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Electromagnetic Induction — NEET UG Physics PYQs

290 previous year questions from Electromagnetic Induction with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A square loop of area A is moving out of the uniform magnetic field (B) with constant velocity v . The EMF (e) induced in the loop is

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2

The value of mutual inductance of two coils is 6 mH. The current in one of the coil changes from 7 A to 2 A in 0.2 second, so that e.m.f. is induced in the other coil. If the resis

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3

Two identical inductors are connected in parallel. If the parallel combination stores 40 J of magnetic field energy when a total current of 2 A is passed through it, the value of t

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4

Two coils have mutual inductance of 0.004 H . The current changes in the first coil according to the relation i = i₀ t , where i₀ = 6 A and = 100 rad/s . The maximum value of emf i

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5

The coefficient of coupling is 0.8 . If the mutual inductance is 8 H , then the values of self-inductances L₁ and L₂ of the coil are

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6

The self inductance L of a solenoid of length l and area of cross-section A, with a fixed number of turns N increases as

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7

A wire of length 1 m is moving at a speed of 2 m/s perpendicular to its length in a homogeneous magnetic field of 0.5 T . If the ends of the wire are joined to a circuit of resista

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8

Semicircular wire of radius R is rotated in a uniform magnetic field about an axis passing through its ends. If the frequency of rotation is f, the amplitude of induced e.m.f. in t

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9

A wire of length l in the form of a square loop is in a plane normal to magnetic field B. If the length of the wire is decreasing at the rate dl dt , the e.m.f. induced is e₁ . If

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10

A very small circular loop of radius 'a' is initially (at t = 0 ) coplanar and concentric with a much larger fixed circular loop of radius 'b'. A constant current I flows in the la

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11

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ the speed of ring is V and emf develope

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12

A magnetic field induction is changing in magnitude at a constant rate dB dt . The plane of a circular loop of radius r of copper wire (mass m and radius a ) is placed perpendicula

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13

When four inductors of the same inductances L are connected in series, and I is the current passing through the circuit. The energy stored in the circuit is

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14

The self-inductance L of a toroid having circular cross-section of radius r and major radius R is ( r R )

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15

In an a.c. generator, a rectangular coil of 1000 turns each having area 10⁻² m ^2 is rotated at 180 r.p.m. about an axis perpendicular to a uniform magnetic field of magnitude 2 T.

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16

Two conducting circular loops of radii R₁ and R₂ are placed in same plane with their centers coinciding. If R₁ > R₂ and current I is flowing through the circular loop of radius R₁

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17

A conducting rod AB is in contact with metal rails AC and BD, which are 0.25 m apart in a uniform magnetic field of induction 0.4 T acting perpendicular to the plane of the figure.

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18

A square loop (side a ) rotates in a uniform magnetic field B perpendicular to the rotation axis. What is the maximum induced EMF ( e_ max ) and the first angle (between magnetic f

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19

Average e.m.f. of 2.4 V is induced in a coil when a current in it is changed from 10 A in one direction to 10 A in opposite direction in 0.4 second. The self inductance of the coil

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20

A metal rod of length ' l ' rotates about one of its ends in a plane perpendicular to a magnetic field of induction 'B'. If the emf induced between the ends of the rod is 'e', then

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21

Two coils P and S have a mutual inductance of 5 10⁻³ H . If the current in the primary (P) is I = 10 (100 t) , then the maximum value of e.m.f. induced in S is (in volt)

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22

The magnetic flux through a coil of resistance R changes by an amount in the time t . The total quantity of electric charge ( Q ) induced is

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23

Identify the CORRECT statement

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24

The north pole of the magnet is brought near a metallic ring as shown in figure. The direction of induced current in the ring (if looked from upside) will be

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25

A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B as shown in the figure. The potential difference developed

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26

A metallic rod of length 'l' is tied to a string of length '2l' and made to rotate with angular speed '2 ' on a horizontal table with one end of the string fixed. If there exists a

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27

The current in a primary coil of a step-down transformer having N_p turns is given by i = i₀ t . The secondary coil of having N_s turns is wound over the primary coil. The emf indu

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28

The variation of induced emf (E) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as North pole is situated at lef

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29

Two coils P and Q are kept near each other. When no current flows through coil P and currrent in coil Q increases at the rate of 10 A/s, the e.m.f. in coil P is 12 mV. When coil Q

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30

If ' N ' is the number of turns in a circular coil, the value of its self-inductance varies as

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31

Consider a long solenoid of length l and radius r . If n is the number of turns per unit length and ₀ is the permeability of free space, the inductance of the solenoid is :

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32

Two identical inductors are connected in two different configurations P and Q, where a time varying current I(t) is flowing, as shown in the figure. The induced emf between points

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33

A conducting loop of finite resistance lies on the x - y plane. There is a constant magnetic field in the z direction. The area of the loop varies with time t , as A=A₀(1+ t) in ap

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34

A rectangular wire loop of sides 8 cm and 3 cm with a small cut, is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the plane of the loop. Th

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35

AB is a part of an electrical circuit (see figure). The potential difference " V _ A - V _ B ", at the instant when current i =2 ~A and is increasing at a rate of 1 amp / second is

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36

Let us consider two solenoids A and B , made from same magnetic material of relative permeability _r and equal area of cross-section. Length of A is twice that of B and the number

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37

In the above diagram, a strong bar magnet is moving towards solenoid-2 from solenoid-1. The direction of induced current in solenoid-1 and that in solenoid-2, respectively, are thr

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38

The magnetic energy stored in an inductor of inductance 4   μH carrying a current of 2   A is:

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39

An emf is generated by an ac generator having 100 turn coil, of loop area 1 ~m ^2 . The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field

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40

The net magnetic flux through any closed surface is:

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41

A square loop of side 1   m and resistance 1   Ω is placed in a magnetic field of 0 . 5   T . If the plane of loop is perpendicular to the direction of magnetic

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42

A big circular coil of 1000 turns and average radius 10   m is rotating about its horizontal diameter at 2   rad   s - 1 . If the vertical component of earth's m

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43

The magnetic flux linked to a circular coil of radius R is: =2 t^3+4 t^2+2 t+5 ~Wb The magnitude of induced emf in the coil at t=5 ~s is:

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44

Two conducting circular loops of radii R 1 and R 2 are placed in the same plane with their centres coinciding. If R 1 ≫ R 2 , the mutual inductance M between them will be dir

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45

The magnetic flux linked with a coil (in Wb ) is given by the equation ϕ = 5 t 2 + 3 t + 16 . The magnitude of induced emf in the coil at the fourth second will be:

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46

A wheel with 20 metallic spokes each 1   m long is rotated with a speed of 120   rpm in a plane perpendicular to a magnetic field of 0 . 4   G . The induced emf betw

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47

For a toroid N=500 , radius =40 ~cm , and area of cross section =10 ~cm ^2 . Find inductance.

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48

Assertion: A metallic surface is moved in and moved out in a magnetic field, then emf is induced in it. Reason : Eddy current will be produced in a metallic surface moving in and o

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49

A uniform coil of self-inductance 1.8 10⁻⁴ H and resistance 6 is broken up into two identical coils. These two coils are then connected in parallel across a 12 ~V battery. The circ

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50

For a battery the electromotive force is 1.5 V . Terminal voltage is 1.25 V . Power supplied to external resistance is 2.5 W . Find the internal resistance of battery.

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51

Lenz law is based on principle of conservation of

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52

The variation of EMF with time for four types of generators are shown in the figures. Which amongst them can be called AC? (a) (b) (c) (d)

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53

A 800 turn coil of the effective area 0.05    m 2 is kept perpendicular to the magnetic field 5 × 10 - 5    T . When the plane of the coil is rotated b

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54

A cycle wheel of radius 0.5 ~m is rotated with constant angular velocity of 10 rad / s in a region of magnetic field of 0.1 ~T which is perpendicular to the plane of the wheel. The

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55

In which of the following devices, the eddy current effect is not used?

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56

Two identical circular coils A and B are kept on a horizontal tube side by side without touching each other. If the current in the coil A increases with time, in response, the coil

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57

A circular ring of diameter 20 ~cm has a resistance of 0.01 . The charge that will flow through the ring if it is turned from a position perpendicular to a uniform magnetic field o

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58

Assertion : Only a change in magnetic flux will maintain an induced current in the coil. Reason : The presence of large magnetic flux through a coil maintains a current in the coil

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59

The radius of the circular conducting loop shown in figure is R . Magnetic field is decreasing at a constant rate . Resistance per unit length of the loop is . Then current in wire

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60

As shown in figure, two vertical conducting rails separated by distance 1.0 ~m are placed parallel to z -axis. At z=0 , a capacitor of 0.15 ~F is connected between the rails and a

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61

For MRI, a patient is slowly pushed in a time of 10 ~s within the coils of the magnet where magnetic field is B=2.0 ~T . If the patient's trunk is 0.8 ~m in circumference, the indu

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62

A circular coil of radius 10 ~cm , 500 turns and resistance 2 is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about

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63

A long solenoid of diameter 0 . 1   m has 2 × 10 4 turns per meter. At the centre of the solenoid, a coil of 100 turns and radius 0 . 01   m is placed with its axis

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64

In the given figure what will be the coefficient of mutual inductance

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65

A uniform magnetic field is restricted within a region of radius, r . The magnetic field changes with time at a rate, d B → d t . Loop one of radius R > r encloses the re

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66

A long solenoid has 1000 turns. When a current of 4 A flows through it the magnetic flux linked with each turn of the solenoid is 4 × 10 - 3  Wb. The self-inductance of t

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67

The self inductance of a coil having 400 turns is 10 mH . The magnetic flux through the cross section of the coil corresponding to current 2 ~mA is

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68

Assertion : An emf is induced in a closed loop when magnetic flux is varied. The induced electric field E is not a conservative field. Reason : The line integral E d l around the c

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69

Mutual inductance of two coils can be increased by

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70

The magnetic flux through each turn of a coil having 200 turns is given as (t^2-2 t ) 10⁻³ Wb , where t is in second. The emf induced in the coil at t=3 ~s is

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71

A conducting square frame of side a and a long straight wire carrying current I are located in the same plane as shown in the figure. The frame moves to the right with a constant v

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72

Two conducting circular loops of radii R₁ and R₂ are placed in the same plane with their centres coinciding. If R₁>R₂ , the mutual inductance M between them will be directly propor

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73

A thin semicircular conducting ring P Q R of radius r is falling with its plane vertical in a horizontal magnetic field B , as shown in figure. The potential difference developed a

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74

Which of the following is the best method toreduce eddy currents ?

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75

Two solenoids of equal number of turns having their length and the radii in the same ratio 1: 2 . The ratio of their self-inductance will be

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76

In 0.2 s, the current in a coil increases from 2.0 A to 3.0 A. If inductance of coil is 60 mH, then induced current in external resistance of 3 will be

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77

A current of 2.5 ~A flows through a coil of inductance 5 H . The magnetic flux linked with the coil is:

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78

A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced emf is

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79

The thermo emf of a hypothetical thermocouple varies with the temperature of hot junction as E=a +b ^2 in volts, where the ratio a b is 700^ C . If the cold junction is kept at 0^

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80

In a coil of resistance 10 , the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through t

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81

A coil of resistance 400 is placed in a magnetic field. If the magnetic flux ( Wb ) linked with the coil varies with time t (sec) as =50 t^2+4 The current in the coil at t=2 ~s is

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82

Magnetic energy per unit volume is represented by

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83

Lenz law is consistent with conservation of

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84

Mutual inductance M between two concentric coils of radii 1 ~m and 2 ~m is

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85

Induced emf in the coil depends upon

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86

The current i in a coil varies with time as shown in the figure. The variation of induced emf with time would be

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87

A circular coil with a cross-sectional area of 4 ~cm ^2 has 10 turns. It is placed at the center of a long solenoid that has 15 turns / cm and a crosssectional area of 10 ~cm ^2 ,

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88

In 0.1 s , the current in a coil increases from 1 A to 1.5A. If inductance of coil is 60 mH , then induced current in external resistance of 3 will be

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89

The impedance of a circuit, when a resistance R and an inductor of inductance L are connected in series in an AC circuit of frequency f , is

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90

A thin ring of radius R metre has charge q coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of f revolution/s. The value of magnetic induct

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91

A conducting circular loop is placed in a uniform magnetic field, B=0.025 ~T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate o

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92

A coil of wire of a certain radius has 100 turns and a self inductance of 15 mH . The self inductance of a second similar coil of 500 turns will be

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93

A coil of inductance 300 mH and resistance 2 is connected to a source of voltage 2 V . The current reaches half of its steady state value in

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94

A rectangular, a square, a circular and an elliptical loop, all in the (x-y) plane, are moving out of a uniform magnetic field with a constant velocity, v = vi. The magnetic field

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95

A conducting circular loop is placed in a uniform magnetic field 0.04 ~T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 ~mm / s .

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96

A conducting circular loop is placed in a uniform magnetic field 0.04 ~T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mms ⁻¹ . T

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97

A rectangular, a square, a circular and an elliptical loop, all in the (x-y) plane, are moving out of a uniform magnetic field with a constant velocity, V =v i . The magnetic field

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98

Assertion : Inductance coils are usually made of thick copper wire. Reason : Induced current is more in wire having less resistance.

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99

A long solenoid has 500 turns. When a current of 2 ~A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 10⁻³ ~Wb . The self-inductance of

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100

A circular disc of radius 0.2 meter is placed in a uniform magnetic field of induction linked with the disc is

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101

A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 10⁻³ b . The selfinductance o

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102

A circular disc of radius 0.2 ~m is placed in a uniform magnetic field of induction 1 ( W b m^2 ) in such a way that its axis makes an angle of 60^ with B . The magnetic flux linke

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103

Faraday law of electrolysis indirectly shows

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104

With the decrease of current in the primary coil from 2 amperes to zero value in (0.01 ~s ) the emf generated in the secondary coil is 1000 volts. The mutual inductance of the two

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105

Two coils of self inductance 2 mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these

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106

A conducting ring of radius 1 meter is placed in a uniform magnetic field B of 0.01 tesla oscillating with frequency 100 ~Hz with its plane at right angle to B . What will be the i

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107

A magnet is made to oscillate with a particular frequency, passing through a coil as shown in figure. The time variation of the magnitude of e.m.f. generated across the coil during

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108

If the current 3 A flowing in the primary coil is made zero in 0.1 sec, the emf induced in the secondary coil is 1.5 volt. The mutual inductance between the coils is

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109

A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B=0.5 gauss), the emf induced in c

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110

A coil of 40 henry inductance is connected in series with a resistance of 8 ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit

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111

The magnetic flux through a circuit of resistance R changes by an amount in a time t . Then the total quantity of electric charge Q that passes any point in the circuit during the

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112

In an ideal parallel L C circuit, the capacitor is charged by connecting it to a d.c. source which is then disconnected. The current in the circuit

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113

Assertion : The possibility of an electric bulb fusing is higher at the time of switching on and off. Reason : Inductive effects produce a surge at the time of switch-off and switc

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114

The coefficient of mutual inductance, when magnetic flux changes by 2 10⁻² ~Wb and current changes by 0.01 ~A is

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115

Assertion : The quantity L / R possesses dimension of time. Reason : To reduce the rate of increase of current through a solenoid, we should increase the time constant (L / R) .

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116

Assertion : Faraday's laws are consequences of conservation of energy. Reason : In a purely resistive A.C. circuit, the current lags behind the e.m.f. in phase.

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117

At a place earth's magnetic field, 5 10^5 ~Wb / m ^2 is acting perpendicular to a coil of radius R=5 ~cm . If ₀ / 4 =10⁻⁷ , then how much current is induced in circular loop?

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118

If electron is moving from A to B in wire A B , then current induced in the coil is

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119

A small piece of metal wire is dragged across the gap between the pole pieces of a magnet in 0.4 sec . If magnetic flux between the pole pieces is known to be 8 10⁻⁴ ~Wb , then ind

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120

A bar magnet is passing through a conducting loop of radius R with velocity v . The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the

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