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Electromagnetic Induction — JEE Main & Advanced Physics PYQs

521 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

List-I contains four conducting loops lying in the XY plane, as shown in the figures. The loops are rotating about Z axis passing through the point O with time period T in clockwis

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2

A 30 cm long solenoid has 10 turns per cm and area of 5 cm ^2 . The current through the solenoid coil varies from 2 A to 4 A in 3.14 s. The e.m.f. induced in the coil is 10⁻⁵ V. Th

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3

A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B = 0.4 (300t) Tesla. The normal to the plane of loop makes an angle of 60° with the field.

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4

An inductor of inductance 10 mH having resistance of 100 , is connected to battery of E.M.F. 1.0 V through a switch as shown in the figure below. After switch is closed, the ratio

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5

A metal rod of length L rotates about one end at origin with a uniform angular velocity . The magnetic field radially falls off as B(r) = B₀ e^ - r ; being a positive constant. The

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6

A circular loop of radius 20 cm and resistance 2 is placed in a time varying magnetic field B = (2t^2 + 2t + 3) T . At t = 0 , for the plane of the loop being perpendicular to the

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7

In the given circuit below inductance values of L₁ , L₂ and L₃ are same. The magnetic energy stored in the entire circuit is (U_t) and that stored in the L₂ inductor is (U_l) . U_t

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8

A circular current loop of radius R is placed inside square loop of side length L(L >> R) such that they are co-planar and their centers coincide. The permeability of free space is

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9

When a coil is placed in a time dependent magnetic field the power dissipated in it is P . The number of turns, area of the coil and radius of the coil wire are N , A and r respect

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10

Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length, carries a current I=10 ( t ) A , where =1000 rad . / s . A circular conducting loop (B) of r

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11

A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is converted into a square loop in 0.5 s. The EMF indu

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12

A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity ( g=10 ~m / s ² ) through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to t

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13

A simple pendulum made of mass 10 g and a metallic wire of length 10 cm is suspended vertically in a uniform magnetic field of 2 T. The magnetic field direction is perpendicular to

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14

Figure shows the circuit that contains three resistances ( 9 each) and two inductors (4 mH each). The reading of ammeter at the moment switch K is turned ON, is _ _ _ _ A.

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15

A conducting circular loop is rotated about its diameter at a constant angular speed of 100 rad / s in a magnetic field of 0.5 T perpendicular to the axis of rotation. When the loo

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16

Three identical coils C₁, C₂ and C₃ are closely placed such that they share a common axis. C₂ is exactly midway. C₁ carries current I in anti-clockwise direction while C₃ carries c

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17

X P Q Y is a vertical smooth long loop having a total resistance R where P X is parallel to Q Y and separation between them is l . A constant magnetic field B perpendicular to the

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18

Inductance of a coil with 10⁴ turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10 . The energy density in the inductor when the current reaches

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19

A conducting circular loop of area 1.0 ~m ² is placed perpendicular to a magnetic field which varies as B= (100 t) Tesla. If the resistance of the loop is 100 , then the average th

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20

A 1 m long metal rod AB completes the circuit as shown in figure. The area of circuit is perpendicular to the magnetic field of 0.10 T. If the resistance of the total circuit is 2

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21

A conducting square loop initially lies in the X Z plane with its lower edge hinged along the X -axis. Only in the region y 0 , there is a time dependent magnetic field pointing al

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22

A conducting square loop of side L , mass M and resistance R is moving in the X Y plane with its edges parallel to the X and Y axes. The region y 0 has a uniform magnetic field, B

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23

Conductor wire ABCDE with each arm 10 ~cm in length is placed in magnetic field of 1 2 Tesla, perpendicular to its plane. When conductor is pulled towards right with constant veloc

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24

A coil of area A and N turns is rotating with angular velocity ( ) in a uniform magnetic field ( B ) about an axis perpendicular to ( B ). Magnetic flux ( ) and induced ( emf ) acr

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25

Consider ( I ₁ ) and ( I ₂ ) are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If ( L ₁= ) self inductance of coil (1, M ₁₂= ) mutual inductance of c

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26

A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10 rad s ⁻¹ about an axis through i

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27

A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time t=0 with a c

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28

Regarding self-inductance: A. The self-inductance of the coil depends on its geometry. B. Self-inductance does not depend on the permeability of the medium. C. Self-induced e.m.f.

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29

In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of 8 ~A / s . At an instant when R is 12 , the value of th

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30

A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnate field, the

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31

A region in the form of an equilateral triangle (in x-y plane) of height L has a uniform magnetic field B pointing in the +z -direction. A conducting loop PQR , in the form of an e

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32

A square loop of side 15 ~cm being moved towards right at a constant speed of 2 cm / s as shown in figure. The front edge enters the 50 ~cm wide magnetic field at t= 0 . The value

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33

When a coil is connected across a 20 ~V dc supply, it draws a current of 5 ~A . When it is connected across 20 ~V , 50 ~Hz ac supply, it draws a current of 4 ~A . The self inductan

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34

A square loop PQRS having 10 turns, area 3.6 10⁻³ ~m ^2 and resistance 100 is slowly and uniformly being pulled out of a uniform magnetic field of magnitude B =0.5 ~T as shown. Wor

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35

In a coil, the current changes from -2 ~A to +2 ~A in 0.2 ~s and induces an emf of 0.1 ~V . The self inductance of the coil is :

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36

The current in an inductor is given by I =(3 t +8) where t is in second. The magnitude of induced emf produced in the inductor is 12 mV . The self-inductance of the inductor _____

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37

Two conducting circular loops A and B are placed in the same plane with their centers coinciding as shown in figure. The mutual inductance between them is :

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38

A rod of length 60 ~cm rotates with a uniform angular velocity 20 rad s ⁻¹ about its perpendicular bisector, in a uniform magnetic filed 0.5 T . The direction of magnetic field is

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39

A coil of 200 turns and area 0 . 20 m 2 is rotated at half a revolution per second and is placed in uniform magnetic field of 0 . 01 T perpendicular to axis of rotation of the coil

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40

A rectangular loop of sides 12 cm and 5 cm , with its sides parallel to the x -axis and y -axis respectively moves with a velocity of 5 cm s - 1 in the positive x axis direction, i

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41

The magnetic flux ϕ (in weber) linked with a closed circuit of resistance 8 Ω varies with time (in seconds) as ϕ = 5 t 2 − 36 t + 1 . The induced current in the circuit at t = 2 s

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42

A coil is placed perpendicular to a magnetic field of 5000 T . When the field is changed to 3000 T in 2 s , an induced emf of 22 V is produced in the coil. If the diameter of the c

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43

A small square loop of wire of side l is placed inside a large square loop of wire of side L L = l 2 . The loops are coplanar and their centers coincide. The value of the mutual in

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44

A horizontal straight wire 5 m long extending from east to west falling freely at right angle to horizontal component of earth's magnetic field 0 . 60 × 10 - 4 Wb m - 2 . The insta

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45

A square loop of side 10 cm and resistance 0 . 7 Ω is placed vertically in the east-west plane. A uniform magnetic field of 0 . 20 T is set up across the plane in the north-east di

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46

A rectangular loop of length 2 . 5 m and width 2 m is placed at 60 ° to a magnetic field of 4 T . The loop is removed from the field in 10 sec . The average emf induced in the loop

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47

Two coils have mutual inductance 0 . 002 H . The current changes in the first coil according to the relation i = i 0 s i n ω t , where i 0 = 5 A and ω = 50 π rad s - 1 . The maximu

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48

A rectangular conducting loop of length 4 cm and width 2 cm is in the x y -plane, as shown in the figure. It is being moved away from a thin and long conducting wire along the dire

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49

A thin conducting rod M N of mass 20 gm , length 25 cm and resistance 10 Ω is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is

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50

A 12 V battery connected to a coil of resistance 6 Ω through a switch, drives a constant current in the circuit. The switch is opened in 1 ms . The emf induced across the coi

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51

A 20 cm long metallic rod is rotated with 210 rpm about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring.

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52

An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area 24   cm 2 . The two ends of the wire are connected to a resistor.

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53

The source of time varying magnetic field may be (A) a permanent magnet (B) an electric field changing linearly with time (C) direct current (D) a decelerating charge particle (E)

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54

In the given figure, an inductor and resistor are connected in series with a battery of emf E volt. E a 2 b J s - 1 represents the maximum rate at which the energy is stored in the

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55

A conducting circular loop is placed in a uniform magnetic field of 0 . 4 T with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constan

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56

A metallic cube of side 15   cm moving along y -axis at a uniform velocity of 2   m   s - 1 . In a region of uniform magnetic field of magnitude 0 . 5   T direc

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57

A coil has an inductance of 2 H and resistance of 4 Ω . A 10 V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equili

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58

The magnetic field B crossing normally a square metallic plate of area 4 m 2 is changing with time as shown in figure. The magnitude of induced emf in the plate during t = 2 s to t

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59

A square loop of side 2 . 0 cm is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude 2 . 5 A and angular frequen

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60

The energy of an electromagnetic wave contained in a small volume oscillates with

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61

A 1   m long metal rod X Y completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0 . 15   T . If the r

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62

An emf of 0 . 08 V is induced in a metal rod of length 10 cm held normal to a uniform magnetic field of 0 . 4 T , when move with a velocity of:

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63

Two concentric circular coils with radii 1 cm and 1000 cm and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The mutual inductance of this ar

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64

The induced emf can be produced in a coil by A. moving the coil with uniform speed inside uniform magnetic field B. moving the coil with non uniform speed inside uniform magnetic f

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65

For the plane electromagnetic wave given by E = E 0 sin ( ω t – k x ) and B = B 0 sin ( ω t - k x ) , the ratio of average electric energy density to average magnet

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66

A square shaped coil of area 70 cm 2 having 600 turns rotates in a magnetic field of 0 . 4 Wb m – 2 , about an axis which is parallel to one of the side of the coil and perpe

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67

In an ac generator, a rectangular coil of 100 turns each having area 14 × 10 – 2 m 2 is rotated at 360 rev min - 1 about an axis perpendicular to a uniform magnetic fiel

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68

As per the given figure, if d I d t = - 1   A   s - 1 , then the value of V AB at this instant will be ______ V .

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69

Find the mutual inductance in the arrangement, when a small circular loop of wire of radius R is placed inside a large square loop of wire of side L ( L ≫ R ) . The loops are

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70

A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B = 0 . 8 T . When released the radiu

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71

A wire of length 1 m moving with velocity 8 m s - 1 at right angles to a magnetic field of 2 T . The magnitude of induced emf, between the ends of wire will be ___________.

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72

A metallic rod of length L is rotated with an angular speed of ω normal to a uniform magnetic field B about an axis passing through one end of rod as shown in figure. The indu

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73

A conducting loop of radius 10 π cm is placed perpendicular to a uniform magnetic field of 0 . 5 T . The magnetic field is decreased to zero in 0 . 5 s at a steady rate. The i

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74

For the given circuit the current through battery of 6 V just after closing the switch ' S ' will be _____ A . ​​​​​​​

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75

A conducting circular loop is placed in X - Y plane in presence of magnetic field B → = 3 t 3 j ^ + 3 t 2 k ^ in SI unit. If the radius of the loop is 1 m , the induced emf i

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76

In a coil of resistance 8 Ω , the magnetic flux due to an external magnetic field varies with time as ϕ = 2 3 9 - t 2 . The value of total heat produced in the coil, till

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77

In a series L R circuit X L = R and power factor of the circuit is P 1 . When capacitor with capacitance C such that X L = X C is put in series, the power factor becomes P 2 . The

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78

Magnetic flux (in weber) in a closed circuit of resistance 20 Ω varies with time t s as ϕ = 8 t 2 - 9 t + 5 . The magnitude of the induced current at t = 0 . 25 s will be

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79

A small square loop of wire of side l is placed inside a large square loop of wire L L ≫ l . Both loops are coplanar and their centres coincide at point O as shown in figure.

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80

A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius of wire doubled, the electrical power dissipated due to the c

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81

Two coils of self inductance L 1 and L 2 are connected in series combination having mutual inductance of the coils as M . The equivalent self inductance of the combination will be

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82

A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s - 1 . If the horizontal component

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83

The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ = 5 t 3 + 4 t 2 + 2 t - 5 Weber. If the resistance of the coil is 5 ohm , th

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84

A 10 Ω , 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after switch is opened current becomes zero in 100 μ s . The average

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85

The current in a coil of self inductance L = 2 . 0   H is increasing according to the law i = 2 sin t 2 . Find the amount of energy spent (in J ) during the period when the cu

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86

A circular coil of 1000 turns each with area 1 m 2 is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0 . 07

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87

Paragraph A special metal S conducts electricity without any resistance. A closed wire loop, made of S , does not allow any change in flux through itself by inducing a suitable cur

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88

A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails a

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89

For the given circuit the current i through the battery when the key in closed and the steady state has been reached is

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90

A square loop of side 20 cm and resistance 1 Ω is moved towards right with a constant speed v 0 . The right arm of the loop is in a uniform magnetic field of 5 T . The field i

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91

A coil is placed in a magnetic field B → as shown below : A current is induced in the coil because B → is :

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92

A small square loop of side a and one turn is placed inside a larger square loop of side b and one turn ( b ≫ a ) . The two loops are coplanar with their centres coinciding.

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93

A constant magnetic field of 1 T is applied in the x > 0 region. A metallic circular ring of radius 1 m is moving with a constant velocity of 1 m s - 1 along the x -axis. At t

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94

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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95

A circular coil of radius 8 . 0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s - 1 in a uniform horizontal magnetic field of 3 . 0 ×

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96

In the given figure the magnetic flux through the loop increases according to the relation ϕ B ( t ) = 10 t 2 + 20 t , where ϕ B is in milliwebers and t is in seconds. Th

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97

Consider an electrical circuit containing a two way switch S . Initially S is open and then T 1 is connected to T 2 . As the current in R = 6 Ω attains a maximum value of stea

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98

A circular conducting coil of radius 1   m is being heated by the change of magnetic field B → passing perpendicular to the plane in which the coil is laid. The resistan

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99

The arm P Q of a rectangular conductor is moving from x = 0 to x = 2 b outwards and then inwards from x = 2 b to x = 0 as shown in the figure. A uniform magnetic field perpendicula

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100

The magnetic field in a region is given by B → = B 0 x a k ^ . A square loop of side d is placed with its edges along the x and y axes. The loop is moved with a constant velo

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101

A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure Two resistors R 1 and R 2 are connected across the ends of the rails. There is

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102

A coil of inductance 2   H having negligible resistance is connected to a source of supply whose voltage is given by V = 3 t volt. (where t is in second). If the voltage is ap

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103

The inductors of two L R circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistances, mutual-inductance and appl

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104

A light disc made of aluminum (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a poi

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105

An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown in the figu

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106

Two concentric circular coils, C 1 and C 2 , are placed in the X Y plane. C 1 has 500 turns, and a radius of 1 cm . C 2 has 200 turns and radius of 20 cm . C 2 carries a time depen

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107

A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm . The

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108

An inductance coil has a reactance of 100 Ω . When an AC signal of frequency 1000 Hz is applied to the coil, the applied voltage leads the current by 45 ° . The self-indu

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109

A circular coil of radius 10   cm is placed in a uniform magnetic field of 3 . 0 × 10 - 5   T with its plane perpendicular to the field initially. It is rotated at c

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110

In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes uniformly from 0.25 A to 0 in a duration of 0.025 m s . The se

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111

At time t = 0 magnetic field of 1000 G a u s s is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to

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112

A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0 , the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s a

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113

Consider a circular coil of wire carrying constant current I , forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding

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114

A loop A B C D E F A of straight edges has six corner points A 0 , 0 , 0 , B 5 , 0 , 0 , C 5 , 5 , 0 , D 0 , 5 , 0 , E 0 , 5 , 5 and F 0 , 0 , 5 . The magnetic field in this region

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115

A coil of inductive reactance 3 1 Ω has a resistance of 8 Ω . It is placed in series with a condenser of capacitive reactance 2 5 Ω . The combination is connected to an ac source o

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116

A solenoid has 2000 turns wound over a length of 0 .30 m . The area of its cross section is 1.2 × 10 - 3 m 2 . Around its central section, a coil of 300 turns is wound. If an initi

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117

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

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118

A simple pendulum with a bob of mass m and a conducting wire of length L , swings under gravity with an angular amplitude θ . If the horizontal component of the earth's magnetic fi

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119

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 &#

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120

A conducting ring of radius r and resistance R is placed in a region of uniform time varying magnetic field B which is perpendicular to the plane of the ring. If the magnetic field

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