The heat produced in a given resistance in a given time by the sinusoidal current I 0 sin- t will be the same as that of a steady current of magnitude nearly

The correct option is A 0.71I_0 I_rms =I_0/√(2)=0.707 I_0 . ...

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Byju's Answer

Standard XII

Physics

AC Applied to a Resistor

The heat prod...

Question

The heat produced in a given resistance in a given time by the sinusoidal current $I_{0} sin ω t$ will be the same as that of a steady current of magnitude nearly

0.71 I_{0}

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1.412 I_{0}

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I_{0}

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{\sqrt{I}}_{0}

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Solution

The correct option is A $0.71 I_{0}$
$I_{r m s} = \frac{I_{0}}{\sqrt{2}} = 0.707 I_{0}$
.

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The figure shows current varying with time. The magnitude of constant direct current for a particular time which would produce same heat in identical resistance as produced by given varying current in the seconds.

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The heat produced in a given resistance in a given time by the sinusoidal current I0sinωt will be the same as that of a steady current of magnitude nearly

The correct option is A 0.71I0Irms=I0√2=0.707I0.

The heat produced in a given resistance in a given time by the sinusoidal current $I_{0} sin ω t$ will be the same as that of a steady current of magnitude nearly

The correct option is A $0.71 I_{0}$
$I_{r m s} = \frac{I_{0}}{\sqrt{2}} = 0.707 I_{0}$
.