# Electromagnetic Induction · Physics · JEE Main

Start Practice## MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Evening Shift

A square loop of side $$15 \mathrm{~cm}$$ being moved towards right at a constant speed of $$2\mathrm{~cm} / \mathrm{s}$$ as shown in figure. The fron...

JEE Main 2024 (Online) 1st February Evening Shift

A transformer has an efficiency of $80 \%$ and works at $10 \mathrm{~V}$ and $4 \mathrm{~kW}$. If the secondary voltage is $240 \mathrm{~V}$, then the...

JEE Main 2024 (Online) 31st January Morning Shift

A coil is places perpendicular to a magnetic field of $$5000 \mathrm{~T}$$. When the field is changed to $$3000 \mathrm{~T}$$ in $$2 \mathrm{~s}$$, an...

JEE Main 2024 (Online) 30th January Evening Shift

Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family...

JEE Main 2024 (Online) 29th January Morning Shift

Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family...

JEE Main 2024 (Online) 27th January Morning Shift

A rectangular loop of length $$2.5 \mathrm{~m}$$ and width $$2 \mathrm{~m}$$ is placed at $$60^{\circ}$$ to a magnetic field of $$4 \mathrm{~T}$$. The...

JEE Main 2023 (Online) 15th April Morning Shift

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

JEE Main 2023 (Online) 11th April Evening Shift

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 magn...

JEE Main 2023 (Online) 10th April Morning Shift

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...

JEE Main 2023 (Online) 8th April Evening Shift

An emf of $$0.08 \mathrm{~V}$$ is induced in a metal rod of length $$10 \mathrm{~cm}$$ held normal to a uniform magnetic field of $$0.4 \mathrm{~T}$$,...

JEE Main 2023 (Online) 8th April Morning Shift

Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material is

JEE Main 2023 (Online) 6th April Morning Shift

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 s...

JEE Main 2023 (Online) 1st February Evening Shift

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 b...

JEE Main 2023 (Online) 29th January Evening Shift

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 lo...

JEE Main 2023 (Online) 29th January Morning Shift

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 si...

JEE Main 2023 (Online) 25th January Evening Shift

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 ...

JEE Main 2023 (Online) 24th January Evening Shift

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...

JEE Main 2023 (Online) 24th January Morning Shift

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 de...

JEE Main 2022 (Online) 25th July Evening Shift

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 ...

JEE Main 2022 (Online) 25th July Morning Shift

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 an...

JEE Main 2022 (Online) 28th June Evening Shift

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...

JEE Main 2022 (Online) 26th June Evening Shift

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 ...

JEE Main 2022 (Online) 26th June Evening Shift

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$$-$$...

JEE Main 2022 (Online) 26th June Morning Shift

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 ...

JEE Main 2021 (Online) 1st September Evening Shift

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 magn...

JEE Main 2021 (Online) 31st August Evening Shift

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

JEE Main 2021 (Online) 31st August Morning Shift

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 w...

JEE Main 2021 (Online) 27th August Evening Shift

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 a...

JEE Main 2021 (Online) 27th August Morning Shift

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 th...

JEE Main 2021 (Online) 26th August Morning Shift

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 co...

JEE Main 2021 (Online) 20th July Morning Shift

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 ...

JEE Main 2021 (Online) 18th March Evening Shift

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 ...

JEE Main 2021 (Online) 16th March Evening Shift

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 wit...

JEE Main 2021 (Online) 16th March Morning Shift

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...

JEE Main 2021 (Online) 26th February Evening Shift

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 par...

JEE Main 2021 (Online) 24th February Evening Shift

Figure shows a circuit that contains four identical resistors with resistance R = 2.0$$\Omega$$, two identical inductors with inductance L = 2.0 mH an...

JEE Main 2020 (Online) 5th September Evening Slot

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 s...

JEE Main 2020 (Online) 4th September Morning Slot

A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on ...

JEE Main 2020 (Online) 3rd September Evening Slot

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

JEE Main 2020 (Online) 3rd September Morning Slot

An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is placed in
magnetic field as shown in the figure. If the loop is...

JEE Main 2020 (Online) 8th January Evening Slot

A shown in the figure, a battery of emf $$\varepsilon $$ is
connected to an inductor L and resistance R in
series. The switch is closed at t = 0. The ...

JEE Main 2020 (Online) 8th January Morning Slot

At time t = 0 magnetic field of 1000 Gauss is
passing perpendicularly through the area
defined by the closed loop shown in the figure.
If the magnetic...

JEE Main 2020 (Online) 7th January Evening Slot

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 rot...

JEE Main 2020 (Online) 7th January Morning Slot

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

JEE Main 2020 (Online) 7th January Morning Slot

A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1 - t). A ring of radius 2R is placed coaxially near its middle. During th...

JEE Main 2019 (Online) 12th April Morning Slot

The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving towards right with a constant ...

JEE Main 2019 (Online) 9th April Evening Slot

Two coils 'P' and 'Q' are separated by some
distance. When a current of 3 A flows through
coil 'P', a magnetic flux of 10–3 Wb passes
through 'Q'. No ...

JEE Main 2019 (Online) 9th April Evening Slot

A very long solenoid of radius R is carrying
current I(t) = kte–at(k > 0), as a function of time
(t $$ \ge $$ 0). counter clockwise current is take...

JEE Main 2019 (Online) 9th April Morning Slot

The total number of turns and cross-section area
in a solenoid is fixed. However, its length L is varied
by adjusting the separation between windings....

JEE Main 2019 (Online) 8th April Morning Slot

A 20 Henry inductor coil is connected to a
10 ohm resistance in series as shown in figure.
The time at which rate of dissipation of energy
(joule's he...

JEE Main 2019 (Online) 12th January Evening Slot

A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms–1, at right angles to the horizontal component...

JEE Main 2019 (Online) 11th January Evening Slot

A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear
dimension of each side of the frame is increas...

JEE Main 2019 (Online) 11th January Morning Slot

There are two long co-axial solenoids of same length $$l$$. The inner and outer coils have radii r1 and r2 and number of turns per unit length n1 and ...

JEE Main 2019 (Online) 10th January Evening Slot

The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, the change in the energy of the...

JEE Main 2019 (Online) 10th January Morning Slot

A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of 6 m/s. There is a uniform magnetic field of 0.1 T in...

JEE Main 2019 (Online) 9th January Morning Slot

A conducting circular loop made of a thin wire, has area 3.5 $$ \times $$ 10$$-$$3 m2 and resistance 10 $$\Omega $$. It is placed perpendicular to a t...

JEE Main 2018 (Online) 16th April Morning Slot

A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular velocity $$\omega ,$$ the ...

JEE Main 2018 (Online) 15th April Evening Slot

A copper rod of mass m slides under gravity on two smooth parallel rails, with separation l and set at an angle of $$\theta $$ with the horizontal. At...

JEE Main 2018 (Online) 15th April Evening Slot

At the center of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two coils are concentric and are in ...

JEE Main 2017 (Online) 9th April Morning Slot

A uniform magnetic field B of 0.3 T is along the positive Z-direction. A rectangular loop (abcd) of sides 10 cm × 5 cm carries a current I of 12 A. Ou...

JEE Main 2017 (Online) 8th April Morning Slot

A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plan...

JEE Main 2017 (Offline)

In a coil of resistance 100 $$\Omega $$, a current is induced by changing
the magnetic flux through it as shown in the figure. The
magnitude of change...

JEE Main 2016 (Online) 10th April Morning Slot

A conducting metal circular-wire-loop of radius r is placed perpendicular to a
magnetic field which varies with time as
B = B0e$${^{{{ - t} \over r}}...

JEE Main 2016 (Online) 10th April Morning Slot

Consider a thin metallic sheet perpendicular to the plane of the paper
moving with speed ‘v’ in a uniform magnetic field B going into the plane of the...

JEE Main 2015 (Offline)

Two coaxial solenoids of different radius carry current $$I$$ in the same direction. $$\overrightarrow {{F_1}} $$ be the magnetic force on the inner s...

JEE Main 2013 (Offline)

A circular loop of radius $$0.3$$ $$cm$$ lies center of the small loop is on the axis of the bigger loop. The distance between their centers is $$15$$...

JEE Main 2013 (Offline)

A metallic rod of length $$'\ell '$$ is tied to a string of length $$2$$$$\ell $$ and made to rotate with angular speed $$w$$ on a horizontal table w...

AIEEE 2012

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through ...

AIEEE 2011

A boat is moving due east in a region where the earth's magnetic fields is $$5.0 \times {10^{ - 5}}$$ $$N{A^{ - 1}}\,{m^{ - 1}}$$ due north and horizo...

AIEEE 2010

A rectangular loop has a sliding connector $$PQ$$ of length $$l$$ and resistance $$R$$ $$\Omega $$ and it is moving with a speed $$v$$ as shown. The s...

AIEEE 2008

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $$A=$$ $$10\,\,c{m^2}$$ and length $$=20$$ $$cm$$ ....

AIEEE 2007

An ideal coil of $$10H$$ is connected in series with a resistance of $$5\Omega $$ and a battery of $$5V$$. $$2$$ second after the connection is made, ...

AIEEE 2006

Which of the following units denotes the dimension $${{M{L^2}} \over {{Q^2}}}$$, where $$Q$$ denotes the electric charge?

AIEEE 2006

The flux linked with a coil at any instant $$'t'$$ is given by
$$\phi = 10{t^2} - 50t + 250$$
The induced $$emf$$ at $$t=3s$$ is

AIEEE 2006

An inductor $$(L=100$$ $$mH)$$, a resistor $$\left( {R = 100\,\Omega } \right)$$ and a battery $$\left( {E = 100V} \right)$$ are initially connected i...

AIEEE 2005

A coil of inductance $$300$$ $$mH$$ and resistance $$2\,\Omega $$ is connected to a source of voltage $$2$$ $$V$$. The current reaches half of its ste...

AIEEE 2005

One conducting $$U$$ tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field $$B$$ is ...

AIEEE 2004

A coil having $$n$$ turns and resistance $$R\Omega $$ is connected with a galvanometer of resistance $$4R\Omega .$$ This combination is moved in time ...

AIEEE 2004

In a uniform magnetic field of induction $$B$$ a wire in the form of a semicircle of radius $$r$$ rotates about the diameter of the circle with an ang...

AIEEE 2004

A metal conductor of length $$1$$ $$m$$ rotates vertically about one of its ends at angular velocity $$5$$ radians per second. If the horizontal comp...

AIEEE 2003

Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon

AIEEE 2003

When the current changes from $$ + 2A$$ to $$-2A$$ in $$0.05$$ second, an $$e.m.f.$$ of $$8$$ $$V$$ is inducted in a coil. The coefficient of self- in...

AIEEE 2002

The inductance between $$A$$ and $$D$$ is
...

AIEEE 2002

A conducting square loop of side $$L$$ and resistance $$R$$ moves in its plane with a uniform velocity $$v$$ perpendicular to one of its sides. A magn...

## Numerical

JEE Main 2024 (Online) 1st February Evening Shift

A coil of 200 turns and area $0.20 \mathrm{~m}^2$ is rotated at half a revolution per second and is placed in uniform magnetic field of $0.01 \mathrm{...

JEE Main 2024 (Online) 1st February Morning Shift

A rectangular loop of sides $12 \mathrm{~cm}$ and $5 \mathrm{~cm}$, with its sides parallel to the $x$-axis and $y$-axis respectively, moves with a ve...

JEE Main 2024 (Online) 31st January Evening Shift

The magnetic flux $$\phi$$ (in weber) linked with a closed circuit of resistance $$8 \Omega$$ varies with time (in seconds) as $$\phi=5 t^2-36 t+1$$. ...

JEE Main 2024 (Online) 31st January Morning Shift

A small square loop of wire of side $$l$$ is placed inside a large square loop of wire of side $$L\left(L=l^2\right)$$. The loops are coplanar and the...

JEE Main 2024 (Online) 30th January Morning Shift

A ceiling fan having 3 blades of length $$80 \mathrm{~cm}$$ each is rotating with an angular velocity of 1200 $$\mathrm{rpm}$$. The magnetic field of ...

JEE Main 2024 (Online) 29th January Evening Shift

A horizontal straight wire $$5 \mathrm{~m}$$ long extending from east to west falling freely at right angle to horizontal component of earths magnetic...

JEE Main 2024 (Online) 29th January Morning Shift

A square loop of side $$10 \mathrm{~cm}$$ and resistance $$0.7 \Omega$$ is placed vertically in east-west plane. A uniform magnetic field of $$0.20 T$...

JEE Main 2024 (Online) 27th January Morning Shift

Two coils have mutual inductance $$0.002 \mathrm{~H}$$. The current changes in the first coil according to the relation $$\mathrm{i}=\mathrm{i}_0 \sin...

JEE Main 2023 (Online) 15th April Morning Shift

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 o...

JEE Main 2023 (Online) 13th April Evening Shift

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...

JEE Main 2023 (Online) 12th April Morning Shift

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...

JEE Main 2023 (Online) 11th April Evening Shift

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 ...

JEE Main 2023 (Online) 11th April Morning Shift

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 o...

JEE Main 2023 (Online) 10th April Evening Shift

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 curren...

JEE Main 2023 (Online) 10th April Morning Shift

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...

JEE Main 2023 (Online) 6th April Evening Shift

Two concentric circular coils with radii $$1 \mathrm{~cm}$$ and $$1000 \mathrm{~cm}$$, and number of turns 10 and 200 respectively are placed coaxiall...

JEE Main 2023 (Online) 30th January Morning Shift

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 wil...

JEE Main 2023 (Online) 29th January Morning Shift

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...

JEE Main 2023 (Online) 24th January Evening Shift

Three identical resistors with resistance R = 12$$\Omega$$ and two identical inductors with self inductance L = 5 mH are connected to an ideal battery...

JEE Main 2022 (Online) 28th July Evening Shift

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

JEE Main 2022 (Online) 27th July Evening Shift

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 \...

JEE Main 2022 (Online) 26th July Evening Shift

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)...

JEE Main 2022 (Online) 25th July Evening Shift

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 in...

JEE Main 2022 (Online) 27th June Evening Shift

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...

JEE Main 2022 (Online) 26th June Morning Shift

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 z...

JEE Main 2022 (Online) 25th June Morning Shift

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 c...

JEE Main 2022 (Online) 24th June Evening Shift

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 horizont...

JEE Main 2021 (Online) 26th August Evening Shift

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 cyclo...

JEE Main 2021 (Online) 26th August Evening Shift

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 m...

JEE Main 2021 (Online) 27th July Evening Shift

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 milliweber...

JEE Main 2021 (Online) 25th July Morning Shift

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 ...

JEE Main 2021 (Online) 25th February Morning Shift

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)...

JEE Main 2020 (Online) 6th September Morning Slot

A part of a complete circuit is shown in the figure. At some instant, the value of current I is 1A and
it is decreasing at a rate of 102 A s–1. The va...

JEE Main 2020 (Online) 5th September Morning Slot

Two concentric circular coils, C1 and C2 are
placed in the XY plane. C1 has 500 turns, and
a radius of 1 cm. C2 has 200 turns and radius
of 20 cm. C2 ...

JEE Main 2020 (Online) 2nd September Morning Slot

A circular coil of radius 10 cm is placed in a
uniform magnetic field of 3.0 $$ \times $$ 10–5 T with its
plane perpendicular to the field initially. ...

JEE Main 2020 (Online) 9th January Morning Slot

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

JEE Main 2020 (Online) 7th January Morning Slot

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 ...