Question

The equation of an alternating voltage is $V=100\sqrt{2}\sin 100\pi t$ volt. The RMS value of voltage and frequency will be respectively

• A. $100V,50Hz$
• B. $50V,100Hz$
• C. $150V,50Hz$
• D. $200V,50Hz$

Answer 1

The correct option is A $100V,50Hz$

Angular frequency is nothing but $coefficient$ of $t$ in the equation,

so we have $\omega =100\pi$ or $2\pi f=100\pi$, we get $f=50Hz$

rms voltage is $\frac{\text{peak voltage}}{\sqrt{2}}=100\sqrt{2}/\sqrt{2}=100V$.

Option A is correct.