If the peak value of AC current is 4.24A, what is its root mean square value?

It depends on the shape of the waveform.

If this is a ‘school-type’ question, and if nothing more is specified, you could presume they are asking you about a sine wave.

In the case of a sine wave, the RMS value is given by dividing the peak value by the square root of 2 (approx 1.4142)

So 4.24 / (sqrt 2) is approx 3 amps (2.998-odd)

But for any other non-sinusoidal waveform - and there is an infinite variety of those - the answer could be almost anything - from very close to zero, up to a maximum of just under, but arbitrarily close to, 4.24 amps.

 

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