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A coil has a self inductance of 10 Mh. W...

A coil has a self inductance of 10 Mh. What is the maximum magnitude of the induced e.m.f. in the coil when a current of I ` = 0.1 sin 200 t` ampere is sent through it ?

Text Solution

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Here, `L = 10 mH = 10^(-2) H`,
`e_(max) ?`
`I = 0.1 isn 200 t`
`e = L (d I)/(dt) = L (d)/(dt) (0.1 sin 200 t)`
`e = L xx 0.1 cos 200 t = max = 1`
`e_(max) = L xx 0.1 xx 1 xx 200 = 10^(-2) xx 1.0 xx 200`
`= 0.2 V`
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