A loop of area $0.1\,\,{m^2}$ rotates with a speed of ${\rm{60}}$ rps perpendicular to a magnetic field of ${\rm{0}}{\rm{.4}}\,\,{\rm{T}}$. If there are ${\rm{100}}$ turns in the loop, maximum voltage induced in the loop is

${\rm{15}}{\rm{.07}}\,\,{\rm{V}}$

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JEE • PHYSICS • ELECTRO MAGNETIC INDUCTION

Electro magnetic induction practice · Mixed difficulty

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Showing 1-30 of 295 questions

1 Medium

1 of 295

Application +4 | -1

The current in a long solenoid of radius

R

and having

n

turns per unit length is given by

i=i_0 \sin \omega t

. A coil having

N

turns is wound around it near the centre. Find the induced emf in the coil.

View answer and explanation

Correct option: A

\pi \mu_0 i_0 n N \omega R^2 \cos \omega t

Option A (

\pi \mu_0 i_0 n N \omega R^2 \cos \omega t

) is correct because the induced emf is calculated using Faraday's law, considering the changing magnetic flux through the coil.

2 Medium

2 of 295

Understanding +4 | -1

The induced emf can be produced in a coil by

A. moving the coil with uniform speed inside
uniform magnetic field

B. moving the coil with non uniform speed inside
uniform magnetic field

C. rotating the coil inside the uniform magnetic
field

D. changing the area of the coil inside the uniform
magnetic field

Choose the correct answer from the options given
below:

View answer and explanation

Correct option: C

C and D only

Option C is correct because induced EMF is produced when the magnetic flux changes with time, which occurs when rotating the coil or changing its area inside a magnetic field.

3 Medium

3 of 295

Application +4 | -1

An inductance coil have the time constant

4 \mathrm{sec}

, if it is cut into two equal parts and connected parallel then new time constant of the circuit-

View answer and explanation

Correct option: A

4 \mathrm{sec}

Option A (

4 \mathrm{sec}

) is correct because cutting the coil and connecting in parallel doesn't change the overall L/R ratio.

4 Easy

4 of 295

Understanding +4 | -1

If the coils of a transformer are made up of thick wire, then

View answer and explanation

Correct option: D

Joule’s heating loss is reduced

Option D (Joule’s heating loss is reduced) is correct because a thick wire has lower resistance, leading to reduced Joule heating loss (

I^2R

5 Medium

5 of 295

Application +4 | -1

A loop of area

0.1\,\,{m^2}

rotates with a speed of

\mathrm{60}

rps perpendicular to a magnetic field of

\mathrm{0}\mathrm{.4}\,\,\mathrm{T}

. If there are

\mathrm{100}

turns in the loop, maximum voltage induced in the loop is

View answer and explanation

Correct option: B

\mathrm{1507}\,\,\mathrm{V}

Option B (1507 V) is correct because it is calculated using the formula for the maximum induced voltage in a rotating loop.

6 Medium

6 of 295

Application +4 | -1

\mathrm{50}\,\,\mathrm{mH}

coil carries a current of

\mathrm{2 A}

, the energy stored in joule is

View answer and explanation

Correct option: D

0.1

Option D (0.1) is correct because the energy stored in an inductor is calculated using the formula U = (1/2)LI².

7 Medium

7 of 295

Analyzing +4 | -1

Assertion (A): When plane of coil is perpendicular to magnetic field, magnetic flux linked with the coil is minimum, but induced emf is zero
Reason (R):

\phi=n A B \cos \theta

and

e=\frac{d \phi}{d t}

View answer and explanation

Correct option: A

Both Assertion and Reason are true and Reason is a correct explanation for Assertion

Option A is correct because both the assertion and reason are true, and the reason correctly explains why the induced emf is zero when the magnetic flux is minimum.

8 Medium

8 of 295

Understanding +4 | -1

Two coils of self inductance

{L_1}

and

{L_2}

are placed closer to each other so that total flux in one coil is completely linked with other. If

M

is mutual inductance between them, then

View answer and explanation

Correct option: C

M = \sqrt {{L_1}{L_2}}

Option A (Newton’s first law) is correct because the passenger continues to move forward due to inertia when the bus stops suddenly.

9 Medium

9 of 295

Understanding +4 | -1

A solenoid is placed inside another solenoid, the length of both being equal carrying same magnitude of current. The parameters like radius and number of turns are in the ratio

\mathrm{1 : 2}

for the two solenoids. The mutual inductance on each other would be

View answer and explanation

Correct option: A

{M_{12}} = {M_{21}}

Option A (

{M_{12}} = {M_{21}}

) is correct because, according to the principle of reciprocity, the mutual inductance between two coils is always the same, regardless of their relative sizes or number of turns.

10 Hard

10 of 295

Analyzing +4 | -1

A sheet is placed on a horizontal surface in front of a strong magnetic pole. A force is needed to:

A. hold the sheet there if it is magnetic.

B. hold the sheet there if it is non-magnetic.

C. move the sheet away from the pole with uniform velocity if it is conducting.

D. move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar.

Choose the correct statement(s) from the options given below:

View answer and explanation

Correct option: A

A and C only

Option A (A and C only) is correct because a force is needed to hold a magnetic sheet near a magnetic pole and to move a conducting sheet away from the pole due to eddy currents.

11 Medium

11 of 295

Understanding +4 | -1

When a metallic plate swings between the poles of magnet

View answer and explanation

Correct option: C

Eddy currents are set up inside the plate and the direction of the current oppose the motion of the plate

Option C (Eddy currents are set up inside the plate and the direction of the current oppose the motion of the plate) is correct because the changing magnetic flux induces eddy currents in the plate, and these currents create a magnetic field that opposes the motion.

12 Medium

12 of 295

Application +4 | -1

The magnetic flux linked with a coil is given by

\phi(\mathrm{Wb})=3 t^2+4 t+8,

(where

t

is in

\mathrm{s}

) then magnitude of the induced emf in the coil at

t=2 \mathrm{~s}

will be

View answer and explanation

Correct option: D

16 V

Option D (16 V) is correct because it is the magnitude of the induced emf calculated by differentiating the magnetic flux with respect to time and evaluating at t=2s.

13 Medium

13 of 295

Analyzing +4 | -1

S-I: A straight conductor has practically zero inductance.

S-II: A coil of metal wire is stationary in anonuniform magnetic field. An e.m.f. is induced in the coil.

View answer and explanation

Correct option: C

S-I is correct S-II is incorrect

The correct answer is C because S-I is correct (straight conductor has negligible inductance), but S-II is incorrect (EMF requires *changing* magnetic flux).

14 Medium

14 of 295

Understanding +4 | -1

Eddy currents do not produce

View answer and explanation

Correct option: C

spark

Option C (spark) is correct because eddy currents primarily produce heat, energy loss, and damping, not sparks.

15 Medium

15 of 295

Understanding +4 | -1

In relation to time varying magnetic flux, induced electric field is

View answer and explanation

Correct option: D

Both (1) and (3)

Option D is correct because induced electric fields are non-conservative, and their field lines form closed loops.

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16 Medium

16 of 295

Understanding +4 | -1

Assertion: Lenz'a law violates the principle of conservation of energy.

Reason: Induced emf always oppose the change in magnetic flux responsible for its production.

View answer and explanation

Correct option: D

Assertion is false but reason is true.

Option D (Assertion is false but reason is true.) is correct because Lenz's law is a consequence of the conservation of energy, not a violation of it.

17 Medium

17 of 295

Analyzing +4 | -1

Consider a circular wire loop of radius

\mathrm{R}

spinning about a diametrical chord which is perpendicular to uniform magnetic field

(\mathrm{B}=\mathrm{B}_0 \hat{\mathrm{k}})

View answer and explanation

Correct option: A

The magnitude of the induced EMF in the loop is maximum when the plane of the loop is perpendicular to

\mathrm{B}

Option A is correct because the induced EMF is proportional to the rate of change of flux, which is maximum when the plane of the loop is perpendicular to the magnetic field.

18 Medium

18 of 295

Remembering +4 | -1

The net magnetic flux through any closed surface is

View answer and explanation

Correct option: C

Zero

Option C (Zero) is correct because magnetic monopoles do not exist, leading to a net magnetic flux of zero through any closed surface.

19 Medium

19 of 295

Understanding +4 | -1

A particle of mass m and charge q moving with velocity v describes a circular path of radius r when subjected to a uniform transverse magnetic field of induction of B. The work done by the field, when the particle completes one full circle is

View answer and explanation

Correct option: A

Zero

Option A (Zero) is correct because the magnetic force on a moving charge is always perpendicular to the velocity, so the work done by the magnetic force is zero.

20 Medium

20 of 295

Application +4 | -1

A coil of 100 turns carries a current of

5 \mathrm{~mA}

and creates a magnetic flux of

10^{-5}

Weber. The inductance is

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the calculated inductance is 0.2 H, which is not among the given options.

21 Medium

21 of 295

Application +4 | -1

A current of 2A is increasing at a rate of 4A/s through a coil of inductance 2H. The energy stored in the inductor per unit me is

View answer and explanation

Correct option: C

16 J/s

Option C (16 J/s) is correct because the energy stored per unit time is equal to the power supplied to the inductor, which is calculated as

P = Li\frac{di}{dt}

22 Easy

22 of 295

Application +4 | -1

The coefficient of self inductance of a solenoid is 0.18 mH. If a rod of soft iron of relative permeability 900 is inserted, then the coefficient of self inductance (in mH ) will become nearly:

View answer and explanation

Correct option: A

162

Option A (162) is correct because the self-inductance increases proportionally to the relative permeability when a soft iron rod is inserted.

23 Medium

23 of 295

Understanding +4 | -1

The emf induced in a coil of area

\mathrm{A}

due to change in magnetic flux in a magnetic field

\mathrm{B}

is given as

View answer and explanation

Correct option: C

\mathrm{e}=-\frac{\mathrm{d}}{\mathrm{dt}}(\mathrm{B} \cdot \mathrm{A})

Option C,

\mathrm{e}=-\frac{\mathrm{d}}{\mathrm{dt}}(\mathrm{B} \cdot \mathrm{A})

, is correct because it represents Faraday's law of induction, stating that the induced emf is the negative rate of change of magnetic flux.

24 Medium

24 of 295

Understanding +4 | -1

Assertion: Whenever magnetic flux linked with the coil changes with respect to time, then an emf is induced in it.

Reason: According to Lenz law, the direction of induced current in any coil in such a way that it always opposes the cause by which it is produced.

View answer and explanation

Correct option: B

If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.

Option B is correct. Both the assertion and the reason are true, but the reason (Lenz's Law) does not directly explain the assertion (Faraday's Law of Induction).

25 Medium

25 of 295

Application +4 | -1

The current in a coil decreases from 1 A to 0.2 A in 10sec. Calculate the coefficient of self-inductance. If average induced emf is 0.4 volt.

View answer and explanation

Correct option: A

5 H

Option A (5 H) is correct because the self-inductance is calculated using the formula relating induced emf to the rate of change of current.

26 Medium

26 of 295

Remembering +4 | -1

Lenz's law is based on law of conservation of

View answer and explanation

Correct option: D

Energy

Option D (Energy) is correct because Lenz's law is a consequence of the law of conservation of energy, ensuring that the induced current opposes the change in magnetic flux.

27 Medium

27 of 295

Analyzing +4 | -1

Two circular, similar, coaxial loops carry equal currents in the same direction. If the loops are brought nearer, what will happen ?

View answer and explanation

Correct option: B

current will decrease in each loop

The correct answer is current will decrease in each loop because, according to Lenz's law, the induced current opposes the change in magnetic flux.

28 Medium

28 of 295

Remembering +4 | -1

Lenz law is based on principle of conservation of

View answer and explanation

Correct option: B

Energy

Option B (Energy) is correct because Lenz's law is a consequence of the conservation of energy.

29 Medium

29 of 295

Understanding +4 | -1

Assertion (A): When two coils are wound on each other, the mutual induction between the coils is maximum.
Reason (R): Mutual induction does not depend on the orientation of the coils.

View answer and explanation

Correct option: C

Assertion is true but reason is false

Option C (Assertion is true but reason is false) is correct because mutual induction is maximum when coils are closely wound, but it does depend on the orientation of the coils.

30 Medium

30 of 295

Understanding +4 | -1

When the self-inductance of the primary and secondary coil is doubled, then the mutual inductance of the two coils is-

View answer and explanation

Correct option: B

Doubled

Option B (Doubled) is correct because mutual inductance is proportional to the square root of the product of the self-inductances of the two coils.

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Key Takeaways

✓ This set contains 295 single-correct-answer MCQs on ELECTRO MAGNETIC INDUCTION.
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