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JEE Electromagnetic Induction PYQs with Solutions

521 previous year questions from Electromagnetic Induction (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

521 questionsPhysics2002–2026Answers + solutions

About Electromagnetic Induction PYQs

Electromagnetic Induction has 521 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (151), NTA Abhyas JEE Main (42) and JEE Advanced (27), spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 20
  • 2025: 10
  • 2024: 17
  • 2023: 26
  • 2022: 13
  • 2021: 16
  • 2020: 54
  • 2019: 12
  • 2018: 5
  • 2017: 4
  • 2016: 2
  • 2015: 1

Electromagnetic Induction questions with solutions

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

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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 α× 10^ -5

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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\,Ω 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

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5

A metal rod of length L rotates about one end at origin with a uniform angular velocity ω . The magnetic field radially falls off as B(r) = B_0 e^ -λ r ; λ being a positive

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6

A circular loop of radius 20 cm and resistance 2\ Ω 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

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7

In the given circuit below inductance values of L_1 , L_2 and L_3 are same. The magnetic energy stored in the entire circuit is (U_t) and that stored in the L_2 inductor is (U_l)

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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

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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

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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 (ω t) A , where ω=1000 rad. / s . A circular conducting loop (B) of

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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

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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

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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

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14

Figure shows the circuit that contains three resistances ( 9 Ω 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

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16

Three identical coils C_ 1 , C_ 2 and C_ 3 are closely placed such that they share a common axis. C_ 2 is exactly midway. C_ 1 carries current I in anti-clockwise direction while

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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 10^ 4 turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10 Ω . The energy density in the inductor when the current

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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 Ω , then the

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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

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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

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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

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24

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

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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

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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 π rad s^ -1 about an axis

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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

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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 Ω , the value of

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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

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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

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34

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

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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

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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 . 01T perpendicular to axis of rotation of the

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40

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

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41

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

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42

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

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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

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44

A horizontal straight wire 5m 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

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45

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

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46

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

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47

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

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48

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

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49

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

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50

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

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51

A 20cm long metallic rod is rotated with 210rpm 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. The

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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 2b J s ^ - 1 represents the maximum rate at which the energy is stored in

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55

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

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56

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

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57

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

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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 = 2s to

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59

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

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60

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

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61

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

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62

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

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63

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

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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

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65

For the plane electromagnetic wave given by E = E _ 0 sin ( – kx ) and B = B _ 0 sin ( - kx ) , the ratio of average electric energy density to average magnetic energy density is

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66

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

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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 360rev min ^ - 1 about an axis perpendicular to a uniform magnetic field of

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68

As per the given figure, if (dI)/(dt) = - 1A 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 . 8T . When released the

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71

A wire of length 1m moving with velocity 8m s ^ - 1 at right angles to a magnetic field of 2T . 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 induced

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73

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

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74

For the given circuit the current through battery of 6V 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 1m , the induced emf

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76

In a coil of resistance 8Ω , 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 LR 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

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78

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

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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. The

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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

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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

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82

A metallic conductor of length 1m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5rad 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 + 2t - 5) Weber. If the resistance of the coil is 5ohm

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84

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

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85

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

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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 .

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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

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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

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

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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. If a

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93

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

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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

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95

A circular coil of radius 8 . 0cm and 20 turns is rotated about its vertical diameter with an angular speed of 50rad s ^ - 1 in a uniform horizontal magnetic field of 3 . 0 × 10 ^

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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 + 20t , where ϕ _ B is in milliwebers and t is in seconds. The

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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 = 6Ω attains a maximum value of

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98

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

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99

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

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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

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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.

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102

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

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103

The inductors of two LR 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

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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

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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

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106

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

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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 4mm and a total length of 30cm . The

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108

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

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109

A circular coil of radius 10cm 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 constant angular

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110

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

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111

At time t = 0 magnetic field of 1000Gauss 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 10s

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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 ABCDEFA 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 is → B = (3 ^

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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

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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

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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

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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

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119

A conducting circular loop is placed in a uniform magnetic field 0. 04T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2mms^ - 1 .

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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

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