Electromagnetic Induction PYQs - Last 10 Years

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Practice 131 JEE Main Physics questions from Electromagnetic Induction. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Electromagnetic Induction Questions

Showing 50 of 131 filtered questions.

1Electromagnetic Induction

As per the given figure, if \(\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / s\) then the value of \(\mathrm{V}_{\mathrm{AB}}\) at this instant will be ____________ \(\mathrm{V}\).

INTEGER+4 / -12023

2Electromagnetic Induction

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 radius of the loop starts shrinking at a constant rate of 2 cms$$^{...

INTEGER+4 / -12023

3Electromagnetic Induction

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 \(L\) \((L \gg R)\). The loops are coplanar and their centres coincide :

4Electromagnetic Induction

A square loop of area 25 cm\(^2\) has a resistance of 10 \(\Omega\). The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the ma...

5Electromagnetic Induction

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

6Electromagnetic Induction

A conducting circular loop of radius \(\frac{10}{\sqrt\pi}\) 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 induced emf in the circular loop at 0.25 s ...

7Electromagnetic Induction

Three identical resistors with resistance R = 12\(\Omega\) and two identical inductors with self inductance L = 5 mH are connected to an ideal battery with emf of 12 V as shown in figure. The current through the battery long after the switc...

INTEGER+4 / -12023

8Electromagnetic Induction

A metallic rod of length 'L' is rotated with an angular speed of '\(\omega\)' normal to a uniform magnetic field 'B' about an axis passing through one end of rod as shown in figure. The induced emf will be :

9Electromagnetic Induction

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 magnitude of the magnetic field within the coil.
B. By chan...

10Electromagnetic Induction

A $20 \mathrm{~cm}$ long metallic rod is rotated with $210~ \mathrm{rpm}$ 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. A constant and uniform magnetic fie...

INTEGER+4 / -12023

11Electromagnetic Induction

$12 \mathrm{~V}$ battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in the circuit. The switch is opened in $1 \mathrm{~ms}$. The emf induced across the coil is $20 \mathrm{~V}$. The inductance ...

12Electromagnetic Induction

An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area \(24 \mathrm{~cm}^{2}\). The two ends of the wire are connected to a resistor. The total resistance in the circuit is $$12 ~\Omega...

INTEGER+4 / -12023

13Electromagnetic Induction

A conducting circular loop is placed in a uniform magnetic field of \(0.4 \mathrm{~T}\) with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constant rate of \(1 \mathrm{~mm} / \mathrm{s}\). The m...

INTEGER+4 / -12023

14Electromagnetic Induction

The magnetic field B crossing normally a square metallic plate of area \(4 \mathrm{~m}^{2}\) is changing with time as shown in figure. The magnitude of induced emf in the plate during \(\mathrm{t}=2 s\) to \(\mathrm{t}=4 s\), is __________ ...

INTEGER+4 / -12023

15Electromagnetic Induction

A metallic cube of side \(15 \mathrm{~cm}\) moving along \(y\)-axis at a uniform velocity of \(2 \mathrm{~ms}^{-1}\). In a region of uniform magnetic field of magnitude \(0.5 \mathrm{~T}\) directed along \(z\)-axis. In equilibrium the poten...

INTEGER+4 / -12023

16Electromagnetic Induction

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a ...

17Electromagnetic Induction

A 1 m 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 0.15 T. If the resistance of the circuit is 5\(\Omega\), the force needed to move the rod in d...

INTEGER+4 / -12023

18Electromagnetic Induction

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 : Increasing current sensitivity of a moving coil galvanomet...

19Electromagnetic Induction

A square loop of side \(2.0 \mathrm{~cm}\) is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude \(2.5 \mathrm{~A}\) and angular frequency $$700 ~\mathrm{rad} ~\mathrm{s}^{...

INTEGER+4 / -12023

20Electromagnetic Induction

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 current induced in the coil would be :
(Assume the coil to be...

21Electromagnetic Induction

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

INTEGER+4 / -12022

22Electromagnetic Induction

A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal component of the Earth's magnetic field at that place is 4 \(\times\) 10\(-\)3 T and the angle of dip ...

INTEGER+4 / -12022

23Electromagnetic Induction

A conducting circular loop is placed in \(X-Y\) plane in presence of magnetic field \(\overrightarrow{\mathrm{B}}=\left(3 \mathrm{t}^{3} \,\hat{j}+3 \mathrm{t}^{2}\, \hat{k}\right)\) in SI unit. If the radius of the loop is $$1 \mathrm{~m}$...

INTEGER+4 / -12022

24Electromagnetic Induction

A 10 \(\Omega\), 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 \(\mu\)s. The average e.m.f. induced in the coil is ____________ V.

INTEGER+4 / -12022

25Electromagnetic Induction

The magnetic flux through a coil perpendicular to its plane is varying according to the relation \(\phi = (5{t^3} + 4{t^2} + 2t - 5)\) Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2 s will...

26Electromagnetic Induction

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 of earth's magnetic field is 0.2 \(\times\) 10\(-\)4 T, the...

27Electromagnetic Induction

Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be :

28Electromagnetic Induction

In a coil of resistance \(8 \,\Omega\), the magnetic flux due to an external magnetic field varies with time as \(\phi=\frac{2}{3}\left(9-t^{2}\right)\). The value of total heat produced in the coil, till the flux becomes zero, will be ____...

INTEGER+4 / -12022

29Electromagnetic Induction

The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent during the period when current changes from 0 to 2 A is ____________ J.

INTEGER+4 / -12022

30Electromagnetic Induction

A small square loop of wire of side \(l\) is placed inside a large square loop of wire \(\mathrm{L}(\mathrm{L}>>l)\). Both loops are coplanar and their centres coincide at point \(\mathrm{O}\) as shown in figure. The mutual inductance of th...

31Electromagnetic Induction

Magnetic flux (in weber) in a closed circuit of resistance 20 \(\Omega\) varies with time t(s) at \(\phi\) = 8t2 \(-\) 9t + 5. The magnitude of the induced current at t = 0.25 s will be ____________ mA.

INTEGER+4 / -12022

32Electromagnetic Induction

The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound and in rewound into a circular coil of 5 tuns and the same current produces a magnetic induction B2 at its centre. The ra...

33Electromagnetic Induction

A circular coil of 1000 turns each with area 1m2 is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07T. The maximum voltage generation will be ___________ V.

INTEGER+4 / -12022

34Electromagnetic Induction

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 current I is passed in the square loop of side 'b', then the ...

35Electromagnetic Induction

A coil is placed in a magnetic field \(\overrightarrow B\) as shown below :A current is induced in the coil because \(\overrightarrow B\) is :

36Electromagnetic Induction

In the given figure the magnetic flux through the loop increases according to the relation \(\phi\)B(t) = 10t2 + 20t, where \(\phi\)B is in milliwebers and t is in seconds. The magnitude of current through R = 2\(\Omega\) resistor at t = 5...

INTEGER+4 / -12021

37Electromagnetic Induction

A bar magnet is passing through a conducting loop of radius R with velocity \(\upsilon\). The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the loop can be represented by the approximate curve...

38Electromagnetic Induction

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 1 m/s along the x-axis. At t = 0s, the centre of O of the ring is at x = \(-\)1m. What will be the v...

39Electromagnetic Induction

An aeroplane, with its wings spread 10 m, is flying at a speed of 180 km/h in a horizontal direction. The total intensity of earth's field at that part is 2.5 \(\times\) 10\(-\)4 Wb/m2 and the angle of dip is 60\(^\circ\). The emf induced b...

40Electromagnetic Induction

An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8A is passed through it. If this coil is joined across an ideal battery, find the time constant of the circuit in seconds :

41Electromagnetic Induction

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 \(\times\) 10\(-\)2 T. The maximum emf induced the coil will be ........

INTEGER+4 / -12021

42Electromagnetic Induction

If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ...............[mp = 1.67 \(\times\) 10...

INTEGER+4 / -12021

43Electromagnetic Induction

A circular conducting coil of radius 1 m is being heated by the change of magnetic field \(\overrightarrow B\) passing perpendicular to the plane in which the coil is laid. The resistance of the coil is 2 \(\mu\)\(\Omega\). The magnetic fi...

INTEGER+4 / -12021

44Electromagnetic Induction

A coil of inductance 2 H 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 when t = 0, then the energy stored in the coil after 4 s is __...

INTEGER+4 / -12021

45Electromagnetic Induction

Figure shows a circuit that contains four identical resistors with resistance R = 2.0\(\Omega\), two identical inductors with inductance L = 2.0 mH and an ideal battery with emf E = 9V. The current 'i' just after the switch 'S' is closed wi...

46Electromagnetic Induction

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 to the plane is acting from x = 0 to x = b. Identify the grap...

47Electromagnetic Induction

A square loop of side 20 cm and resistance 1\(\Omega\) is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it...

48Electromagnetic Induction

The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L is connected to a battery, is :

49Electromagnetic Induction

A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure Two resistors R1 and R2 are connected across the ends of the rails. There is a uniform magnetic field \(\overrightarrow B\) pointing into...

50Electromagnetic Induction

The magnetic field in a region is given by \(\overrightarrow B = {B_o}\left( {{x \over a}} \right)\widehat k\). A square loop of side d is placed with its edges along the x and y axes. The loop is moved with a constant velocity $$\overrigh...