Lecture 11 Inductance and Capacitance
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1 Lecure Inducance and apacance ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
2 Goals. Fnd he curren olage for a capacance or nducance gen he olage curren as a funcon of me.. ompue he capacances of parallel-plae capacors. ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
3 Goals. ompue he sored energes n capacances or nducances. 4. Descrbe ypcal physcal consrucon of capacors and nducors and denfy parasc effecs. 5. Fnd he olages across muually coupled nducances n erms of he currens. ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
4 apacor Energy s sored n he elecrc feld ha exss beween he plaes when he capacor s charged. q ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
5 q q apacance q d q d ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
6 apacance Does D curren flow hrough a capacor? No! Only A curren flows hrough a capacor! ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
7 Deermnng urren for a apacance Gen Volage Fnd gen : q 6 d d 6 d d ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
8 Deermnng urren for a apacance Gen Volage From o μs: from o 4 μs: from 4 o 5 μs: d V 6 5x V 6 d x s s d 6 6 x5x 5A d d d d V 7 V 6 d x s s d 6 7 d A ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
9 Deermnng Volage for a apacance Gen urren 4.5sn q ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
10 Deermnng Volage for a apacance Gen urren q d q.5sn.5 x.5x d cos 4 [ ] 4 cos ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
![5x 4 4 4 d cos 4 [ ] 4 cos ELETRIAL](/docs-images/52/12161351/images/page_10.jpg "ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh")
11 Deermnng Volage for a apacance Gen urren q q [ ] 4 5 cos 77 ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
12 Sored Energy gy d d p q q d d d d d p w q q ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
13 urren, Power and Energy for a apacance for 5 55 d μf for x d μf 5 5 x ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
14 urren, Power and Energy for a apacance for p ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
15 urren, Power and Energy for a apacance w 5 for ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
16 Exercse. The curren hrough a. μf capacor s shown below. Fnd he charge, olage, power and sored energy as funcons of me and plo hem o scale ersus me. ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
17 harge, Volage, Power and Sored Energy q d q x x d x ms x d x x x d x 4 x 6 ms 4 ms ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
18 harge, Volage, Power and Sored Energy q q. μf 4 4 ms 4 ms 4ms ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
19 harge, Volage, Power and Sored Energy p 4x ms ms 4ms ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
20 harge, Volage, Power and Sored Energy w p d ms.5 x 4 ms 4 ms ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
21 apacances n Parallel eq dv d dv d dv d dv d dv d dv d ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. dv d eq dv d
22 apacances n Seres Q d d d d d d d d Q eq eq ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. eq
23 apacance of he Parallel- Plae apacor A ε A WL d ε 8.85 F m ε ε ε r ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
24 apacance of he Parallel-Plae apacor A WL cmcm x mx m 4 d. mm x m A F.m ε 8.854x 77x m 4 d x m.m F.77nF ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
25 Desgn a μf apacor 6 A WL μf x F ε rε ε rε d d W cm.m 6 d 5μm 5x m ε r.4 polyeser 6 6 d x F5 x m L ε ε W x F / m.m r Impraccal! 4.9 m ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
26 ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
27 Parasc Elemens R s Ressy of he capacor plaes L S nducance due o curren flow no and ou of he capacor R P Leakage ressance of he delecrc ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
28 Parasc Elemens A s charged up o V, s dscharged The oal energy w oal : 6 w F V 5 mj w w oal w w 5mJ ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
29 Parasc Elemens A he swch s closed, and he charge q on he capacor plaes redsrbues: 6 q x FV q q oal q q μ μ ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
30 Parasc Elemens eq μf eq q eq μ μf 5V 6 w eq F 5 V.5 mj 6 w eq F5V.5mJ w oal w w. 5mJ Where dd he mssng energy go? ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
31 Inducance ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
32 Joseph Henry Wres Henry: "I may howeer menon one fac whch I hae no seen noced n any work...when a small baery s moderaely exced... f a wre hry or fory fee long be used nsead of he shor wre, hough no spark wll be percepble when he connecon s made, ye when s broken by drawng one end of he wre from s cup of mercury, a d spark s produced." ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
33 Inducance The polary of he olage s such as o oppose he change n curren Lenz slaw. ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
34 Inducance d L d L d p L d d d d p d L d Ld L w ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
35 Inducor urren wh onsan Appled Volage d L H V d 5 A Wha happens f we open he swch a sec? d L d ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
36 Waer Hammer ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
37 Fnd he urren gen he Volage for d L 6 x V μs 7.5x d 6 L 5x 4 s H for 4μs d. A L.A ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
38 Seres Inducances d d d d eq d d d d L L L L L L L L eq L L L d d ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
39 Parallel Inducances d d d d d d L eq d L L L d L d L d L ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. L L L L eq
40 Equalen Inducance q 5H 5H 5H L eq. 5H 5 H 5H H L eq H H 5H L eq H.5H. 5H ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
41 R S Ressance of connecng wres P apacance beween he col wndngs R P Ressance of he col wndngs ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
42 Muual Inducance Felds are adng Felds are opposng Magnec flux produced by one col lnks he oher col ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc.
Lecture 40 Induction. Review Inductors Self-induction RL circuits Energy stored in a Magnetic Field
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