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JEE Magnetic Effects of Current PYQs with Solutions

586 previous year questions from Magnetic Effects of Current (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

586 questionsPhysics2006–2026Answers + solutions

About Magnetic Effects of Current PYQs

Magnetic Effects of Current has 586 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (173) and JEE Advanced (47), spanning 2006 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: 24
  • 2024: 34
  • 2023: 35
  • 2022: 36
  • 2021: 26
  • 2020: 10
  • 2019: 1
  • 2018: 3
  • 2017: 5
  • 2015: 3
  • 2014: 4

Magnetic Effects of Current questions with solutions

1

A hollow, right circular cone of base radius R and height h , with its tip at the origin is rotating about the Z -axis with an angular velocity ω , as shown in the figure. The

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2

In a vacuum chamber, a particle of charge 1\ and mass 1 mg is projected with a velocity ( i + 2 j ) ms ^ -1 from the XZ plane at time t = 0 in an electric field of 1 i Vm ^ -1 .

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3

A current carrying circular loop of radius 2 cm with unit normal n = k + i 2 is placed in a magnetic field, B = B_0(3 i +2 k ) . If B_0 = 4× 10^ -3 T and current I=100 2 A, the

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4

A 5 mg particle carrying a charge of 5π× 10^ -6 C is moving with velocity of (3 i +2 k )× 10^ -2 m/s in a region having magnetic field B = 0.1 k Wb/m ^2 . It moves a distance of α

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5

A current of 30 A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of 8 cm. The magnetic field at the mid point between the

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6

A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm carrying a current of 2 A. The magnetic energy stored inside the cube is α × 10^ -14 J. The

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7

The charged particle moving in a uniform magnetic field of (3 i + 2 j ) T has an acceleration (4 i - (x)/(2) j ) m/s ^2 . The value of x is __________.

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8

A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed in a uniform magnetic field of magnitude 0.4 T. The axis of the coil makes an angle of

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9

An insulated wire is wound so that it forms a flat coil with N = 200 turns. The radius of the innermost turn is r_1 = 3 cm, and of the outermost turn r_2 = 6 cm. If 20 mA current

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10

A particle having charge 10^ -9 C moving in x - y plane in fields of 0.4 j N/C and 4 × 10^ -3 k T experiences a force of (4 i + 2 j ) × 10^ -10 N. The velocity of the particle at

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11

Two identical long current carrying wires are bent into the shapes shown in the following figures. If the magnitude of magnetic fields at the centres P and Q of a semicircular arc

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12

1\,μ C charge moving with velocity v = ( i - 2 j + 3 k ) m/s in the region of magnetic field B = (2 i + 3 j - 5 k ) T. The magnitude of force acting on it is α × 10^ -6 N. The

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13

A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is : A. maximum

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14

Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced by 15 cm length of wire Q is \_\_\_\_ . ( μ_ o =4 π × 10^

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15

The magnetic field at the centre of a current carrying circular loop of radius R is 16 μ ~T . The magnetic field at a distance x= 3 R on its axis from the centre is \_\_\_\_ μ T .

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16

Two identical circular loops P and Q each of radius r are lying in parallel planes such that they have common axis. The current through P and Q are I and 4 I respectively in

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17

A short bar magnet placed with its axis at 30^ ∘ with an external field of 800 Gauss, experiences a torque of 0.016 ~N. m . The work done in moving it from most stable to most

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18

The current passing through a conducting loop in the form of equilateral triangle of side 4 3 ~cm is 2 A. The magnetic field at its centroid is α × 10^ -5 ~T . The value of α is

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19

An infinitely long straight wire carrying current I is bent in a planer shape as shown in the diagram. The radius of the circular part is r . The magnetic field at the centre O of

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20

A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. If g is acceleration

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21

A conducting solid sphere of radius R and mass M carries a charge Q . The sphere is rotating about an axis passing through its center with a uniform angular speed ω . The ratio of

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22

Figure shows a current carrying square loop ABCD of edge length is ' a ' lying in a plane. If the resistance of the A B C part is r and that of A D C part is 2 r , then the

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23

A particle of charge q , mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius( r). Which of the following

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24

Uniform magnetic fields of different strengths (B_1. and B_2), both normal to the plane of the paper exist as shown in the figure. A charged particle of mass m and charge q , at

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25

A particle of charge 1.6 μ C and mass 16 μ ~g is present in a strong magnetic field of 6.28 T. The particle is then fired perpendicular to magnetic field. The time required for

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26

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A: . If oxygen ion (O^ -2 ) and Hydrogen ion (H^ + ) enter normal

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27

A magnetic dipole experiences a torque of 80 3 ~N ~m when placed in uniform magnetic field in such a way that dipole moment makes angle of 60^ ∘ with magnetic field. The potential

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28

A 4.0 cm long straight wire carrying a current of 8A is placed perpendicular to an uniform magnetic field of strength 0.15 T. The magnetic force on the wire is ______ mN.

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29

A loop ABCDA , carrying current I=12 ~A , is placed in a plane, consists of two semi-circular segments of radius R_1=6 π ~m and R_2=4 π ~m . The magnitude of the resultant

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30

In a moving coil galvanometer, two moving coils M_1 and M_2 have the following particulars : aligned & R_1=5 Ω, ~N_1=15, ~A_1=3.6 × 10^ -3 ~m^2, ~B_1=0.25 ~T & R_2=7 Ω, ~N_2=21

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31

Let B_1 be the magnitude of magnetic field at center of a circular coil of radius R carrying current I . Let B_2 be the magnitude of magnetic field at an axial distance ' x ' from

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32

The magnetic field inside a 200 turns solenoid of radius 10 cm is 2.9 × 10^ -4 Tesla . If the solenoid carries a current of 0.29 A , then the length of the solenoid is ________ π

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33

Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly distributed across this cross-section. The distances

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34

An infinite wire has a circular bend of radius a, and carrying a current I as shown in figure. The magnitude of magnetic field at the origin O of the arc is given by :

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35

Consider a long thin conducting wire carrying a uniform current I. A particle having mass " M " and charge " q " is released at a distance " a " from the wire with a speed v_0

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36

A long straight wire of a circular cross-section with radius ' a ' carries a steady current I . The current I is uniformly distributed across this cross-section. The plot of

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37

N equally spaced charges each of value q , are placed on a circle of radius R . The circle rotates about its axis with an angular velocity ω as shown in the figure. A bigger

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38

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A electron in a certain region of uniform magnetic field

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39

A tightly wound long solenoid carries a current of 1.5 A . An electron is executing uniform circular motion inside the solenoid with a time period of 75 ns . The number of turns

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40

A current of 5A exists in a square loop of side 1 2 ~m . Then the magnitude of the magnetic field B at the centre of the square loop will be p × 10^ -6 ~T . where, value of p is

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41

Consider a moving coil galvanomenter (MCG): A. The torsional constant in moving coil galvanometer has dimentions [ML^2 ~T^ -2 ] B. Increasing the current sensitivity may not

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42

An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then the radius of the electronic orbit in the first

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43

A proton is moving undeflected in a region of crossed electric and magnetic fields at a constant speed of 2 × 10^5 ~ms^ -1 . When the electric field is switched off, the proton

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44

Two long parallel wires X and Y , separated by a distance of 6 cm , carry currents of 5A and 4A, respectively, in opposite directions as shown in the figure. Magnitude of the

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45

A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass m and radius r and

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46

A positive, singly ionized atom of mass number A_ M is accelerated from rest by the voltage 192 ~V . Thereafter, it enters a rectangular region of width w with magnetic field B

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47

An infinitely long wire, located on the z -axis, carries a current I along the +z -direction and produces the magnetic field B . The magnitude of the line integral ∫ B · d l along

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48

A proton and a deutron ( q=+e, m=2.0 u) having same kinetic energies enter a region of uniform magnetic field B , moving perpendicular to B . The ratio of the radius r_d of

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49

A straight magnetic strip has a magnetic moment of 44 Am^2 . If the strip is bent in a semicircular shape, its magnetic moment will be _______ Am^2 . (given π=(22)/(7) )

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50

Given below are two statements : Statement (I) : When currents vary with time, Newton's third law is valid only if momentum carried by the electromagnetic field is taken into

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51

A square loop of edge length 2 ~m carrying current of 2 ~A is placed with its edges parallel to the x y axis. A magnetic field is passing through the x-y plane and expressed as B

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52

A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at (a)/(2) and 2 a from

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53

An electron with kinetic energy 5 eV enters a region of uniform magnetic field of 3 μ T perpendicular to its direction. An electric field E is applied perpendicular to the

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54

A coil having 100 turns, area of 5 × 10^ -3 ~m^2 , carrying current of 1 ~mA is placed in uniform magnetic field of 0.20 ~T such a way that plane of coil is perpendicular to the

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55

An element Δ l=Δ x i is placed at the origin and carries a large current I=10 ~A . The magnetic field on the y -axis at a distance of 0.5 ~m from the elements Δ x of 1 ~cm length

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56

A circular coil having 200 turns, 2.5 × 10^ -4 ~m^2 area and carrying 100 μ A current is placed in a uniform magnetic field of 1T. Initially the magnetic dipole moment ( M ) was

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57

The electrostatic force ( F_1 ) and magnetic force ( F _2) acting on a charge q moving with velocity v can be written :

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58

A solenoid of length 0.5 ~m has a radius of 1 ~cm and is made up of ' m ' number of turns. It carries a current of 5 ~A . If the magnitude of the magnetic field inside the

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59

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :

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60

A 2 A current carrying straight metal wire of resistance 1 Ω , resistivity 2 × 10^ -6 Ω m , area of cross-section 10 ~mm^2 and mass 500 ~g is suspended horizontally in mid air by

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61

Two parallel long current carrying wire separated by a distance 2 r are shown in the figure. The ratio of magnetic field at A to the magnetic field produced at C is (x)/(7) . The

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62

An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :

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63

The magnetic field existing in a region is given by B =0.2(1+2 x) k ~T . A square loop of edge 50 ~cm carrying 0.5 A current is placed in x-y plane with its edges parallel to the

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64

A moving coil galvanometer has 100 turns and each turn has an area of 2 . 0 cm ^ 2 . The magnetic field produced by the magnet is 0 . 01T and the deflection in the coil is 0 . 05

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65

A regular polygon of 6 sides is formed by bending a wire of length 4π meter. If an electric current of 4π 3 A is flowing through the sides of the polygon, the magnetic field at

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66

Two circular coils P and Q of 100 turns each have same radius of . The currents in P and R are 1A and 2A respectively. P and Q are placed with their planes mutually perpendicular

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67

A uniform magnetic field of 2 × 10 ^ - 3 T acts along positive Y-direction. A rectangular loop of sides 20cm and 10cm with current of 5A is in Y-Z plane. The current is in

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68

An electron moves through a uniform magnetic field → B = B _ 0 ^ i + 2 B _ 0 ^ j T . At a particular instant of time, the velocity of electron is → u = 3 ^ i + 5 ^ j m s ^ - 1 .

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69

A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged in a perpendicular magnetic field B = B _ 0 ^ j as shown in

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70

The current of 5A flows in a square loop of sides 1m is placed in air. The magnetic field at the centre of the loop is X 2 × 10 ^ - 7 T . The value of X is _________.

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71

The horizontal component of earth's magnetic field at a place is 3 . 5 × 10 ^ - 5 T . A very long straight conductor carrying current of 2 A in the direction from South east to

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72

Two insulated circular loop A and B radius a carrying a current of I in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will

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73

A charge of 4 . 0 is moving with a velocity of 4 . 0 × 10 ^ 6 m s ^ - 1 along the positive y -axis under a magnetic field B of strength ( 2 ^ k ) T . The force acting on the

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74

Two particles X and Y having equal charges are being accelerated through the same potential difference. Thereafter, they enter normally in a region of uniform magnetic field and

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75

The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of 20cm from its center is 1 . 5 × 10 ^ - 5 Tm . The magnetic moment of the dipole is

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76

The magnetic field at the centre of a wire loop formed by two semicircular wires of radii R _ 1 = 2 and R _ 2 = 4 carrying current I = 4A as per figure given below is α × 10 ^ - 7

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77

Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is 5 . 0cm . The magnitude of the magnetic field at a

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78

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If → E and → B represent the electric and magnetic fields

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79

An electron in a hydrogen atom revolves around its nucleus with a speed of 6 . 76 × 10 ^ 6 m s ^ – 1 in an orbit of radius 0 . 52Å . The magnetic field produced at the nucleus of

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80

An electron is moving along the positive x-axis. If uniform magnetic field is applied parallel to the negative z-axis, then A.The electron will experience magnetic force along

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81

A straight wire AB of mass 40g and length 50cm is suspended by a pair of flexible leads in uniform magnetic field of magnitude 0 . 40T as shown in the figure. The magnitude of the

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82

An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid. (A) The electron will experience magnetic force along the axis of the

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83

A straight wire carrying a current of 14A is bent into a semicircular arc of radius 2 . 2cm as shown in the figure. The magnetic field produced by the current at the centre O of

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84

Given below are two statements: Statement I: If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double. Statement II

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85

The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is x : 1 . The value of x

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86

A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B . The path of the charge particle will be

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87

The magnetic intensity at the centre of a long current carrying solenoid is found to be 1 . 6 × 10 ^ 3 A m ^ - 1 . If the number of turns is 8 per cm , then the current flowing

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88

A proton with a kinetic energy of 2 . 0eV moves into a region of uniform magnetic field of magnitude (π)/(2) × 10 ^ - 3 T . The angle between the direction of magnetic field and

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89

A long straight wire of circular cross-section (radius a ) is carrying steady current I . The current I is uniformly distributed across this cross-section. The magnetic field is

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90

Two identical circular wires of radius 20cm and carrying current 2 A are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular

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91

A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed: A. By changing the

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92

As shown in the figure, a long straight conductor with semicircular arc of radius (π)/(10)m is carrying current I = 3A . The magnitude of the magnetic field. at the center O of

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93

Find the magnetic field at the point P in figure. The curved portion is a semicircle connected to two long straight wires.

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94

A charge particle of 2μ C accelerated by a potential difference of 100V enters a region of uniform magnetic field of magnitude 4mT at right angle to the direction of field. The

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95

A long conducting wire having a current I flowing through it, is bent into a circular coil of N turns. Then it is bent into a circular coil of n turns. The magnetic field is

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96

A bar magnet with a magnetic moment 5 . 0A m ^ 2 is placed in parallel position relative to a magnetic field of 0 . 4T . The amount of required work done in turning the magnet

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97

A rod with circular cross-section area 2 cm ^ 2 and length 40cm is wound uniformly with 400 turns of an insulated wire. If a current of 0 . 4A flows in the wire windings, the

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98

As shown in the figure, a current of 2A flowing in an equilateral triangle of side 4 3 cm . The magnetic field at the centroid O of the triangle is : (Neglect the effect of

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99

A current carrying rectangular loop PQRS is made of uniform wire. The length PR = QS = 5cmandPQ = RS = 100cm . If ammeter current reading changes from I to 2I , the ratio of

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100

A massless square loop, of wire of resistance 10Ω , supporting a mass of 1g , hangs vertically with one of its sides in a uniform magnetic field of 10 ^ 3 G , directed outwards in

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101

The magnetic moments associated with two closely wound circular coils A and B of radius r _ A = 10cmand r _ B = 20cm respectively are equal if: (Where N _ A , I _ A and N _ B , I

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102

The electric current in a circular coil of four turns produces a magnetic induction 32T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the

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103

A square loop of area 25 cm ^ 2 has a resistance of 10Ω . The loop is placed in uniform magnetic field of magnitude 40 . 0T . The plane of loop is perpendicular to the magnetic

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104

A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from + vez direction and lying in xy plane is shown in figure. The plot of ^ j

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105

The magnitude of magnetic induction at mid-point O due to current arrangement as shown in figure will be .

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106

For a moving coil galvanometer, the deflection in the coil is 0 . 05rad when a current of 10mA is passed through it. If the torsional constant of suspension wire is 4 . 0 × 10 ^ –

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107

Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7cm from each other. A point P is at equidistant from both the wires such

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108

Match List I with List II List – I (Current configuration) List – II (Magnetic field at point O ) A I. B _ 0 = μ _ 0 I 4 [ π + 2 ] B II. B _ 0 = μ _ 0 4 (I)/(r) C III.

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109

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2m long and 0 . 2m in diameter. The magnetic intensity at the center of the solenoid when a current

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110

A long solenoid is formed by winding 70 turns cm ^ - 1 . If 2 . 0A current flows, then the magnetic field produced inside the solenoid is ______________. ( µ _ 0 = 4π × 10 ^ – 7

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111

A single turn current loop in the shape of a right angle triangle with sides 5cm, 12cm, 13cm is carrying a current of 2A . The loop is in a uniform magnetic field of magnitude 0 .

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112

Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5cm distance. Magnitude of magnetic force experienced by 10cm length of wire P

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113

A circular loop of radius R is carrying current iA . The ratio of magnetic field at the centre of circular loop and at a distance R from the center of the loop on its axis is :

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114

Which one of the following options represents the magnetic field → B at O due to the current flowing in the given wire segments lying on the xy plane?

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115

A small circular loop of area A and resistance R is fixed on a horizontal xy -plane with the center of the loop always on the axis ^ n of a long solenoid. The solenoid has m turns

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116

A wire X of length 50cm carrying a current of 2A is placed parallel to a long wire Y of length 5m . The wire Y carries a current of 3A . The distance between two wires is 5cm and

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117

A closely wounded circular coil of radius 5cm produces a magnetic field of 37 . 68 × 10 ^ - 4 T at its center. The current through the coil is _____ A . [Given, number of turns in

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118

A wire of length 314cm carrying current of 14A is bent to form a circle. The magnetic moment of the coil is A - m ^ 2 . [Given π = 3 . 14 ]

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119

A triangular shaped wire carrying 10A current is placed in a uniform magnetic field of 0 . 5T , as shown in figure. The magnetic force on segment CD is (Given BC = CD = BD = 5cm ).

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120

The magnetic field at the center of current carrying circular loop is B _ 1 . The magnetic field at a distance of 3 times radius of the given circular loop from the center on its

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