Question

The instantaneous values of alternating current and voltage in a circuit are i = \(\frac{1}{\sqrt2}\) = sin (100πt) A and V = \(\frac{1}{\sqrt2}\)sin (100πt + \(\frac{π}{3}\))V. The average power in watts consumed in the circuit is-

(a) \(\frac{1}{4}\)

(b) \(\frac{\sqrt3}{4}\)

(c) \(\frac {1}{2}\)

(d) \(\frac{1}{8}\)

Answer 1

Correct answer is (a) \(\frac{1}{8}\)