a)
For half wave siniusoidal waveformiavg=imax2Form factor=1.57i=20sinωtimax=20Aiavg=202=10A\text{For half wave siniusoidal waveform}\\ i_{avg}=\dfrac{i_{max}}{2}\\ \text{Form factor}=1.57\\ i=20\sin\omega{t}\\ i_{max}=20A\\ i_{avg}=\dfrac{20}{2}=10A\\For half wave siniusoidal waveformiavg=2imaxForm factor=1.57i=20sinωtimax=20Aiavg=220=10A b)
i=30sinωtimax=30Aiavg=302=15Ai=30\sin\omega{t}\\ i_{max}=30A\\ i_{avg}=\dfrac{30}{2}=15A\\i=30sinωtimax=30Aiavg=230=15A
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