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Magnetic Effects of Current — JEE Main & Advanced Physics PYQs

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

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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 , as shown in the figure. The cone c

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2

In a vacuum chamber, a particle of charge 1 C 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 . At t

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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 = B₀(3 i +2 k ) . If B₀ = 4 10⁻³ T and current I=100 2 A, the torque e

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4

A 5 mg particle carrying a charge of 5 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 meter alo

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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 tw

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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 10⁻¹⁴ J. The value of

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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 30°

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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 r₁ = 3 cm, and of the outermost turn r₂ = 6 cm. If 20 mA current flo

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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 that instan

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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 , 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 10⁻⁶ N. The value of is

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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 a

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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 _ _ _ _ . ( _ o =4 10⁻⁷ ~T . m

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15

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

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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 unsta

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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 10⁻⁵ ~T . The value of 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 d

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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 . The ratio of th

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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 magnitu

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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 curve

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24

Uniform magnetic fields of different strengths (B₁ . and B₂ ), both normal to the plane of the paper exist as shown in the figure. A charged particle of mass m and charge q , at th

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25

A particle of charge 1.6 C and mass 16 ~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 the par

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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 t

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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 en

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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 R₁=6 ~m and R ₂=4 ~m . The magnitude of the resultant magnetic fie

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30

In a moving coil galvanometer, two moving coils M₁ and M₂ have the following particulars : aligned & R ₁=5 , ~N ₁=15, ~A ₁=3.6 10⁻³ ~m ^2, ~B ₁=0.25 ~T & R ₂=7 , ~N ₂=21, ~A ₂=1.8

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31

Let B₁ be the magnitude of magnetic field at center of a circular coil of radius R carrying current I . Let B₂ be the magnitude of magnetic field at an axial distance ' x ' from th

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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 ________ cm .

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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 from

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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 v₀ along

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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 magnit

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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 as shown in the figure. A bigger Amperian

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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 i

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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 pe

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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 neces

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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 exci

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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 moves

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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 resul

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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 i

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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 ₀=0

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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 a st

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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 deut

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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 = 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 accou

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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 xy axis. A magnetic field is passing through the x-y plane and expressed as B =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 axis

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53

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

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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 magne

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55

An element l= 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 x of 1 ~cm length is:

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56

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

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57

The electrostatic force ( F₁ ) 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 solenoid

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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 , resistivity 2 10⁻⁶ m , area of cross-section 10 ~mm ^2 and mass 500 ~g is suspended horizontally in mid air by applying

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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 value

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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 x

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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 . 01 T and the deflection in the coil is 0 . 05 ra

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65

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

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66

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

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67

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

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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 . If the m

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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 figu

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70

The current of 5 A flows in a square loop of sides 1 m 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 North

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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 μ C 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 charge

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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 de

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75

The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of 20 cm from its center is 1 . 5 × 10 - 5 T m . 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 π m and R 2 = 4 π m carrying current I = 4 A as per figure given below is α × 10 -

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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 . 0 cm . The magnitude of the magnetic field at a poi

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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 respectively

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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 . 52 Å . The magnetic field produced at the

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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 posi

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81

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

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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 so

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83

A straight wire carrying a current of 14 A is bent into a semicircular arc of radius 2 . 2 cm 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 i

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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 t

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88

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

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

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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 = 3 A . 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 2 μC accelerated by a potential difference of 100 V enters a region of uniform magnetic field of magnitude 4 mT at right angle to the direction of field.

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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 calcul

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96

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

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97

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

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98

As shown in the figure, a current of 2 A 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 earth&

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99

A current carrying rectangular loop P Q R S is made of uniform wire. The length P R = Q S = 5 cm and P Q = R S = 100 cm . If ammeter current reading changes from I to 2 I , the rat

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100

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

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101

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

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102

The electric current in a circular coil of four turns produces a magnetic induction 32 T 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 10 Ω . The loop is placed in uniform magnetic field of magnitude 40 . 0 T . The plane of loop is perpendicular to the magneti

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104

A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from + v e z direction and lying in x y 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 . 05 rad when a current of 10 mA is passed through it. If the torsional constant of suspension wire is 4 . 0 ×

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107

Two long parallel wires carrying currents 8 A and 15 A in opposite directions are placed at a distance of 7 cm 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 r [ π + 2 ] B II. B 0 = μ 0 4

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109

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0 . 2 m 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 . 0 A current flows, then the magnetic field produced inside the solenoid is ______________. ( µ 0 = 4 π &#215

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111

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

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112

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

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113

A circular loop of radius R is carrying current i A . 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 x y plane?

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115

A small circular loop of area A and resistance R is fixed on a horizontal x y -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 50 cm carrying a current of 2 A is placed parallel to a long wire Y of length 5 m . The wire Y carries a current of 3 A . The distance between two wires is 5 cm

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117

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

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118

A wire of length 314   cm carrying current of 14   A 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 10 A current is placed in a uniform magnetic field of 0 . 5 T , as shown in figure. The magnetic force on segment C D is (Given B C = C D = B D =

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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 axi

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