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What Are the Values of the Self-induced Emf in the Circuit of the Previous Problem at the Times Indicated Therein?

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Question

What are the values of the self-induced emf in the circuit of the previous problem at the times indicated therein?

Sum
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Solution

Given:-

Self-inductance, L = 1 H

For an inductor of self-inductance L, the emf induced is given by

`e = L(di)/(dt)`


(a) At t = 100 ms,

`(di)/(dt)=0.27"A/s"`

∴ Induced emf, `e = L(di)/(dt)=1xx0.27=0.27 V`


(b) At t = 200 ms,

`(di)/(dt)=0.036"A/s"`

∴ Induced emf `= L(di)/(dt)=1xx0.036=0.036V`


(c) At t = 1 s,

`(di)/(dt)=4.1xx10^-9"A/s"`

∴ Induced emf `=L(di)/(dt)=4.1xx10^-9V`

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Chapter 38: Electromagnetic Induction - Exercises [Page 312]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 38 Electromagnetic Induction
Exercises | Q 76 | Page 312

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