The current in a 90 mH inductor changes with time t as i = 1 . 0 t 2 - 6 . 0 t , where i is in Amperes and t is in seconds. Then,

the emf is zero at time t = 3 s

the magnitude of the induced emf at t = 4 . 0 is 360 mV

the emf is zero at time t = 4 . 0 s

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JEE Main

IMPORTANT

Earn 100

The current in a $4.0 mH$ inductor varies in time, as shown in the figure. The corresponding graph of the self induced emf across the inductor over the time interval $t = 0$ to $t = 12.0 ms$ is

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Important Questions on Inductance

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 4 - Inductance>DPP>Q 8

An emf of

96.0 mV

is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of

1.20 A s^{- 1}

. The mutual inductance of the two coils is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 4 - Inductance>DPP>Q 9

Two coils, held in fixed positions, have a mutual inductance of

100 μH

. What is the peak emf in one coil when the current in the other coil is

i (t) = 10.0 \sin (1.00 \times 10^{3} t)

, where

i

is in Amperes and

t

is in seconds.

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 4 - Inductance>DPP>Q 10

Two single-turn circular loops of wire have radii $R$ and $r$ , with $R ≫ r .$ The loops lie in the same plane and are concentric. The mutual inductance of the pair is (approximately)

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 4 - Inductance>DPP>Q 11

The current in a

90 mH

inductor changes with time

t

i = 1.0 t^{2} - 6.0 t

, where

i

is in Amperes and

t

is in seconds. Then,

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 4 - Inductance>DPP>Q 1

Consider the four circuits shown in the figure, each consisting of a battery, a switch, a light bulb, a resistor and either a capacitor or an inductor. Assume the capacitor has a large capacitance and the inductor has a large inductance but no resistance. The light bulb has high efficiency and glows whenever electric current passes through it.

(i) Describe what the light bulb does in each of circuits (a) through (d) after the switch is closed.

(ii) Describe what the light bulb does in each of circuits (a) through (d) when the switch has been closed for a long time interval and when the switch is opened.

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