Question

The equation of an alternating voltage is V =100 sin 100 $\pi$ t volt. Its peak value and frequency are

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

Answer 1

Answer: (A)

100 V, 50 Hz

The standard expression for an AC voltage is given by,

$v\left(t\right)=v_{m}sin\left(\omega t\right)$
Therefore by comparison we get,
V = 100 sin 100 $\pi$ t
Hence,

$V_m$ = 100 v;

$\omega$ = 100 $\pi$ = 2 $\pi$ f
f = 50 Hz.