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The potential difference across a 2H inductor as a function of time is shown in the figure. At time t = 0, current is zero. Choose the correct statement

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Important Questions on Electromagnetic Induction

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

Current in a circuit falls from

8.0 A

0.0 A

0.2

Seconds. If an average emf of

300 V

is induced, estimate the self - inductance of the circuit?

HARD

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

The current in a coil of self inductance

L = 2.0 H

is increasing according to the law

i = 2 \sin (t^{2})

. Find the amount of energy spent (in

J

) during the period when the current changes from

0

2 A

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

The current following through an inductance coil of self inductance $6 mH$ at different time instants is as shown. The emf induced between $t = 20 s$ and $t = 40 s$ is nearly

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MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

In a circuit current decrease from $5 A$ to $0 A$ is $0 \cdot 1 s$ . If the average induced e.m.f is $200 v$ , calculate the self inductance of the circuit and write is unit.

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

The average emf induced in a coil, when the current in it changes from

2 A

4 A

0.05 s

, is

8 V

. Find the self-inductance of this coil.

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

Two different coils have self inductance

L_{1} = 8 mH

and

L_{2} = 2 mH .

The current in one coil is increased at a constant rate. The current in the second coil is also increased at the same rate. At a certain instant of time. power given to both the coils is the same. At the time, the current, the induced voltage and the energy stored in the first coil are

i_{1}, v_{1}

and

W_{1}

respectively. Corresponding values for the second coil at the same instant are

i_{2}, v_{2}

and

W_{2}

respectively. Then find the value of

\frac{W_{2}}{W_{1}} =

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

Two inductors each of inductance

L

are connected in parallel. One more inductor of value

5 mH

is connected in series to this configuration then the effective inductance is

15 mH

. The value of

L

is......

(in mH)

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

When the current in an inductor is

1.0 A

, the energy stored in the inductor is

3.0 mJ

. If the current is reduced to

0.5 A

, the energy stored in the inductor would be

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

If the inductance of a coil is

1 H

, its effective resistance in a

DC

circuit will be

HARD

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

A coil of inductance

2 H

having negligible resistance is connected to a source of supply whose voltage is given by

V = 3 t

volt. (where

t

is in second). If the voltage is applied when

t = 0

, then the energy stored in the coil after

4 s

J

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

Obtain an expression for the magnetic energy stored in a solenoid in terms of the magnetic field

B

, area

A

and length

L

of the solenoid.

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

A series

L - R

circuit is connected to a battery of emf

V

. If the circuit is switched on at

t = 0

, then the time at which the energy stored in the inductor reaches

(\frac{1}{n})

times of its maximum value, is :

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

The current in a

25 mH

inductor changes at a constant rate of

5 A s^{- 1} .

The voltage induced in the coil is

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

Current in a coil with self-inductance $2 H$ is increasing according to $I = (2 {sint}^{2})$ ampere. Amount of energy spent during the period when current changes from $0$ to $2 A$ is

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

An air-core solenoid has an inductance of

10

Henry. It is carrying a current of

100

Ampere. The amount of energy stored in the magnetic field that is created by the current is

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

A coil has an inductance of

2 H

and resistance of

4 Ω

. A

10 V

is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _____

\times 10^{- 2} J

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

2 μ F

capacitor is charged to

50 V

by a battery. The battery is removed after capacitor is fully charged. At time

t = 0

, a

10 mH

coil is connected in series with the capacitor. The maximum rate at which the current changes in the circuit is

HARD

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual 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 :

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

In an inductor of self-inductance

L = 2 mH

, current changes with time according to relation

i = t^{2} e^{- 1}

. At what time

e m f

is zero?

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction>Self and Mutual Induction

The self induced emf of a coil is

25

volts. When the current in it is changed at uniform rate from

10 A

25 A

1 s

, the change in the energy of the inductance is:

The potential difference across a 2H inductor as a function of time is shown in the figure. At time t = 0, current is zero. Choose the correct statement

Important Questions on Electromagnetic Induction

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