Time dependence of electric current in an ac circuit is given by $I_{(t)} = 4 + 8 s i n w t$ , where $t$ is in second. Its effective value for one complete cycle, is

8 \sqrt{2} A

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2 \sqrt{3} A

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4 \sqrt{3} A

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8 \sqrt{3} A

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Solution

The correct option is A $8 \sqrt{2} A$
For

$I_{(t)} = 4 + 8 s i n w t$

The $r m s$ value of the current is $8 \sqrt{2} A$

This is the effective value in one complete cycle.

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