Question Bank No: 2

1. A capacitor of 2 μF draws a current of 4 mA when connected across an a.c. of 300 Hz. The voltage drop across capacitor is

 a)1.06 V
 b)1.5 V
 c)2.1 V
 d)6.6 V

2. The device that does not work on the principle of mutual induction is

 a)induction coil
 b)motor
 c)tesla coil
 d)transformer

3. A 750 Hz, 20 volt source is connected to a resistance of 100 ohm, an inductance of 0.1803 H and a capacitance of 10μF, all in series. The time in which the resistance (thermal capacity = 2 Joule/oC) will get heated by 10oC is

 a)348 sec
 b)328 sec
 c)248 sec
 d)228 sec

4. A resistor, an inductor and a capacitor are connected in series to an a.c. power supply. When measured with the help of an a.c. voltmeter, the voltage across them are found to be 80 V, 30 V and 90 V respectively. What is the supply voltage ?

 a)200 V
 b)100 V
 c)140 V
 d)2002V

5. A coil has 2000 turns and area of 70cm2. The magnetic field perpendicular to the plane of the coil is 0.3 wb/m2 and takes 0.1 sec to rotate through 180o. The value of induced e.m.f. will be

 a)8.4 volt
 b)84 volt
 c)42 volt
 d)4.2 volt

6. An alternatinf current source of frequency 100 Hz is joined to a combination of a resistance, a capacitance and a coil in series. The potential difference across the coil, the reistance and the capacitor is 46, 8 and 40 volt, respectively. The electomotive force of alternating current source in volt is

 a)94
 b)14
 c)10
 d)46

7. A dynamo works on the principle of

 a)electrostatic induction
 b)optical induction
 c)electron magnetic induction
 d)none of these

8. A certain choke coil of negligible resistance draws a current of 8 A, when connected to a supply of 100 volts, at 50 Hz. A certain non- inductive resistance, under the same conditions carries a current of 10 amp. If the two are transferred to a supply system working at 150 volts, at 40 Hz, the total current they will take if joined in series is

 a)1.06 amp.
 b)10.6 amp.
 c)0.106 amp.
 d)none of these

9. In an A.C. circuit the potential V and the current I are given respectively by
V = 100 sin (100t) volt
and I = 100 sin (100t + π/3) milliampere
The power dissipation in the circuit will be

 a)10.4 watt
 b)10 watt
 c)2.5 watt
 d)5 watt

10. In a step down transformer the turns ratio is 3 : 1. A cell of e.m.f. 1.5 volt is connected across the primary. The coltage across secondary is

 a)1.5 V
 b)4.5 V
 c)zero
 d)0.5 V

11. In a region of uniform magnetic induction B = 102tesla, a circular coil of radius 30 cm and resistnace π2 ohm is rotated about an axis which is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 r.p.m. the amplitude of the alternating current induced in the coil

 a)4π2mA
 b)30 mA
 c)6 mA
 d)200 mA

12. The power factor of a pure resistive and pure inductive circuit have a ratio of

 a)1
 b)zero
 c)
 d)finite positive number

13. In a step-up transformer the turn ration is 1 : 2 A leclanche cell (e.m.f. = 1.5 V) is connected across the primary. The voltage developed in the secondary would be

 a)3.0 volt
 b)0.7 volt
 c)1.5 volt
 d)zero

14. In an A.C. circuit, the instantaneous values of e.m.f. and current are E = 200 sin 314t volts and I = sin (314t+π/3) amphere. The average power consumed in watts is

 a)200
 b)100
 c)0
 d)50

15. A wire of fixed length l can be formed into many circular loops of varying radii r depending on the number of turns n. The loop so formed is carrying a current and is placed normally in a uniform magnetic field B. In order that the torque on the circular loop formed be maximum; the number of turns n must equal

 a)1
 b)4
 c)8
 d)

16. When current changes from +2 A to 2A in 0.05 sec an emf of 8 V is induced in a coil. The coefficient of self inductance of the coil is

 a)0.2H
 b)0.4H
 c)0.1H
 d)0.8H

17. An alternating emf, E (in volt) = 200 2 sin 100 t is connected to 1μF capacitor through an a.c. ammeter. The current in the ammeter is

 a)20 mA
 b)80 mA
 c)10 mA
 d)40 mA

18. Two inductors each of inductance L are connected in series with opposite magnetic flux. What is the resultant inductance?

 a)3 L
 b)2 L
 c)L
 d)zero

19. In an a.c circuit current and voltage are given by
I = 100 sin (314t+π3)
E = 100 sin 314 t volt.
The power dissipated in the circuit is

 a)100 watt
 b)2500 watt
 c)500 watt
 d)104 watt

20. The instantaneous current and voltage in an a.c. circuit is given by
I = 4 sin ωt
E = 150 cos [ωt+π3]
respectively. then the phase difference between voltage and current in the circuit is given by

 a)5π/6
 b)2π/3
 c)7π/6
 d)π/3

21. A 50 Hz a.c current of crest value 1 A flows through the primary of transformer. If the mutual inductance between the primary and secondary be 1.5 H. The crest voltage induced in the secondary is

 a)300V
 b)150V
 c)73 V
 d)230V

22. A copper disc of radius 0.1 m rotated about its centre with 10 revolutions per sec. in a uniform magnetic field of 0.1 Tesla with its plane perpendicular to the field. The emf induced between the centre and the circular edge of the disc

 a)20π volts
 b)π2 volts
 c)π×102 volt
 d)2π×101 volt

23. A current from A to B is increasing in magnitude. What is the direction of induced current in the loop?
elecmagind-q2

 a)Clockwise
 b)Anticlockwise
 c)No current is induced
 d)None of these

24. If the number of turns in the coil and length doubled then coefficient of self induction of the coil

 a)remains unchanged
 b)become 4 times
 c)become 2 times
 d)become half

25. If N is the number of turns in a coil the value of self inductance varies as

 a)N
 b)·N
 c)N2
 d)N1

26. An inductor may store energy in

 a)its electric field
 b)its coils
 c)its magnetic field
 d)both electric and magnetic fields

27. The back emf in a DC motor is maximum when

 a)the motor has picked up maximum speed
 b)the motor has just started moving
 c)the speed of the motor is still on the increase
 d)none of the above

28. The total charge induced in a conducting loop when it is moved in a magnetic field depends upon

 a)rate of change of magnetic flux
 b)total change in magnetic flux
 c)initial magnetic flux
 d)final magnetic flux

29. Two different coils have self inductance 8mH and 2mH. The current in both coils are increased at the same constant rate. The ratio of the induced emfs in the coils is

 a)4 : 1
 b)1 : 4
 c)1 : 2
 d)2 : 1

30. The magnetic flux linked with a loop placed with its plane perpendicular to the magnetic field is given by φ=6t2+7t+1 where φ is in milli weber. How much emf will be induced at t =2seconds

 a)31mv
 b)30mv
 c)39mv
 d)14mv

31. A car fitted with a long vertical antenna moves along a horizontal road. The induced emf across the antenna is maximum when it moves along

 a)east-west direction
 b)north-south direction
 c)any direction
 d)none of the above

32. A coil of resistance 5Ω and inductance 4H is connected to a 10V battery. The energy stored in the coil

 a)0.8 J
 b)8 J
 c)16 J
 d)4 J

33. Which one of the following graphs represents growth of current i with time i in an LR circuit

 a)phemi17a
 b)phemi17b
 c)phemi17c
 d)phemi17d

34. L, C, R represent the physical quatities inductance, capacitance and resistance. The combination which has the dimensions of frequency is

 a)RLC
 b)1RC
 c)LCR
 d)CL

35. Two coils of self inductance L1and L2 are placed close together so that effective flux in one coil is completely linked with the other. IfM is the mutual inductance between them, then

 a)M = L1+L2
 b)M = L1+L22
 c)M = (L1+L2)2
 d)M = L1L2

36. A coil of wire is held with its plane horizontal. A small bar magnet is dropped vertically down through it. The magnet experiences

 a)constant acceleration equal to g
 b)constant acceleration greater than g
 c)constant acceleration less than g
 d)non uniform acceleration less than g

37. An all metal aeroplane dives down vertically at 300 km/h at a place when the horizontal intensity of the earth magnetic field is 0.4×104T. If the wing span is 30m the induced emf between the tips of the wings is

 a)1.2 V
 b)1.2mV
 c)0.12V
 d)12V

38. The energy of self inductance L carrying a current i resides in

 a)the thermal energy to the current
 b)battery that supplied current
 c)the magnetic field produced by L
 d)electric field produced by L

39. The energy required to establish a current of 4A in an inductance 200mH is

 a)0.40J
 b)1.60 J
 c)1600J
 d)0.16 J

40. A staight conductor of length 0.4m is moved with a speed of 0.7 m/s perpendicular to a magnetic field of intensity 0.9 T. Induced emf across the conductor is

 a)2.52 V
 b)25.2V
 c)1.26V
 d)5.04V

41. The direction of the induced emf is given by

 a)Lenz's law
 b)Faraday's law
 c)Maxwell's law
 d)none of the above

42. The instrument which works on the principle of mutual induction is

 a)galvano meter
 b)ammeter
 c)potentiometer
 d)transformer

43. A charged particle experiences the maximum force when

 a)it is at rest
 b)it is moving parallel to the field
 c)it is moving perpendicular to the field
 d)It is moving at an angle 45 with the direction of the field

44. What is the self inductance of a coil in which an induced emf of 2V is self up when the current is changed at the rate of 4As1.

 a)0.5 mH
 b)0.05 H
 c)2H
 d)0.5H

45. A coil having number of turns N and area A is rotated in a uniform magnetic field B with angular velocity ω. The maximum emf induced in the coil

 a)NAω2
 b)NABω
 c)NABω
 d)NAB

46. A uniform metal rod of length l is moved with a velocity v parallel to the magnetic field B. The emf induced across its ends

 a)Blv
 b)zero
 c)Blv2
 d)B2lv

47. Lenz's law is a consequence of law of conservation of

 a)energy only
 b)charge only
 c)momentum only
 d)mass

48. The law of elecro magnetic induction has been used in the construction of

 a)electric generator
 b)electric motor
 c)galvano meter
 d)Ammeter

49. A wire moves across a magnetic field. The emf induced across the wire depends on

 a)the field of magnetic flux
 b)length of the wire
 c)orientation of the wire with respect to the magnetic field vector
 d)depends on a b and c

50. When a fluresent tube is used in an ac circuit a

 a)choke is connected in series with it
 b)a resistance is connected in series with it
 c)a choke is connected in parallel with it
 d)none of the above