What is the phase sequence of a balanced three-phase circuit for which V an = V and V cn = V? Find V bn.
|
|
|
- Berniece Hodges
- 8 years ago
- Views:
Transcription
1 Chter 1, Prblem 1. f b 400 in blnced Y-cnnected three-hse genertr, find the hse vltges, ssuming the hse sequence is: () bc (b) cb Chter 1, Slutin 1. () f b 400, then 400 n bn cn (b) Fr the cb sequence, 0 10 b b n bn 1 1+ j - 0 i.e. in the cb sequence, Hence, if 400, then n bn cn Chter 1, Prblem. b b lgs n by 0. Wht is the hse sequence f blnced three-hse circuit fr which n nd cn ? Find bn. Chter 1, Slutin. Since hse c lgs hse by 10, this is n cb sequence. bn 160 ( ) PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
2 Chter 1, Prblem. Determine the hse sequence f blnced three-hse circuit in which bn nd cn Obtin n. Chter 1, Slutin. Since bn leds cn by 10, this is n bc sequence. n 08 ( ) Chter 1, Prblem 4. three-hse system with bc sequence nd 00 feeds Y-cnnected ld with Z 40 0 Ω. Find the line currents. Chter 1, Slutin n 00 < < 0 Z x40< 0 b Y < < 150 c < < 90 Chter 1, Prblem 5. Fr Y-cnnected ld, the time-dmin exressins fr three line-t-neutrl vltges t the terminls re: v N 150 cs (ω t + º) v BN 150 cs (ω t 88º) v CN 150 cs (ω t + 15º) Write the time-dmin exressins fr the line-t-line vltges v N, v BC, nd v C. Chter 1, Slutin 5. B < 0 x150 < < 6 Thus, 60cs( ωt+ 6 ) vb Using bc sequence, v 60cs( ωt 58 ) BC vc 60cs( ωt+ 18 ) PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
3 Chter 1, Prblem 6. Fr the Y-Y circuit f Fig. 1.41, find the line currents, the line vltges, nd the ld vltges. Figure 1.41 Fr Prb Chter 1, Slutin 6. Z Y 10 + j The line currents re Z n Y b c The line vltges re b 0 0 bc c The ld vltges re N Z Y n BN bn CN cn PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
4 Chter 1, Prblem 7. Obtin the line currents in the three-hse circuit f Fig. 1.4 n the next ge. Figure 1.4 Fr Prb Chter 1, Slutin 7. This is blnced Y-Y system Z Y 6 j8 Ω Using the er-hse circuit shwn bve, j b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
5 Chter 1, Prblem 8. n blnced three-hse Y-Y system, the surce is n bc sequence f vltges nd n rms. The line imednce er hse is j1. Ω, while the er-hse imednce f the ld is 10 + j14 Ω. Clculte the line currents nd the ld vltges. Chter 1, Slutin 8. Cnsider the er hse equivlent circuit shwn belw. Z l n + _ Z n 100 < < 5.1 Z + Z j15. l b c < < < < Z ( j.10)(10 + j14) < b c < < < < PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
6 Chter 1, Prblem 9. blnced Y-Y fur-wire system hs hse vltges n cn bn The ld imednce er hse is 19 + j1 Ω, nd the line imednce er hse is 1 + j Ω. Slve fr the line currents nd neutrl current. Chter 1, Slutin 9. Z n + Z Y j b c s blnced system, n 0 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
7 Chter 1, Prblem 10. Fr the circuit in Fig. 1.4, determine the current in the neutrl line. Figure 1.4 Fr Prb Chter 1, Slutin 10. Since the neutrl line is resent, we cn slve this rblem n er-hse bsis. Fr hse, Fr hse b, Fr hse c, b c n Z + 7 j bn Z + B cn Z j C The current in the neutrl line is n -( + b + c ) r - n + b + c - n ( j.654) + (-5 j8.667) + ( j16.78) n j PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
8 Chter 1, Prblem 11. n the Y- system shwn in Fig. 1.44, the surce is sitive sequence with n 10 0 nd hse imednce Z j Ω. Clculte the line vltge nd the line current. Figure 1.44 Fr Prb Chter 1, Slutin 11. < 0 (10) < 0 B b x b B B Z < 0 j < 0 x10 B < j8.07 j j PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
9 Chter 1, Prblem 1. Slve fr the line currents in the Y- circuit f Fig Tke Z Ω. Figure 1.45 Fr Prb Chter 1, Slutin 1. Cnvert the delt-ld t wye-ld nd ly er-hse nlysis Z Y Z Y Z 0 45 Ω b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
10 Chter 1, Prblem 1. n the blnced three-hse Y- system in Fig. 1.46, find the line current nd the verge wer delivered t the ld. Figure 1.46 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
11 Chter 1, Slutin 1. Cnvert the delt ld t wye s shwn belw rms + Ω Z Y rms Ω N + Z Y Z Y rms Ω + 1 ZY Z j Ω We cnsider the single hse equivlent shwn belw. Ω rms + _ j Ω < j 0.4 S Z Y (0.4) ( j) j5 P Re(S) 744 W. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
12 Chter 1, Prblem 14. Obtin the line currents in the three-hse circuit f Fig n the next ge Figure 1.47 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
13 Chter 1, Slutin 14. We ly mesh nlysis. 1+ j Ω + Z Z - n 1 B C Z 1 + j1ω c b 1+ j Ω Fr mesh, 1+ j Ω (14 + j16) (1 + j) (1 + j1) r 1 ( 14 + j16) 1 (1 + j) (1 + j1) j j86.6 (1) Fr mesh, (1 + j) (1 + j1) + (14 + j16) 0 r ( 1+ j) 1 + (14 + j16) (1 + j1) 50 j j86.6 j17. () Fr mesh, ( 1 + j 1) 1 (1 + j1) + (6 + j6) 0 () Slving (1) t () gives j19., j16.749, j bb cc PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
14 Chter 1, Prblem 15. The circuit in Fig is excited by blnced three-hse surce with line vltge f 10. f Z l 1 + j1 Ω, Z 4 j0ω, nd Z Y 1 + j5 Ω, determine the mgnitude f the line current f the cmbined lds. Figure 1.48 Fr Prb Chter 1, Slutin 15. Cnvert the delt ld, Z, t its equivlent wye ld. Z Ye Z 8 j10 Z Z Z T Z T (1 + j5)(8 j10) Z Y Z Ye j j.047 Z + Z j1.047 We nw use the er-hse equivlent circuit. Z + Z, where ( ) PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
15 Chter 1, Prblem 16. blnced delt-cnnected ld hs hse current C () Determine the three line currents ssuming tht the circuit ertes in the sitive hse sequence. (b) Clculte the ld imednce if the line vltge is B Chter 1, Slutin 16. () 10 ( ) C - C This imlies tht B b c BC B B (b) Z B Ω Chter 1, Prblem 17. blnced delt-cnnected ld hs line current Find the hse currents B, BC, nd C. Chter 1, Slutin B < B < < 5 < 0 < < 115 BC C B < < 15 B PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
16 Chter 1, Prblem 18. f n in the netwrk f Fig. 1.49, find the ld hse currents B, BC, nd C. Figure 1.49 Fr Prb Chter 1, Slutin ( )( 0 ) B n Z 1 + j B B Z BC B C B PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
17 Chter 1, Prblem 19. Fr the - circuit f Fig. 1.50, clculte the hse nd line currents. Figure 1.50 Fr Prb Chter 1, Slutin 19. Z 0 + j The hse currents re b 17 0 B Z BC B C B The line currents re - 0 B C B b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
18 Chter 1, Prblem 0. Refer t the - circuit in Fig Find the line nd hse currents. ssume tht the ld imednce is Z 1 + j9 Ω er hse. Figure 1.51 Fr Prb Chter 1, Slutin 0. Z 1 + j The hse currents re 10 0 B BC B C B The line currents re B b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
19 Chter 1, Prblem 1. Three 0- genertrs frm delt-cnnected surce tht is cnnected t blnced delt-cnnected ld f Z 10 + j8 Ω er hse s shwn in Fig () Determine the vlue f C. (b) Wht is the vlue f b? Figure 1.5 Fr Prb Chter 1, Slutin () C (rms) 10 + j rms (b) bb BC + B BC B j j j j j rms PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
20 Chter 1, Prblem. Find the line currents, b, nd c in the three-hse netwrk f Fig. 1.5 belw. Tke Z 1 j15ω, Z Y 4 + j6 Ω, nd Z l Ω Figure 1.5 Fr Prb. 1.. Chter 1, Slutin. Cnvert the -cnnected surce t Y-cnnected surce. 08 n Cnvert the -cnnected ld t Y-cnnected ld. Z (4 + j6)(4 j5) Z Z Y (4 + j6) (4 j5) 8 + j Z 5.7 j0.15 Z n + Z n Z + Z 7.7 j b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
21 Chter 1, Prblem. three-hse blnced system with line vltge f 0 rms feeds delt-cnnected ld with Z 5 60 Ω. () Find the line current. (b) Determine the ttl wer sulied t the ld using tw wttmeters cnnected t the nd C lines. Chter 1, Slutin. () B B Z B (b) P P1 + P csθ 0 (0) cs kw PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
22 Chter 1, Prblem 4. blnced delt-cnnected surce hs hse vltge b nd sitive hse sequence. f this is cnnected t blnced delt-cnnected ld, find the line nd hse currents. Tke the ld imednce er hse s 60 0 Ω nd line imednce er hse s 1 + j1 Ω. Chter 1, Slutin 4. Cnvert bth the surce nd the ld t their wye equivlents. Z Z Y j10 b n We nw use er-hse nlysis. 1 + j Ω n Ω n (1 + j) + (17. + j10) b c But - 0 B B BC B C B PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
23 Chter 1, Prblem 5. n the circuit f Fig. 1.54, if b , bc , c , find the line currents. Figure 1.54 Fr Prb Chter 1, Slutin 5. Cnvert the delt-cnnected surce t n equivlent wye-cnnected surce nd cnsider the single-hse equivlent. 440 (10 0 ) Z Y where Z + j + 10 j8 1 j Y ( ) b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
24 Chter 1, Prblem 6. Fr the blnced circuit in Fig. 1.55, b Find the line currents, bb, nd cc. Figure 1.55 Fr Prb Chter 1, Slutin 6. Trnsfrm the surce t its wye equivlent. n Nw, use the er-hse equivlent circuit. n Z, Z 4 j bb 10 cc.55 1 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
25 Chter 1, Prblem 7. -cnnected surce sulies wer t Y-cnnected ld in three-hse blnced system. Given tht the line imednce is + j1 Ω er hse while the ld imednce is 6 + j4 Ω er hse, find the mgnitude f the line vltge t the ld. ssume the surce hse vltge b 08 0 rms. Chter 1, Slutin 7. Since Z nd Z l re in series, we cn lum them tgether s tht ZY + j+ 6+ j4 8+ j5 P < 0 08 < 0 ZY (8+ j5) 08(0.866 j0.5)(6 + j4) (6 + j4) j4.54 (8+ j5) Chter 1, Prblem 8. The line-t-line vltges in Y-ld hve mgnitude f 440 nd re in the sitive sequence t 60 Hz. f the lds re blnced with Z 1 Z Z 5 0, find ll line currents nd hse vltges. Chter 1, Slutin r P 440/ b Fr reference, let N 54 0 which leds t BN nd CN The line currents re fund s fllws, P N /Z Y 54/ This leds t, b nd c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
26 Chter 1, Prblem 9. blnced three-hse Y- system hs n 10 0 rms nd Z 51+ j45ω. f the line imednce er hse is j1. Ω, find the ttl cmlex wer delivered t the ld. Chter 1, Slutin 9. We cn relce the delt ld with wye ld, Z Y Z / 17+j15Ω. The er-hse equivlent circuit is shwn belw. Z l n + _ Z Y n < Z + Z 17 + j j1. Y l S S Z + j + j Y (5.0475) (17 15) k PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
27 Chter 1, Prblem 0. n Fig. 1.56, the rms vlue f the line vltge is 08. Find the verge wer delivered t the ld. Figure 1.56 Fr Prb Chter 1, Slutin 0. Since this blnced system, we cn relce it by er-hse equivlent, s shwn belw. - + Z S S, * Z (08) S * Z 0 45 P S cs θ 1.0 kw k PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
28 Chter 1, Prblem 1. blnced delt-cnnected ld is sulied by 60-Hz three-hse surce with line vltge f 40. Ech ld hse drws 6 kw t lgging wer fctr f 0.8. Find: () the ld imednce er hse (b) the line current (c) the vlue f ccitnce needed t be cnnected in rllel with ech ld hse t minimize the current frm the surce Chter 1, Slutin 1. () PP P 6,000, csθ 0.8, S 6 / k csθ Q S P sin θ 4.5 kr S S (6 + j4.5) 18 + j1.5 k Fr delt-cnnected ld, 40 (rms). But S * (40) Z, Z j4. 608Ω * P Z S (18 + j1.5) x10 (b) P 6000 cs x40x0.8 θ (c ) We find C t bring the wer fctr t unity Q c Q Qc k C ω rms πx60x µ F PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
29 Chter 1, Prblem. blnced Y-ld is cnnected t 60-Hz three-hse surce with b The ld hs f 0.5 lgging nd ech hse drws 5 kw. () Determine the ld imednce Z Y. (b) Find, b, nd c. Chter 1, Slutin. 40 () b n < f 0.5 csθ θ 60 P 5 P Scsθ S 10 k csθ 0.5 Q S sinθ 10sin S 5+ j8.66 k But * SP Z * j Z S (5 + j8.66) x10 Z j1.66 Ω n < 0 (b) 7.17 < 90 ZY j1.667 b < < 10 < < 0 c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
30 Chter 1, Prblem. three-hse surce delivers 4800 t wye-cnnected ld with hse vltge f 08 nd wer fctr f 0.9 lgging. Clculte the surce line current nd the surce line vltge. Chter 1, Slutin. S θ S S Fr Y-cnnected ld,, S S 4800 ()(08) Chter 1, Prblem 4. blnced wye-cnnected ld with hse imednce f 10 j16 Ω is cnnected t blnced three-hse genertr with line vltge f 0. Determine the line current nd the cmlex wer bsrbed by the ld. Chter 1, Slutin Z (10 j16) Y 6.7 S θ S 159. j175 Chter 1, Prblem 5. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
31 Three equl imednces, 60 + j0 Ω ech, re delt-cnnected t 0- rms, three-hse circuit. nther three equl imednces, 40 + j10 Ω ech, re wyecnnected crss the sme circuit t the sme ints. Determine: () the line current (b) the ttl cmlex wer sulied t the tw lds (c) the wer fctr f the tw lds cmbined Chter 1, Slutin 5. () This is blnced three-hse system nd we cn use er hse equivlent circuit. The delt-cnnected ld is cnverted t its wye-cnnected equivlent '' 1 Z y Z (60 + j0) / 0 + j Z y Z y '' Z y Z' y // Z y (40 + j10) //(0 + j10) j j5.5 j5.5 (b) S * s.61+ j1.68 k (c ) f P/S Chter 1, Prblem 6. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
32 400-, three-hse trnsmissin line hs n imednce f 4 + j10 Ω er hse. f it sulies ld f 1 M t 0.75 wer fctr (lgging), find: () the cmlex wer (b) the wer lss in the line (c) the vltge t the sending end Chter 1, Slutin 6. () S 1 [ sin(cs ) ] j M 6 * * S ( j0.6614) x10 (b) S j5. 49 x400 P Rl (79.6) (4) 5.19 kw (c) s + (4 + j) j0.1 k k Chter 1, Prblem 7. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
33 The ttl wer mesured in three-hse system feeding blnced wye-cnnected ld is 1 kw t wer fctr f 0.6 leding. f the line vltge is 08, clculte the line current nd the ld imednce Z Y. Chter 1, Slutin 7. P 1 S 0 f 0.6 S S θ 0 θ 1 j16 k But S θ S Z Fr Y-cnnected ld,. Z S (1 j16) 10 ()(55.51) Z 1.98 j1. 71 Ω Chter 1, Prblem 8. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
34 Given the circuit in Fig belw, find the ttl cmlex wer bsrbed by the ld. Figure 1.57 Fr Prb Chter 1, Slutin 8. s blnced three-hse system, we cn use the er-hse equivlent shwn belw (1 + j) + (9 + j1) 10 + j (110) S Z Y (9 + j1) ( ) The cmlex wer is (110) S S (9 + j1) 96 S j75.81 Chter 1, Prblem 9. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
35 Find the rel wer bsrbed by the ld in Fig Figure 1.58 Fr Prb Chter 1, Slutin 9. Cnsider the system shwn belw. 5 Ω c b 1 5 Ω 8 Ω B -j6 Ω 10 Ω 4 Ω j Ω C 5 Ω Fr mesh 1, Fr mesh, Fr mesh, 100 (18 j6) (1) 1 5 (8 j6) () 0 -(8 j6) () ( j) T eliminte, strt by multilying (1) by, 00 (6 j1) 1 10 (16 j1) (4) Subtrcting () frm (4), PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
36 00 (44 j18) (5) 1 (8 j15) Multilying () by 5 4, (6) 1 5 dding (1) nd (6), 87.5 j1.65 (16.75 j6) (10.5 j6 (7) n mtrix frm, (5) nd (7) becme j j j6 1 ) j j j6.5, j95., 110. j j j We btin frm (6), (-.5 j4.) + (1.104 j1.059) + ( j8.71 The verge wer bsrbed by the 8-Ω resistr is P1 1 (8) j.551 (8) The verge wer bsrbed by the 4-Ω resistr is P (4) (6.8571) (4) W The verge wer bsrbed by the 10-Ω resistr is P (10) j.019 (10) Thus, the ttl rel wer bsrbed by the ld is P P + P W 1 P W j.47) 78.1 W PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
37 Chter 1, Prblem 40. Fr the three-hse circuit in Fig. 1.59, find the verge wer bsrbed by the delt-cnnected ld with Z 1+ j4ω. Figure 1.59 Fr Prb Chter 1, Slutin 40. Trnsfrm the delt-cnnected ld t its wye equivlent. Z Z Y 7 + j8 Using the er-hse equivlent circuit bve, (1 + j0.5) + (7 + j8) Fr wye-cnnected ld, S Z ()(8.567) (7 + j8) Re( S) ()(8.567) (7) kw P PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
38 Chter 1, Prblem 41. blnced delt-cnnected ld drws 5 kw t wer fctr f 0.8 lgging. f the three-hse system hs n effective line vltge f 400, find the line current. Chter 1, Slutin 41. P 5 kw S 6.5 k f 0.8 But S S Chter 1, Prblem 4. blnced three-hse genertr delivers 7. kw t wye-cnnected ld with imednce 0 j40 Ω er hse. Find the line current nd the line vltge. Chter 1, Slutin 4. The ld determines the wer fctr. 40 tn θ 1. θ f csθ 0.6 (leding) 7. S 7. j (0.8) 7. j9.6 k 0.6 But S Z S Z (7. j9.6) 10 ()(0 j40) S (8.944) PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
39 Chter 1, Prblem 4. Refer t Fig Obtin the cmlex wer bsrbed by the cmbined lds. Chter 1, Slutin 4. S Z, fr Y-cnnected lds S ( )(1.66) (7.81 j.047) S 4.7 j1.145 k Chter 1, Prblem 44. three-hse line hs n imednce f 1 + j Ω er hse. The line feeds blnced delt-cnnected ld, which bsrbs ttl cmlex wer f 1 + j5 k. f the line vltge t the ld end hs mgnitude f 40, clculte the mgnitude f the line vltge t the surce end nd the surce wer fctr. Chter 1, Slutin 44. Fr -cnnected ld,, t the surce, S S (1 + 5 ) 10 (40) + Z ' ' (1.7)(1 + ' j9.819 ' ls, t the surce, ' ' S * j) ' S ( j9.819)(1.7) θ tn f csθ PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
40 Chter 1, Prblem 45. blnced wye-cnnected ld is cnnected t the genertr by blnced trnsmissin line with n imednce f j Ω er hse. f the ld is rted t 450 kw, wer fctr lgging, 440- line vltge, find the line vltge t the genertr. Chter 1, Slutin 45. S θ - θ S P , S 65.6 k f (65.6) - θ t the surce, (0.5 + j) (84-45 )( ) j k Nte, this is nt nrmlly exerienced in rctice since trnsfrmers re use which cn significntly reduce line lsses. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
41 Chter 1, Prblem 46. three-hse ld cnsists f three 100- Ω resistrs tht cn be wye- r delt-cnnected. Determine which cnnectin will bsrb the mst verge wer frm three-hse surce with line vltge f 110. ssume zer line imednce. Chter 1, Slutin 46. Fr the wye-cnnected ld,, Z * S * Z Z S Z * ( 110) W Fr the delt-cnnected ld,,, Z * S * Z Z ()(110) S 6 W 100 * * This shws tht the delt-cnnected ld will deliver three times mre verge wer thn the wye-cnnected ld. This is ls evident frm Y Z Z. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
42 Chter 1, Prblem 47. The fllwing three rllel-cnnected three-hse lds re fed by blnced threehse surce: d 1: 50 k, 0.8 f lgging d : 00 k, 0.95 f leding d : 450 k, unity f f the line vltge is 1.8 k, clculte the line current nd the wer fctr f the surce. ssume tht the line imednce is zer. Chter 1, Slutin (lgging) θ cs (0.8) j150 k f -1 S (leding) θ cs (0.95) j9.65 k f -1 S -1 f 1.0 θ cs (1) 0 S 450 k S T S1 + S + S 95 + j k S T ( ) 9.19 rms f csθ cs(.45 ) (lgging) PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
43 Chter 1, Prblem 48. blnced, sitive-sequence wye-cnnected surce hs n 40 0 rms nd sulies n unblnced delt-cnnected ld vi trnsmissin line with imednce + j Ω er hse. () Clculte the line currents if Z B 40 + j15 Ω, Z BC 60 Ω, Z C 18 j1ω. (b) Find the cmlex wer sulied by the surce. Chter 1, Slutin 48. () We first cnvert the delt ld t its equivlent wye ld, s shwn belw. 18-j1 Ω 40+j15 Ω Z Z B Z C C B C B 60 Ω Z (40 + j15)( j j1) j1.9 60(40 + j15). Z B j j Z C 60( j1) j 8.99 j6.0 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
44 The system becmes tht shwn belw. +j + 40<0 Z Z B Z C 40<10 40< j c b B C +j We ly K t the ls. Fr mesh 1, (Z l + Z + Z B ) ( Z B + Z l ) 0 r ( j 11.1) 1 (.5 + j10.105) 60 + j07.85 (1) Fr mesh, ( Z B + Z l ) + (Z l + Z B + Z C ) 0 r (.5 + j10.105) 1 + (.51+ j6.775) j () Slving (1) nd () gives 1.75 j5.8, j , 1 bb cc (b) S ( S 40 0 )( ) ( S b )( ) ( S b )( ) S + S b + S c j0.55 k k PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
45 Chter 1, Prblem 49. Ech hse ld cnsists f 0- Ω resistr nd 10- Ω inductive rectnce. With line vltge f 0 rms, clculte the verge wer tken by the ld if: () the three-hse lds re delt-cnnected (b) the lds re wye-cnnected Chter 1, Slutin 49. () Fr the delt-cnnected ld, Z 0 + j10ω, 0 (rms), S Z * x (0 j10) r 5.808kW j k (b) Fr the wye-cnnected ld, Z 0 + j10ω, /, S x k r kw * Z (0 j10) Chter 1, Prblem 50. blnced three-hse surce with 40 rms is sulying 8 k t 0.6 wer fctr lgging t tw wye-cnnected rllel lds. f ne ld drws kw t unity wer fctr, clculte the imednce er hse f the secnd ld. Chter 1, Slutin 50. S S 1 + S 8(0.6 + j0.8) j6.4 k, S 1 k Hence, S S S But Z j * Z 6.4 k. Z S, S * * * 40 Z Ω j S (1.8 + j6.4) x10 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
46 Chter 1, Prblem 51. Cnsider the - system shwn in Fig Tke Z i 8 + j6 Ω, Z 4. j. Ω, Z 10 + j0ω. () Find the hse current B, BC, C. (b) Clculte line currents, bb, nd cc Z Z 1 b + c C Z B Figure 1.60 Fr Prb Chter 1, Slutin 51. This is n unblnced system. 40 < 0 40 < 0 B 19.-j14.4 Z 8+ j j BC j7.09 Z C 1 j0.78 Z 10 t nde, (19. j14.4) ( 1 j0.78) 1. + j j6.8 B C ( j7.08) (19. j14.4) j41.48 bb b BC B cc c C BC j41.48 ( 1 j0.78) ( j7.08) 0.76 j j47.86 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
47 Chter 1, Prblem 5. fur-wire wye-wye circuit hs n 10 10, bn 10 0 cn f the imednces re Z N 0 60, Z BN 0 0 Z cn 40 0 Ω find the current in the neutrl line. Chter 1, Slutin 5. Since the neutrl line is resent, we cn slve this rblem n er-hse bsis. n Z 0 60 b c N bn Z 0 0 BN cn Z 40 0 CN Thus, n b c - n n ( + j5.196) + (4) + (-.598 j1.5) - n j n PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
48 Chter 1, Prblem 5. n the Y-Y system shwn in Fig. 1.61, lds cnnected t the surce re unblnced. () Clculte, b, nd c. (b) Find the ttl wer delivered t the ld. Tke 40 rms. Figure 1.61 Fr Prb Chter 1, Slutin 5. lying mesh nlysis s shwn belw, we get. + _ P 0 100Ω 1 P 10 P 10 80Ω + + b 60 Ω c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
49 40 < < 0 + x j07.84 (1) < < j415.7 () n mtrix frm, (1) nd () becme j j415.7 Using MTB, we get, >> Z[160,-60;-60,140] Z >> [( i);-415.7i] 1.0e+00 * i i >> inv(z)* i i j0.07 nd j b j c S Z x W (.69) b b b (.454) c c c (.0957) S Z x W S Z x W P P + P b + P c.05 kw PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
50 Chter 1, Prblem 54. blnced three-hse Y-surce with P 10 rms drives Y-cnnected three-hse ld with hse imednce Z 80 Ω, Z B 60 + j90ω, nd Z C j80 Ω. Clculte the line currents nd ttl cmlex wer delivered t the ld. ssume tht the neutrls re cnnected. Chter 1, Slutin 54. Cnsider the ld s shwn belw. N N b B C c 10 < b j c 10 < 0.65 < 90 j80 S 10x * * 10 S b b 6.15 j9. Z 60 j90 + S c * c * b 10 Z j80 j551.5 S S + S + S j b c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
51 Chter 1, Prblem 55. three-hse suly, with the line vltge 40 rms sitively hsed, hs n unblnced delt-cnnected ld s shwn in Fig Find the hse currents nd the ttl cmlex wer. Figure 1.6 Fr Prb Chter 1, Slutin 55. The hse currents re: B 40/j C / BC / The cmlex wer in ech hse is: S Z (9.6) j5 j04 B B B S Z < C C C (6) S Z < + j The ttl cmlex wer is, BC BC BC (8) S S + S + S j64.10+j.64 k B C BC PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
52 Chter 1, Prblem 56. Refer t the unblnced circuit f Fig Clculte: () the line currents (b) the rel wer bsrbed by the ld (c) the ttl cmlex wer sulied by the surce Figure 1.6 Fr Prb Chter 1, Slutin 56. () Cnsider the circuit belw b + 1 B j10 Ω -j5 Ω Ω c C Fr mesh 1, j10( 1 ) 0 (440)(1.5 + j0.866) (1) j10 Fr mesh, ( ) 0 (440)( j1.7) j8.1 () 0 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
53 Fr mesh, j10( 1) + 0( ) j5 Substituting (1) nd () int the equtin fr mesh gives, (440)( j0.866) () j5 Frm (1), j Frm (), 1 j j b j c (b) S S (j10) B 1 (0) BC j58.08 k 9.04 k S C (-j5) (15.4) (-j5) -j k S S + S + S B BC C 9.04 j58.08 k Rel wer bsrbed 9.04 kw (c) Ttl cmlex sulied by the surce is S 9.04 j58.08 k PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
54 Chter 1, Prblem 57. Determine the line currents fr the three-hse circuit f Fig et 110 0, b , c Figure 1.64 Fr Prb Chter 1, Slutin 57. We ly mesh nlysis t the circuit shwn belw. c j 0Ω b + + b 80 + j 50Ω 60 j40ω c ( j80) 1 (0 + j0) b j95.6 (1) ( 0 + j0) 1 + (80 j10) b c j190.5 () j0.6084, j Slving (1) nd () gives , 1 b 0.58 j c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
55 Chter 1, Prblem 58. Slve Prb using PSice. Chter 1, Slutin 58. The schemtic is shwn belw. PRNT is inserted in the neutrl line t mesure the current thrugh the line. n the C Swee bx, we select Ttl Ptss 1, Strt Freq , nd End Freq fter simultin, the utut file includes FREQ M(_PRNT4) P(_PRNT4) 1.59 E E E+01 i.e. n PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
56 Chter 1, Prblem 59. The surce in Fig is blnced nd exhibits sitive hse sequence. f f 60 Hz, use PSice t find N, BN, nd CN. Figure 1.65 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
57 Chter 1, Slutin 59. The schemtic is shwn belw. n the C Swee bx, we set Ttl Pts 1, Strt Freq 60, nd End Freq 60. fter simultin, we btin n utut file which includes FREQ M(1) P(1) E E E+01 FREQ M() P() E E E+01 FREQ M() P() E E E+01 i.e. N , BN , CN PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
58 Chter 1, Prblem 60. Use PSice t determine in the single-hse, three-wire circuit f Fig et Z 1 15 j10ω, Z 0 + j0 Ω, nd Z 1 + j5 Ω. Figure 1.66 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
59 Chter 1, Slutin 60. The schemtic is shwn belw. PRNT is inserted t give. We select Ttl Pts 1, Strt Freq 0.159, nd End Freq in the C Swee bx. Un simultin, the utut file includes FREQ M(_PRNT4) P(_PRNT4) 1.59 E E E+0 frm which, PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
60 Chter 1, Prblem 61. Given the circuit in Fig. 1.67, use PSice t determine currents nd vltge BN. Figure 1.67 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
61 Chter 1, Slutin 61. The schemtic is shwn belw. Pseudcmnents PRNT nd PRNT re inserted t mesure nd BN. n the C Swee bx, we set Ttl Pts 1, Strt Freq 0.159, nd End Freq Once the circuit is simulted, we get n utut file which includes frm which FREQ M() P() 1.59 E E E+0 FREQ M(_PRNT) P(_PRNT) 1.59 E E E , BN PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
62 Chter 1, Prblem 6. The circuit in Fig ertes t 60 Hz. Use PSice t find the surce current b nd the line current bb. Figure 1.68 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
63 Chter 1, Slutin 6. Becuse f the delt-cnnected surce invlved, we fllw Exmle 1.1. n the C Swee bx, we tye Ttl Pts 1, Strt Freq 60, nd End Freq 60. fter simultin, the utut file includes FREQ M(_PRNT) P(_PRNT) E E E+01 FREQ M(_PRNT1) P(_PRNT1) E E E+0 Frm which b 7.x , bb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
64 Chter 1, Prblem 6. Use PSice t find currents nd C in the unblnced three-hse system shwn in Fig et Z + j, Z j0 Ω, Z 50 j0ω, Z 5 Ω Figure 1.69 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
65 Chter 1, Slutin 6. 1 et ω 1 s tht X/ ω 0 H, nd C 0.0 F ωx The schemtic is shwn belw. When the file is sved nd run, we btin n utut file which includes the fllwing:. FREQ M(_PRNT1)P(_PRNT1) 1.59E E E+0 FREQ M(_PRNT)P(_PRNT) 1.59E E E+0 Frm the utut file, the required currents re: , C Chter 1, Prblem 64. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
66 Fr the circuit in Fig. 1.58, use PSice t find the line currents nd the hse currents. Chter 1, Slutin 64. We fllw Exmle 1.1. n the C Swee bx we tye Ttl Pts 1, Strt Freq 0.159, nd End Freq fter simultin the utut file includes frm this we btin FREQ M(_PRNT1) P(_PRNT1) 1.59 E E E+01 FREQ M(_PRNT) P(_PRNT) 1.59 E E E+0 FREQ M(_PRNT) P(_PRNT) 1.59 E E E+00 FREQ M(_PRNT4) P(_PRNT4) 1.59 E E E+01 FREQ M(_PRNT5) P(_PRNT5) 1.59 E E E+01 FREQ M(_PRNT6) P(_PRNT6) 1.59 E E E , bb , cc B , C , BC PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
67 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
68 Chter 1, Prblem 65. blnced three-hse circuit is shwn in Fig n the next ge. Use PSice t find the line currents, bb, nd cc. Figure 1.70 Fr Prb Chter 1, Slutin 65. Due t the delt-cnnected surce, we fllw Exmle 1.1. We tye Ttl Pts 1, Strt Freq 0.159, nd End Freq The schemtic is shwn belw. fter it is sved nd simulted, we btin n utut file which includes FREQ M(_PRNT1) P(_PRNT1) 1.59E E E+00 FREQ M(_PRNT) P(_PRNT) 1.59E E E+0 FREQ M(_PRNT) P(_PRNT) 1.59E E E+0 Thus, , bb , cc PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
69 Since this is blnced circuit, we cn erfrm quick check. The ld resistnce is lrge cmred t the line nd surce imednces s we will ignre them (lthugh it wuld nt be difficult t include them). Cnverting the surces t Y cnfigurtin we get: n rms nd Z Y 10 j Nw we cn clculte, ( )/( ) Clerly, we hve gd rximtin which is very clse t wht we relly hve. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
70 Chter 1, Prblem 66. three-hse, fur-wire system erting with 08- line vltge is shwn in Fig The surce vltges re blnced. The wer bsrbed by the resistive wyecnnected ld is mesured by the three-wttmeter methd. Clculte: () the vltge t neutrl (b) the currents 1,,, nd n (c) the redings f the wttmeters (d) the ttl wer bsrbed by the ld Figure 1.71 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
71 Chter 1, Slutin () 10 (b) Becuse the ld is unblnced, we hve n unblnced three-hse system. ssuming n bc sequence, N () j N j j () j Hence, 1.5,,, N (c) P R (.5) (48) W R () (40) 60 W P R () (60) 40 W P (d) P P + P + P 900 W T 1 PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
72 Chter 1, Prblem 67. * s shwn in Fig. 1.7, three-hse fur-wire line with hse vltge f 10 rms nd sitive hse sequence sulies blnced mtr ld t 60 k t 0.85 f lgging. The mtr ld is cnnected t the three min lines mrked, b, nd c. n dditin, incndescent lms (unity f) re cnnected s fllws: 4 kw frm line c t the neutrl, 15 kw frm line b t the neutrl, nd 9 kw frm line c t the neutrl. () f three wttmeters re rrnged t mesure the wer in ech line, clculte the reding f ech meter. (b) Find the mgnitude f the current in the neutrl line. Figure 1.7 Fr Prb * n sterisk indictes chllenging rblem. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
73 Chter 1, Slutin 67. () The wer t the mtr is P T Scsθ (60)(0.85) 1 kw The mtr wer er hse is 1 P PT 7.67 kw Hence, the wttmeter redings re s fllws: kw W W b kw W c kw (b) The mtr ld is blnced s tht N 0. Fr the lighting lds, 4, ,000 b ,000 c f we let b c Then, N - N b 00 + (15) j - N 100 j N c + (75) j PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
74 Chter 1, Prblem 68. Meter redings fr three-hse wye-cnnected lterntr sulying wer t mtr indicte tht the line vltges re 0, the line currents re 8.4, nd the ttl line wer is 4.5 kw. Find: () the ld in (b) the ld f (c) the hse current (d) the hse vltge Chter 1, Slutin 68. () S (0)(8.4) 4801 (b) P Scsθ f csθ P S 4500 f (c) Fr wye-cnnected ld, (d) PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
75 Chter 1, Prblem 69. certin stre cntins three blnced three-hse lds. The three lds re: d 1: 16 k t 0.85 f lgging d : 1 k t 0.6 f lgging d : 8 kw t unity f The line vltge t the ld is 08 rms t 60 Hz, nd the line imednce is j0.8 Ω. Determine the line current nd the cmlex wer delivered t the lds. Chter 1, Slutin 69. Fr ld 1, S1 S1csθ 1+ js1sinθ1 f 0.85 csθ1 θ S j8.4 k Fr ld, S 1x0.6 + j1x j9.6 k Fr ld, S 8+ j0 k S S1 + S + S j j18.0 k But S P P * P with P * S (8800 j1800) P + P x j Nte, this is reltive t f we ssume sitive hse rttin nd b 08 0, then n which yields , b , c PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
76 Chter 1, Prblem 70. The tw-wttmeter methd gives P W nd P 400 W fr three-hse mtr running n 40- line. ssume tht the mtr ld is wye-cnnected nd tht it drws line current f 6. Clculte the f f the mtr nd its hse imednce. Chter 1, Slutin 70. P T P1 + P Q 1 T P P QT tn θ - θ -6.4 P 800 T f csθ (leding) Z Z Ω PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
77 Chter 1, Prblem 71. n Fig. 1.7, tw wttmeters re rerly cnnected t the unblnced ld sulied by blnced surce such tht b 08 0 with sitive hse sequence. () Determine the reding f ech wttmeter. (b) Clculte the ttl rent wer bsrbed by the ld. Figure 1.7 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
78 Chter 1, Slutin 71. () f 08 0, 08-10, 08 10, B BC C b b Z 0 b bc bc Z BC c Z 1.6 C c cc cc B C j C BC P1 b cs( θ b θ ) (08)(0.171) cs( ) P W P cb cc cs( θ cb θ ) cc But cb - bc P (08)(0.64) cs( ) 4808 W (b) PT P1 + P W QT (P P1 ) R S P + jq j840.5 T T T S S 85 T T PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
79 Chter 1, Prblem 7. f wttmeters W 1 nd W re rerly cnnected resectively between lines nd b nd lines b nd c t mesure the wer bsrbed by the delt-cnnected ld in Fig. 1.44, redict their redings. Chter 1, Slutin 7. Frm Prblem 1.11, 0 10 nd P 1 B (0)(0) cs( ) 44 W CB cc BC 0-60 P (0)(0) cs( ) - 57 W PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
80 Chter 1, Prblem 7. Fr the circuit dislyed in Fig. 1.74, find the wttmeter redings. Figure 1.74 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
81 Chter 1, Slutin 7. Cnsider the circuit s shwn belw Z Z Z b c Z 10 + j b c Z c c b c * P [ ] Re[ (40-60 )( ] Re ) 60 W * P [ ] Re[ (40-10 )( ] Re ) W PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
82 Chter 1, Prblem 74. Predict the wttmeter redings fr the circuit in Fig Figure 1.75 Fr Prb PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
83 Chter 1, Slutin 74. Cnsider the circuit shwn belw. Z 60 j0 Ω Z Z Fr mesh 1, Fr mesh, 08 Z Z Z + Z 1 n mtrix frm, 08 Z Z -Z Z 1 Z, 1 (08)(1.5 + j0.866) Z, (08)(j1.7) Z 1 1 (08)(1.5 + j0.866) ()(60 j0) (08)( j1.7) ()(60 j0) * P [ ] Re[ (08)( ] Re ) [ (- ) ] Re[ (08-60 ))( ] * P Re ) W W PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
84 Chter 1, Prblem 75. mn hs bdy resistnce f 600 Ω. Hw much current flws thrugh his ungrunded bdy: () when he tuches the terminls f 1- utbttery? (b) when he sticks his finger int 10- light scket? Chter 1, Slutin () R (b) R m 00 m Chter 1, Prblem 76. Shw tht the R lsses will be higher fr 10- lince thn fr 40- lince if bth hve the sme wer rting. Chter 1, Slutin 76. f bth linces hve the sme wer rting, P, P s Fr the 10- lince, Fr the 40- lince, Pwer lss P R R 10 P R 40 P P. 40 fr the10- lince fr the 40- lince 1 1 Since >, the lsses in the 10- lince re higher PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
85 Chter 1, Prblem 77. three-hse genertr sulied.6 k t wer fctr f 0.85 lgging. f 500 W re delivered t the ld nd line lsses re 80 W er hse, wht re the lsses in the genertr? Chter 1, Slutin 77. P g P P P, f T ld line But P T 600 csθ 600 f 060 P g ()(80) 0 W Chter 1, Prblem 78. three-hse 440-, 51-kW, 60-k inductive ld ertes t 60 Hz nd is wyecnnected. t is desired t crrect the wer fctr t 0.95 lgging. Wht vlue f ccitr shuld be lced in rllel with ech ld imednce? Chter 1, Slutin csθ θ S sin θ (60)(0.568) 1.61 kr Q1 1 1 P P1 51 kw csθ 0.95 θ P S 5.68 k csθ Q S sin θ kr c Q1 Q kr Q Fr ech ld, Q Q 1 Q c1 C ω c c 4.95 kr 4950 (π)(60)(440) 67.8 µ F PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
86 Chter 1, Prblem 79. blnced three-hse genertr hs n bc hse sequence with hse vltge n The genertr feeds n inductin mtr which my be reresented by blnced Y-cnnected ld with n imednce f 1 + j5 Ω er hse. Find the line currents nd the ld vltges. ssume line imednce f Ω er hse. Chter 1, Slutin 79. Cnsider the er-hse equivlent circuit belw. Ω n + Z Y 1 + j5 Ω n N n Z + Y j5 Thus, b c N Z ( )(1.6 ) Y.97 Thus, -10 BN N CN N PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
87 Chter 1, Prblem 80. blnced three-hse surce furnishes wer t the fllwing three lds: d 1: 6 k t 0.8 f lgging d : unknwn d : 8 kw t f leding f the line current is 84.6 rms, the line vltge t the ld is 08 rms, nd the cmbined ld hs 0.8 f lgging, determine the unknwn ld. Chter 1, Slutin S S1 + S + S 6[0.8 + j sin(cs 0.8)] + S + 8( j0.7071) S j.1+ S k (1) But S θ (08)(84.6)(0.8 + j0.6) j18.87 k () Frm (1) nd (), S j k Thus, the unknwn ld is 4.76 k t f lgging. PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
88 Chter 1, Prblem 81. rfessinl center is sulied by blnced three-hse surce. The center hs fur blnced three-hse lds s fllws: d 1: 150 k t 0.8 f leding d : 100 kw t unity f d : 00 k t 0.6 f lgging d 4: 80 kw nd 95 kr (inductive) f the line imednce is j0.05 Ω er hse nd the line vltge t the lds is 480, find the mgnitude f the line vltge t the surce. Chter 1, Slutin 81. f 0.8 (leding) θ S k 1 f 1.0 θ 0 S k f 0.6 (lgging) θ 5. 1 S k S j95 k S S1 + S + S + S 4 S 40 + j k S S Fr the line, S Z ()(54.7) (0.0 + j0.05) S j44.18 k t the surce, S T S + S j09. S k T T S T PROPRETRY MTER. 007 The McGrw-Hill Cmnies, nc. ll rights reserved. N rt ermitted by McGrw-Hill fr their individul curse rertin. f yu re student using this Mnul,
Electric Circuits II. More about Mutual Inductance. Lecture #22
EE 05 Dr. A. Ziduri Electric Circuits II Mre abut Mutual Inductance Lecture # - - EE 05 Dr. A. Ziduri The material t be cvered in this lecture is as fllws: Mutual Inductance in Terms f Self Inductance
Module 5. Three-phase AC Circuits. Version 2 EE IIT, Kharagpur
Module 5 Three-hse A iruits Version EE IIT, Khrgur esson 8 Three-hse Blned Suly Version EE IIT, Khrgur In the module, ontining six lessons (-7), the study of iruits, onsisting of the liner elements resistne,
Chapter 04.00E Physical Problem for Electrical Engineering Simultaneous Linear Equations
hpter 04.00E Phyicl Prblem fr Electricl Egieerig Simulteu Lie Equti Prblem Sttemet Three-phe ytem e the rm fr mt idutril pplicti. pwer i the frm f vltge d curret it delivered frm the pwer cmpy uig three-phe
Binary Representation of Numbers Autar Kaw
Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse- rel number to its binry representtion,. convert binry number to n equivlent bse- number. In everydy
How To Understand The Power Control System
THREE-PHASE CIRCUITS PART I AC GENERATOR Single-phase AC generatr - designed t generate a single sinusidal vltage fr each rtatin f the shaft (rtr). Plyphase AC generatr - designed t generate multiple utf-phase
BALANCED THREE-PHASE AC CIRCUIT
BAANCED THREE-PHASE AC CRCUT Balanced Three-Phase oltage Sources Delta Connection Star Connection Balanced 3-hase oad Delta Connection Star Connection Power in a Balanced Phase Circuit ntroduction Three
Network Theorems - Alternating Current examples - J. R. Lucas
Netwrk Therems - lternating urrent examples - J. R. Lucas n the previus chapter, we have been dealing mainly with direct current resistive circuits in rder t the principles f the varius therems clear.
TRAINING GUIDE. Crystal Reports for Work
TRAINING GUIDE Crystal Reprts fr Wrk Crystal Reprts fr Wrk Orders This guide ges ver particular steps and challenges in created reprts fr wrk rders. Mst f the fllwing items can be issues fund in creating
Three Phase Circuits. Three Phase Circuits
Three Phase Circuits 1 Three Phase Circuits Chater Objectives: Be familiar with different three-hase configurations and how to analyze them. Know the difference between balanced and unbalanced circuits
Archive of SID. Analysis of Unbalance Due to Asymmetrical Loads. www.sid.ir. Michal Pokorny
50 RNN JOURNL OF ELECTRCL ND COMPUTER ENGNEERNG, VOL. 4, NO., WNTER-SPRNG 005 nlysis f Unblnce Due t symmetricl Lds Michl Pkrny bstrct The pper nlyses current unblnce cused by lds cnnected either t line
Sinusoidal Steady State Response of Linear Circuits. The circuit shown on Figure 1 is driven by a sinusoidal voltage source v s (t) of the form
Sinusidal Steady State espnse f inear Circuits The circuit shwn n Figure 1 is driven by a sinusidal ltage surce v s (t) f the frm v () t = v cs( ωt) (1.1) s i(t) + v (t) - + v (t) s v c (t) - C Figure
Times Table Activities: Multiplication
Tny Attwd, 2012 Times Table Activities: Multiplicatin Times tables can be taught t many children simply as a cncept that is there with n explanatin as t hw r why it is there. And mst children will find
Implementing ifolder Server in the DMZ with ifolder Data inside the Firewall
Implementing iflder Server in the DMZ with iflder Data inside the Firewall Nvell Cl Slutins AppNte www.nvell.cm/clslutins JULY 2004 OBJECTIVES The bjectives f this dcumentatin are as fllws: T cnfigure
The Gibbs Free Energy and Cell Voltage
The Gibbs Free Energy and Cell Vltage When an amunt f charge, Q, mves thrugh a ptential difference, E w = - Q E b/c wrk dne by the system E > 0 fr galvanic (vltaic) cells Recall, G = H TS = E + PV TS Fr
CSE 231 Fall 2015 Computer Project #4
CSE 231 Fall 2015 Cmputer Prject #4 Assignment Overview This assignment fcuses n the design, implementatin and testing f a Pythn prgram that uses character strings fr data decmpressin. It is wrth 45 pints
New York University Computer Science Department Courant Institute of Mathematical Sciences
New Yrk University Cmputer Science Department Curant Institute f Mathematical Sciences Curse Title: Data Cmmunicatin & Netwrks Curse Number:CSCI-GA.2662-00 Instructr: Jean-Claude Franchitti Sessin: 2 Assignment
Electrochemical cells
Electrchemical cells In this chapter, we turn ur attentin t electrn transfer reactins. T identify an electrn transfer reactins, we must assign xidatin states review rules in Chapter 3. e.g. Zn(s) Cu(NO
Wireless Light-Level Monitoring
Wireless Light-Level Mnitring ILT1000 ILT1000 Applicatin Nte Wireless Light-Level Mnitring 1 Wireless Light-Level Mnitring ILT1000 The affrdability, accessibility, and ease f use f wireless technlgy cmbined
Student Academic Learning Services Page 1 of 7. Statistics: The Null and Alternate Hypotheses. A Student Academic Learning Services Guide
Student Academic Learning Services Page 1 f 7 Statistics: The Null and Alternate Hyptheses A Student Academic Learning Services Guide www.durhamcllege.ca/sals Student Services Building (SSB), Rm 204 This
Elite Home Office and Roku HD Setup
Elite Hme Office and Rku HD Setup Spt On Netwrks Elite Hme Office ffers the user the advantages f having yur wn private wireless netwrk within ur larger netwrk. Print wirelessly, share files between devices,
McAfee Enterprise Security Manager. Data Source Configuration Guide. Infoblox NIOS. Data Source: September 2, 2014. Infoblox NIOS Page 1 of 8
McAfee Enterprise Security Manager Data Surce Cnfiguratin Guide Data Surce: Infblx NIOS September 2, 2014 Infblx NIOS Page 1 f 8 Imprtant Nte: The infrmatin cntained in this dcument is cnfidential and
Connecting to Email: Live@edu
Cnnecting t Email: Live@edu Minimum Requirements fr Yur Cmputer We strngly recmmend yu upgrade t Office 2010 (Service Pack 1) befre the upgrade. This versin is knwn t prvide a better service and t eliminate
Remote Desktop Tutorial. By: Virginia Ginny Morris
Remte Desktp Tutrial By: Virginia Ginny Mrris 2008 Remte Desktp Tutrial Virginia Ginny Mrris Page 2 Scpe: The fllwing manual shuld accmpany my Remte Desktp Tutrial vide psted n my website http://www.ginnymrris.cm
Otomasyon, Danışmanlık Ltd. Şti. INDILOAD DATACARD M AN UAL. Antetli03.doc / Page 9 of 1. Kibele Hedef mükemmele ulasmaksa.
Otmasyn, Danışmanlık Ltd. Şti. INDILOAD DATACARD M AN UAL Antetli03.dc / Page 9 f 1 Otmasyn, Danışmanlık Ltd. Şti. Chapter 1 : General Chapter 2 : Cnnectins Chapter 3 : Operatin Chapter 4 : Technical sheet
Configuring an Email Client for your Hosting Support POP/IMAP mailbox
Cnfiguring an Email Client fr yur Hsting Supprt POP/IMAP mailbx This article lists the email settings and prt numbers fr pp and imap cnfiguratins, as well as fr SSL. It cntains instructins fr setting up
The Velocity Factor of an Insulated Two-Wire Transmission Line
The Velocity Fctor of n Insulted Two-Wire Trnsmission Line Problem Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Mrch 7, 008 Estimte the velocity fctor F = v/c nd the
GED MATH STUDY GUIDE. Last revision July 15, 2011
GED MATH STUDY GUIDE Last revisin July 15, 2011 General Instructins If a student demnstrates that he r she is knwledgeable n a certain lessn r subject, yu can have them d every ther prblem instead f every
Getting started with Android
Getting started with Andrid Befre we begin, there is a prerequisite, which is t plug the Andrid device int yur cmputer, and lad the drivers fr the OS. In writing this article, I was using Windws XP, 7
SOLUTIONS ELECTRICAL ENGINEERING (EE) PRACTICE PROBLEMS FOR TECHNICAL MAJORS
SOUTIONS EECTRICA ENGINEERING (EE) PRACTICE PROBEMS FOR TECHNICA MAJORS Nte: The text entitled Applied Engineering Principles Manual is used as the reference fr the questins and prblems belw. Althugh nly
Graphs on Logarithmic and Semilogarithmic Paper
0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl
Exercise 6: Gene Ontology Analysis
Overview: Intrductin t Systems Bilgy Exercise 6: Gene Ontlgy Analysis Gene Ontlgy (GO) is a useful resurce in biinfrmatics and systems bilgy. GO defines a cntrlled vcabulary f terms in bilgical prcess,
Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100
hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by
CHECKING ACCOUNTS AND ATM TRANSACTIONS
1 Grades 6-8 Lessn 1 CHECKING ACCOUNTS AND ATM TRANSACTIONS Tpic t Teach: This lessn is intended fr middle schl students in sixth thrugh eighth grades during a frty minute time perid. The lessn teaches
Basic Guide line for The Sportident system
Basic Guide line fr The Sprtident system SI-statins BSF7-8, Master statins BSM7, SI-Cnfig versin 1.4.1, 2006-10-24-1 - Index This guide line... 3 General... 3 Knwledge... 3 Mre infrmatin... 3 System requirements...
Data Validation and Iteration
Financial Mdeling Data Validatin and Iteratin As analysts are bmbarded with a lt ff data, ne shuld be able t check data veracity. This is where the data validatin functins cme in handy. Few excel functins
Citrix Client (PN Agent) Upgrade Citrix Receiver 3.3
1 P a g e February, 2013 Citrix Client (PN Agent) Upgrade Citrix Receiver 3.3 OCFS is in the prcess f upgrading the Citrix Server Envirnment, which requires an update t the Citrix Client (PN Agent). The
Factoring Polynomials
Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles
Email Setup PPD IT How-to Guides June 2010
Email Setup Cntents Email Infrmatin... 2 IMAP and POP3 settings... 2 Cnfiguring Micrsft Outlk 2007... 2 Archiving mail... 3 Cnfiguring AutArchive in Micrsft Outlk 2007... 3 Access frm ff site... 4 Cnfiguring
Conduction in the Cylindrical Geometry
Cnductin in the Cylindrical Gemetry R. Shankar Subramanian Department f Chemical and Bimlecular Engineering Clarksn University Chemical engineers encunter cnductin in the cylindrical gemetry when they
learndirect Test Information Guide The National Test in Adult Numeracy
learndirect Test Infrmatin Guide The Natinal Test in Adult Numeracy 1 Cntents The Natinal Test in Adult Numeracy: Backgrund Infrmatin... 3 What is the Natinal Test in Adult Numeracy?... 3 Why take the
Application Advisories for Data Integrator for Non- EDI location
Applicatin Advisries fr Data Integratr fr Nn- EDI lcatin It is a standalne Windws based applicatin that will be installed at every Cmmissinerate. Applicatin will be used fr filling Bill f Entry and Shipping
esupport Quick Start Guide
esupprt Quick Start Guide Last Updated: 5/11/10 Adirndack Slutins, Inc. Helping Yu Reach Yur Peak 908.725.8869 www.adirndackslutins.cm 1 Table f Cntents PURPOSE & INTRODUCTION... 3 HOW TO LOGIN... 3 SUBMITTING
Emulation Tech Note 12 Testing XDS560V2 STM Emulator s Ethernet Port on Wi-Fi
Emulatin Tech Nte 12 Testing XDS560V2 STM Emulatr s Ethernet Prt n Wi-Fi Dcument Revisin 0.01 March 2, 2011 Page 1 f 6 TABLE OF CONTENTS 1 OVERVIEW... 3 2 HARDWARE TOOLS USED FOR TESTING... 3 3 SOFTWARE
Getting Your Fingers In On the Action
Rry Garfrth Getting Yur Fingers In On the Actin Once yu are able t strum with yur fingers, yu can begin fingerpicking! The first task is t learn yur hand psitin and t learn which fingers are used n which
Hardware components. Typical connections and data flow. Student 3 page 1: Low Merit
Student 3 page 1: Lw Merit Hardware cmpnents Extensin cards Descriptin, Hw purpse determines cnnectins Extensin cards extend the capacity f the mtherbard by allwing a circuit bard r card t cnnect t it
Laboratory 2 Design of an Instrumentation Amplifier
Labratry Design f an Instrumentatin Amplifier OBJECTIVE T esign an implement an p-amp base instrumentatin amplifier. BACKGOUND An instrumentatin amplifier is typically the first stage in an instrumentatin
Writing a Compare/Contrast Essay
Writing a Cmpare/Cntrast Essay As always, the instructr and the assignment sheet prvide the definitive expectatins and requirements fr any essay. Here is sme general infrmatin abut the rganizatin fr this
efusion Table of Contents
efusin Cst Centers, Partner Funding, VAT/GST and ERP Link Table f Cntents Cst Centers... 2 Admin Setup... 2 Cst Center Step in Create Prgram... 2 Allcatin Types... 3 Assciate Payments with Cst Centers...
Reasoning to Solve Equations and Inequalities
Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing
Success in Mathematics
Success in Mathematics Tips n hw t study mathematics, hw t apprach prblem-slving, hw t study fr and take tests, and when and hw t get help. Math Study Skills Be actively invlved in managing the learning
Experiment 6: Friction
Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht
How do I evaluate the quality of my wireless connection?
Hw d I evaluate the quality f my wireless cnnectin? Enterprise Cmputing & Service Management A number f factrs can affect the quality f wireless cnnectins at UCB. These include signal strength, pssible
9.3. The Scalar Product. Introduction. Prerequisites. Learning Outcomes
The Sclr Product 9.3 Introduction There re two kinds of multipliction involving vectors. The first is known s the sclr product or dot product. This is so-clled becuse when the sclr product of two vectors
Motor Calculations. Calculating Mechanical Power Requirements Torque - Speed Curves Numerical Calculation Sample Calculation Thermal Calculations
Mtr Calculatins Calculating Mechanical Pwer Requirements Trque - Speed Curves Numerical Calculatin Sample Calculatin Thermal Calculatins Calculating Mechanical Pwer Requirements Physically, pwer is defined
TaskCentre v4.5 Send Message (SMTP) Tool White Paper
TaskCentre v4.5 Send Message (SMTP) Tl White Paper Dcument Number: PD500-03-17-1_0-WP Orbis Sftware Limited 2010 Table f Cntents COPYRIGHT 1 TRADEMARKS 1 INTRODUCTION 2 Overview 2 FEATURES 2 GLOBAL CONFIGURATION
, and the number of electrons is -19. e e 1.60 10 C. The negatively charged electrons move in the direction opposite to the conventional current flow.
Prolem 1. f current of 80.0 ma exists in metl wire, how mny electrons flow pst given cross section of the wire in 10.0 min? Sketch the directions of the current nd the electrons motion. Solution: The chrge
KronoDesk Migration and Integration Guide Inflectra Corporation
/ KrnDesk Migratin and Integratin Guide Inflectra Crpratin Date: September 24th, 2015 0B Intrductin... 1 1B1. Imprting frm Micrsft Excel... 2 6B1.1. Installing the Micrsft Excel Add-In... 2 7B1.1. Cnnecting
Kepware Technologies ClientAce: Creating a Simple Windows Form Application
Kepware Technlgies ClientAce: Creating a Simple Windws Frm July, 2013 Ref. 1.03 Kepware Technlgies Table f Cntents 1. Overview... 1 1.1 Requirements... 1 2. Creating a Windws Frm... 1 2.1 Adding Cntrls
Setting up your New Staff Voicemail. EVA: Exchange Voicemail Access. IT Services
Setting up yur New Staff Vicemail EVA: Exchange Vicemail Access IT Services 1. Welcme t the Exchange 2010 Unified Messaging Instructins fr campus Staff vicemail Cventry University is rlling ut a new email
Tipsheet: Sending Out Mass Emails in ApplyYourself
GEORGETOWN GRADUATE SCHOOL Tipsheet: Sending Out Mass Emails in ApplyYurself In ApplyYurself (AY), it is very simple and easy t send a mass email t all f yur prspects, applicants, r students with applicatins
STIOffice Integration Installation, FAQ and Troubleshooting
STIOffice Integratin Installatin, FAQ and Trubleshting Installatin Steps G t the wrkstatin/server n which yu have the STIDistrict Net applicatin installed. On the STI Supprt page at http://supprt.sti-k12.cm/,
Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
MPDS Configuration Sheet Windows 2000
MPDS Cnfiguratin Sheet Windws 2000 Cnnecting t the Internet via a Mbile Packet Data service terminal Setting up a Windws 2000 mdem device The PC cmmunicates with the MPDS terminal as if it were a mdem.
Recommended Backup Plan for SQL 2000 Server Database Servers
Recmmended Backup Plan fr SQL 2000 Server Database Servers (DAISI) General Ntes STI recmmends that data backup be perfrmed n a regular basis. Transactin Lg Backup Users shuld nt truncate the Transactin
and thus, they are similar. If k = 3 then the Jordan form of both matrices is
Homework ssignment 11 Section 7. pp. 249-25 Exercise 1. Let N 1 nd N 2 be nilpotent mtrices over the field F. Prove tht N 1 nd N 2 re similr if nd only if they hve the sme miniml polynomil. Solution: If
OUTLOOK All About Archives
OUTLOOK All Abut Archives Why d we have Zantaz Enterprise Archiving Slutin (EAS)? Archiving prvides verall lng term strage EAS has been implemented t help manage the 300MB mailbx size limit in Outlk/Exchange
Helpdesk Support Tickets & Knowledgebase
Helpdesk Supprt Tickets & Knwledgebase User Guide Versin 1.0 Website: http://www.mag-extensin.cm Supprt: http://www.mag-extensin.cm/supprt Please read this user guide carefully, it will help yu eliminate
Cancer Treatments. Cancer Education Project. Overview:
Cancer Educatin Prject Cancer Treatments Overview: This series f activities is designed t increase students understanding f the variety f cancer treatments. Students als explre hw the txicity f a chemtherapy
Exercise 5 Server Configuration, Web and FTP Instructions and preparatory questions Administration of Computer Systems, Fall 2008
Exercise 5 Server Cnfiguratin, Web and FTP Instructins and preparatry questins Administratin f Cmputer Systems, Fall 2008 This dcument is available nline at: http://www.hh.se/te2003 Exercise 5 Server Cnfiguratin,
#1 #2. How should insulin be ordered? 1) Click the Add Order icon 2) Type insulin 3) Select Insulin Subcutaneous Orderset
Insulin Subcutaneus Orderset In the past, insulin sliding scales were the standard methd f cntrlling bld sugars in the hspital. Hwever, sliding scales were develped fr regular and NPH insulins. Since emulating
By offering the Study Abroad Scholarship, we hope to make your study abroad experience much more affordable!
Internatinal Educatin Prgrams is pleased t annunce a Study Abrad Schlarship fr Seattle Central Cmmunity Cllege students. The schlarship has been established by the Internatinal Educatin Prgrams divisin
Section 7-4 Translation of Axes
62 7 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY Section 7-4 Trnsltion of Aes Trnsltion of Aes Stndrd Equtions of Trnslted Conics Grphing Equtions of the Form A 2 C 2 D E F 0 Finding Equtions of Conics In the
Operational Amplifier Circuits Comparators and Positive Feedback
Operatinal Amplifier Circuits Cmparatrs and Psitive Feedback Cmparatrs: Open Lp Cnfiguratin The basic cmparatr circuit is an p-amp arranged in the pen-lp cnfiguratin as shwn n the circuit f Figure. The
Regions File Transmission
Regins File Transmissin Getting Started with FTPS Regins Bank Member FDIC Revised 022113 It s time t expect mre. Table f Cntents Getting Started with FTPS Setting Up FTPS Cnnectin in FTP Client 3 4 9 Regins
WinFlex Web Single Sign-On (EbixLife XML Format) Version: 1.5
WinFlex Web Single Sign-On (EbixLife XML Frmat) Versin: 1.5 The gal f this dcument is t specify and explre the basic peratins that are required t facilitate a vendr applicatin requesting access t the WinFlex
Firewall/Proxy Server Settings to Access Hosted Environment. For Access Control Method (also known as access lists and usually used on routers)
Firewall/Prxy Server Settings t Access Hsted Envirnment Client firewall settings in mst cases depend n whether the firewall slutin uses a Stateful Inspectin prcess r ne that is cmmnly referred t as an
Vectors 2. 1. Recap of vectors
Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms
2 DAY TRAINING THE BASICS OF PROJECT MANAGEMENT
2 DAY TRAINING THE BASICS OF PROJECT MANAGEMENT BASICS f Prject management 1.1. Objectives All participants will learn abut prject-based wrking by getting hands-n experience f a number f techniques. The
BRILL s Editorial Manager (EM) Manual for Authors Table of Contents
BRILL s Editrial Manager (EM) Manual fr Authrs Table f Cntents Intrductin... 2 1. Getting Started: Creating an Accunt... 2 2. Lgging int EM... 3 3. Changing Yur Access Cdes and Cntact Infrmatin... 3 3.1
Army DCIPS Employee Self-Report of Accomplishments Overview Revised July 2012
Army DCIPS Emplyee Self-Reprt f Accmplishments Overview Revised July 2012 Table f Cntents Self-Reprt f Accmplishments Overview... 3 Understanding the Emplyee Self-Reprt f Accmplishments... 3 Thinking Abut
ISAM TO SQL MIGRATION IN SYSPRO
118 ISAM TO SQL MIGRATION IN SYSPRO This dcument is aimed at assisting yu in the migratin frm an ISAM data structure t an SQL database. This is nt a detailed technical dcument and assumes the reader has
Power measurement in balanced 3 phase circuits and power factor improvement. 1 Power in Single Phase Circuits. Experiment no 1
Experiment no 1 Power measurement in balanced 3 phase circuits and power factor improvement 1 Power in Single Phase Circuits Let v = m cos(ωt) = cos(ωt) is the voltage applied to a R-L circuit and i =
Using the 3M Cloud Library: Kindle Fire
Chse frm nearly 3,000 different ebk titles in the Oak Park Public Library s cllectin, including the latest bestsellers, using yur Kindle Fire and the 3M Clud Library. Please nte: Installatin is a special
SoftLayer Development Lab
SftLayer Develpment Lab Phil Jacksn, Chief Evangelist, SftLayer pjacksn@sftlayer.cm @underscrephil Brad DesAulniers, Sftware Engineer, Advanced Clud Slutins IBM GTS bradd@us.ibm.cm @cb_brad Angel Tmala-Reyes,
In Australia, compulsory third party insurance (CTP) covers
COMPULSORY THIRD PARTY INSURANCE: METHODS OF MAKING EXPLICIT ALLOWANCE FOR INFLATION B. J. BRUTON and J. R. CUMPSTON Australia SUMMARY An inflatin index is essential when cnstructing claim payment mdels
In addition to assisting with the disaster planning process, it is hoped this document will also::
First Step f a Disaster Recver Analysis: Knwing What Yu Have and Hw t Get t it Ntes abut using this dcument: This free tl is ffered as a guide and starting pint. It is des nt cver all pssible business
Welcome to CNIPS Training: CACFP Claim Entry
Welcme t CNIPS Training: CACFP Claim Entry General Cmments frm SCN CACFP claiming begins with submissin f the Octber claim due by Nvember 15, 2012. Timelines/Due Dates With CNIPS, SCN will cntinue t enfrce
Syllabus Computer Science III: Data Structures and Algorithms Fall 2012 COMP 241 CRN: 13761
Syllabus Cmputer Science III: Data Structures and Algrithms Fall 2012 COMP 241 CRN: 13761 Basic Inf: Instructr: Tuesday/Thursday, 11:00am 12:15pm Buckman 222 Betsy (Williams) Sanders Office: Olendrf 419
How To Configure A GSM Modem Using HyperTerminal
Handling a cmplex wrld. Hw T Cnfigure A GSM Mdem Using HyperTerminal Intrductin This dcument prvides a brief descriptin f hw t cnfigure a GSM mdem using the Windws HyperTerminal utility. Please cnsult
THE FACULTY OF LAW AND SOCIAL SCIENCES. Department of Economics and Department of Development Studies
Appendix G REC 25 May 2011 THE FACULTY OF LAW AND SOCIAL SCIENCES Department f Ecnmics and Department f Develpment Studies PROGRAMME SPECIFICATIONS FOR THE DEGREES OF MPHIL AND PHD IN INTERNATIONAL DEVELOPMENT
Adobe Sign. Enabling Single Sign-On with SAML Reference Guide
Enabling Single Sign-On with SAML Reference Guide 2016 Adbe Systems Incrprated. All Rights Reserved. Prducts mentined in this dcument, such as the services f identity prviders Micrsft Active Directry Federatin,
ENERGY CALIBRATION IN DPPMCA AND XRS-FP REV A0 ENERGY CALIBRATION IN DPPMCA AND XRS-FP
ENERGY CALIBRATION IN DPPMCA AND XRS-FP Energy calibratin is very imprtant fr quantitative X-ray analysis. Even a small errr in the calibratin f the energy scale can have significant cnsequences: if the
NAVIPLAN PREMIUM LEARNING GUIDE. Existing insurance coverage
NAVIPLAN PREMIUM LEARNING GUIDE Existing insurance cverage Cntents Existing insurance cverage 1 Learning bjectives 1 NaviPlan planning stages 1 Client case 2 Enter yur clients existing life, disability,
David Drivers Revit One-sheets: Linked Project Positioning and shared coordinates
This paper discusses the fllwing features f Revit Building Shared Crdinates Named lcatins Publish and acquire Vs Saving lcatins Shared Crdinates and wrkset enabled files Revisin 1 (Versin 9.0) David Driver.
R o t h IRAs : How They W o r k and How to Use Them
R t h IRAs : Hw They W r k and Hw t Use Them Rth IRAs differ frm ther tax-favred retirement plans, including ther IRAs (called "traditinal IRAs"), in that they prmise cmplete tax exemptin n distributin.
Using PayPal Website Payments Pro UK with ProductCart
Using PayPal Website Payments Pr UK with PrductCart Overview... 2 Abut PayPal Website Payments Pr & Express Checkut... 2 What is Website Payments Pr?... 2 Website Payments Pr and Website Payments Standard...
Allocation to Investment Grade Corporate Bonds is it time to reconsider? KPMG Investment Advisory August 2013
Allcatin t Investment Grade Crprate Bnds is it time t recnsider? KPMG Investment Advisry August 2013 Intrductin In this paper we take a fresh lk at the investment case fr UK Investment Grade Crprate Bnds,
USF Remote Desktop Gateway
USF Remte Desktp Gateway Fr Hme Cmputers and Laptps Running Windws XP The Remte Desktp Gateway (RDG) allws access t yur USF campus cmputer frm remte lcatins while adding an additinal layer f security t
How to deploy IVE Active-Active and Active-Passive clusters
Hw t deply IVE Active-Active and Active-Passive clusters Overview Juniper Netscreen SA and SM series appliances supprt Active/Passive r Active/Active cnfiguratins acrss a LAN r a WAN t prvide high availability,
FUJITSU Software ServerView Suite ServerView PrimeCollect
User Guide - English FUJITSU Sftware ServerView Suite ServerView PrimeCllect Editin February 2015 Cmments Suggestins Crrectins The User Dcumentatin Department wuld like t knw yur pinin f this manual. Yur