Question

What will be the equation of alternating current of frequency $75Hz$ if its $RMS$ Value is $20ampere?$

• A. $I=20\sin \left(150\pi t\right)$
• B. $I=20\sqrt{2}\sin \left(150\pi t\right)$
• C. $I=\frac{20}{\sqrt{2}}\sin \left(150\pi t\right)$
• D. $I=20\sqrt{2}\sin \left(75\pi t\right)$

Answer 1

The correct option is B $I=20\sqrt{2}\sin \left(150\pi t\right)$

Peak value $=\sqrt{2}$ rms value

$\omega =2\pi frequency=150\pi$

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