Question

What will be the equation of AC of frequency $75Hz$ if its rms value is $20A$?

Answer 1

Given,

$i_{rms}=20A$

Frequency $f=75Hz$

Peak current, $i_o=i_{rms}\sqrt{2}=20\sqrt{2}A$

$i=i_o\sin \left(\omega t\right)$

$i=i_o\sin \left(2\pi ft\right)$

$i=20\sqrt{2}\sin (2\pi \times 75t)$

$i=20\sqrt{2}\sin \left(150\pi t\right)$

Therefore, the correct equation for the AC current will be $20\sqrt{2}sin\left(150\pi t\right)$.