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Question

If an emf of $$25 V$$ is induced when the current in the coil changes at the rate of $$100\ As^{-1}$$, then the coefficient of self induction of the coil is


A
0.3 H
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B
0.25 H
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C
2.5 H
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D
0.25 mH
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Solution

The correct option is A $$0.25\ H$$
Rate of change of current, $$\dfrac{di}{dt} = 100$$ $$As^{-1}$$
Magnitude of emf induced in the coil, $$|\mathcal{E}| = 25$$ V
Using: $$|\mathcal{E}| = L\dfrac{di}{dt}$$      where $$L$$ is the coefficient of self inductance
$$\implies$$  $$25 = L\times 100$$          
$$\implies$$  $$L = 0.25$$ $$H$$

Physics

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