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Question

A square wave current, switching rapidly between +0.5A and -0.5A, is passed through an AC ammeter. The reading shown by ammeter is.


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Solution

Given:

A square wave current, switching rapidly between +0.5A and -0.5A.

Step 1: Formula

We need to find the RMS Power

Formula: PowerdPdt=Irms2R

Step2: Calculation

P=0TIrms2Rdt

P=0T/2Irms2Rdt+T/2TIrms2Rdt

P=0T/2(0.5)2Rdt+T/2T(-0.5)2Rdt

P=0.25R[T]0T/2+0.25R[T]T/2T

P=0.25RT

Irms2RT=0.25RT

Irms=0.5Amp

⇒ The reading shown by the ammeter is 0.5Amp


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