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The current through an inductor of 1H is...

The current through an inductor of `1H` is given by `i =31 sin t`. Find the voltage across the inductor.

Text Solution

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`|e|=|L(/_\i)/(/_\t)|or |L(di)/(dt)|`
Here, `L=1H`
`and (di)/(dt) =3[sint+tcost]`
`:. |e|=3(tcost+sint)`
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Knowledge Check

  • If the current through an inductor of 2 H is given by I = t sin t A , then the voltage across the inductor is

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