Question

Assertion: In the phenomenon of mutual induction, self-induction of each of the coil persists. Reason: Self-induction arises when strength of current in one coil changes. In mutual induction, current is changing in both the individual coils. (A) $\mathrm{A}$ (B) $\mathrm{B}$ (C) $\overline{\mathrm{C}}$ (D) D

Name: Problem 112, Chapter 16: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-12T14:40:38-08:00
Duration: 1 min 14 s
Channel: Ankur S
Description: Assertion: In the phenomenon of mutual induction, self-induction of each of the coil persists. Reason: Self-induction arises when strength of current in one coil changes. In mutual induction, current is changing in both the individual coils. (A) A (B) B (C) C (D) D

   Assertion: In the phenomenon of mutual induction, self-induction of each of the coil persists. 
Reason: Self-induction arises when strength of current in one coil changes. In mutual induction, current is changing in both the individual coils.
(A) $\mathrm{A}$
(B) $\mathrm{B}$
(C) $\overline{\mathrm{C}}$
(D) D

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 16, Problem 112

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Solved by Expert Ankur S

10/12/2021

Step 1

This is true because mutual induction is given by the square root of the product of the self-inductions of the two coils, represented as $\sqrt{L_1L_2}$, where $L_1$ and $L_2$ are the self-inductions of the two coils. Show more…

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Assertion: In the phenomenon of mutual induction, self-induction of each of the coil persists. Reason: Self-induction arises when strength of current in one coil changes. In mutual induction, current is changing in both the individual coils. (A) $\mathrm{A}$ (B) $\mathrm{B}$ (C) $\overline{\mathrm{C}}$ (D) D

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Key Concepts

Mutual Induction

Mutual induction is the phenomenon in which a change in current in one coil induces an electromotive force (EMF) in another nearby coil. This happens because the changing magnetic field produced by the first coil links with the second coil, thereby generating an EMF. It is a foundational concept in the operation of transformers and many electrical devices where energy transfer between circuits is required.

Self Induction

Self induction is the process whereby a changing current in a coil induces an EMF within the same coil. This occurs because the coil’s own changing magnetic field links with it, creating a back EMF that opposes the change in current. This counteracting voltage is essential in regulating the behavior of circuits and is a key factor in the design of inductors and other reactive components.

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