# Revision Calcs. 1. The flux produced by a magnet is 10mWb. Determine the flux density if the area of the pole is 250 mm 2

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1 EMA Revision Calcs Miller College Revision Calcs Revision Calcs 1. The flux produced by a magnet is 10mWb. Determine the flux density if the area of the pole is 250 mm 2 2. For the magnet in the previous question, determine the flux density away from the pole if the flux now spreads out to an area of 600 mm Determine the flux of a magnet if the flux density at the poles is 2T, and the area of the poles is 300mm 2. *** 4. A coil of 120 turns has a current of 250mA flowing through it. Determine the magneto motive force produced by the coil. 5. If the power supply has a magnetomotive force of 25At and a current of 120mA, how many turns must the coil? 6. How much current must flow in a coil of 1000 turns to produce a magneto motive force of 125At? *** 7. A coil of 150 turns has a current of 3.5A flowing through it. Determine the magneto motive force produced by the coil. 8. Determine the flux produced by a coil of 1000 turns when 1.5 amperes flows through it. The reluctance of the magnetic circuit is determined to be At/Wb. 9. Determine the current that must flow through a coil of 1500 turns to produce a flux of 15mWb. The reluctance of the magnetic circuit is determined to be 5 000At/Wb. 10. Determine the flux density at the poles of an electromagnet which produces a flux of 15mWb if the area of the poles is 200mm A magnetic circuit has a core area of 250mm 2 and a flux density of 2T. If the reluctance of the core is At/Wb, determine the current flowing through the coil of 600 turns. 12. An electromagnet has a core length of 400mm, is wound with 2000 turns and carries a coil current of 200mA. Determine the magnetising force of the magnetic circuit. 13. Determine the current flowing in a coil of 600 turns which produces a magnetising force of 2000 At/m in a core 150mm long.

2 14. A magnetic core is 300mm long with a cross sectional area of 50mm 2 and has a permeability of 125.7x10-3. Determine the reluctance of the core *** 15. a magnetic field with a flux density of 1.5 Tesla. Determine the emf induced in the conductor. 16. Determine the velocity of a conductor of 200mm length which is moving at a uniform speed through a magnetic field of 1.25 Tesla flux density at right angles to produce a voltage of 1.5V 17. Determine the flux density of a magnetic field if a conductor 25mm long cuts through the flux at right angles with a velocity of 15m/s to produce a voltage of 6V. 18. A coil of 150 turns is lined by a flux of 300mWb. If the flux is reduced to 100mWb in 100mS, determine the voltage induced in the coil. ** 19. Determine the inductance of a 100m length of straight 2.5mm 2 single cored conductor. Assume that the number of turns equals 1, and the permeability of air is 12.57x10-7 H/m 20. An aired cored coil of 400 turns has a cross sectional area of 1000mm 2 and a length of 125.7mm. If the permeability of free air is 12.57x10-7 H/m, determine the the inductance of the coil. 21. A coil of 354 turns and a length of 350mm has a cross sectional area of 50mm 2. Determine the inductance of the coil with: an air core (µ = 12.57x10-7 H/m) (b) an iron core (µ r = 180) 22. An inductor with 600 turns has a flux linking it of 25mWb. If this flux is reduced to zero in 5 milliseconds, determine the voltage induced in the coil 23. Determine the flux change required to generate 240V in an inductor of 150 turns if the flux changes in 10 milliseconds. 24. Determine the inductance of a coil of 120 turns when a reduction of the coil current from 2.0A to 0.4A produces a reduction of the core flux from 25mWb to 9mWb. 25. An inductor of 1.5H has a flux change of 20mWb when the current changes by 5A. For these conditions, determine the number of coil turns of the inductor. 26. A galvanometer with a resistance of 17.5 ohms has a full scale deflection current of 2.4 milli amperes. Determine:

3 (b) (c) (d) the full scale deflection voltage. the resistance of the shunt required to use the meter as a 100mA ammeter. the resistance of the multiplier if the meter is used as a 100V voltmeter. the sensitivity of the voltmeter. 27. A moving iron meter movement requires 3200 ampere turns to indicate full scale deflection. If the meter is to be used as a 5 ampere AC ammeter how many turns are required on the current coil? 28. An ammeter scaled 0 to 150mA is used with the appropriate shunt to measure a full scale current of 25 amperes. If the scale reading is 96 milliamperes what is the current flowing in the circuit? 29. A galvanometer with a full scale deflection current of 2 milliamperes has a full scale deflection voltage of 6 millivolts. Determine: (b) (c) (d) the resistance of the coil in the galvanometer. the full scale deflection current of the galvanometer when connected with a 0.125Ω shunt. the current in the circuit when the meter indicates 1.8 milliamperes. the current in the shunt when the meter indicates 1.8 milliamperes. 30. Calculate the sensitivity in ohms per volt for moving-coil instruments having the following full scale deflection values. 50 µa. (b) 500 µa 31. A single conductor of 150mm length is rotated through a field flux of 0.8T at a velocity of 10m/s. Determine the emf induced in the conductor. 32. Determine the flux density of the magnetic field required to generate 12.6V in a conductor with an effective length of 2m which moves through the magnetic field at 90 0 with a uniform velocity of 10.5m/s. 33. A generator is wound with 6 series connected coils, each wound with 40 turns. If the length of the armature is 200mm, the density of the flux is 1.25 Tesla and the armature rotates with a velocity of 2m/s, determine the generated output voltage of the generator. 34. A separately excited generator has an effective field flux of 0.02T, and is spins at 400 rpm. If the machine constant is 12, determine the generated voltage. **

4 35. A separately excited generator has an effective flux of 8mWb and is operated at a speed of 292 rpm. If the machine constant is 12, determine the: (b) generated voltage; no-load terminal voltage. 36. Determine the field flux required to produce a no-load voltage of 240V in a separately excited generator rotating at 600rpm with a machine constant of Determine the speed a prime mover must drive a generator under no load to produce a terminal voltage of 300V. The generator has an effective flux of 20mWb and a machine constant of A generator has an armature resistance of 0.15Ω and a full load resistance of 25Ω. If the open circuit voltage is 250V, determine the terminal voltage at full load. 39. A separately excited generator has an effective field flux of 0.02Wb, a machine constant of 12 and spins at 400 rpm. If the generator has an armature circuit resistance of 0.15Ω and an armature current of 20A, determine the load voltage for this condition. 40. The generator shown in figure 25 has a machine constant of 10, and effective flux of 25mWb and is driven at 1000rpm. Determine the:** Field current; + (b) Generated voltage; R A 0.12 Ω (c) Armature current; 20 V R SH 180 Ω + (d) Terminal voltage E g (e) Armature circuit voltage drop. - figure A 28V shunt connected motor draws a line current of 50A. Determine the back emf for these load conditions of the armature resistance is Ω, and the shunt field resistance is 56Ω. I F I A R L 15 Ω If the back emf in question 17 decreases to 25V, determine the current drawn from the supply. 43. A 240V series connected motor has a line current of 40A. If the series field resistance is 0.4Ω and the armature resistance is 0.6Ω, determine the back emf generated within the armature. 44. A 250V compound motor has a shunt field resistance of 100Ω, a series field resistance of 0.5Ω and an armature resistance of 0.8Ω. If the back emf is 216V, determine the current drawn from the supply;

5 (b) If the load CURRENT increases to 45A, determine the back emf now generated within the armature ** 45. A 325V compound motor takes 25A from the supply. If the shunt field resistance is 108 Ω, the armature resistance is 0.4Ω and the series field resistance 0.8Ω, calculate the: shunt field current (b) shunt field copper loss 46. A 28V shunt connected motor has a full load current of 50A. If the resistance of the shunt field is 56Ω and the armature circuit resistance is 0.08Ω, determine the (β) armature current at start with no starting resistance employed value of starting resistance required to limit the starting current to 150% of full load armature current. 47. A 150V series motor has a full load current of 75A. If the armature circuit resistance is 0.25Ω, determine the: (β) Starting current drawn from the supply with no starting resistance employed; The value of starting resistance required to limit starting current to 175% of full load current. 48. The diagram of figure 1 represents a transformer with input (primary) and output (secondary) turns as shown. The coils are linked by a common core flux of 25mWb, which is reduced to zero in 5mS. Determine the voltage induced in both coils. Figure 22 N 1 = 600 N 2 = For the circuit of figure 2, determine the coil current for the conditions shown. Determine the current I=? N=2400 turns Φ=250 mwb Core: length = 150mm C.S.A.= 250mm 2 Permeability = 100x10-3

6

7 EMA Revision Calcs Miller College Revision Calcs Revision Calcs Ans 1. 40T T micro webers 4. 30Atl turns mA At mWb mA T mA At/Wb mA At/Wb V m/s T V

8 x10-15 H mH µH, 4.05mH 22. 3kV mWb H mV, Ω,41.65kΩ,416.7Ω/V turns A Ω,50mA, 45mA, 43.2mA kΩ/V, 2kΩ/V V T V V** V, 28V mWb rpm V V ma, 250V, A, 248V,2V

9 V A V A, V 45. 3A,975W A, 297mΩ A, 0.893Ω) V,250V mA

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