The instantaneous values of alternating current and voltage in a circuit are i = \(\frac{1}{\sqrt{2}}\) sin( 100πt) A and v = \(\frac{1}{\sqrt{2}} \sin \left(100 \pi t+\frac{\pi}{3}\right) \mathrm{V}\) The average power in watts consumed in the circuit is
A. \(\frac{1}{4}\)
B. \(\frac{\sqrt{3}}{4}\)
C. \(\frac{1}{2}\)
D. \(\frac{1}{8}\)
Answer:D
The instantaneous values of alternating current and voltage in a circuit are i = \(\frac{1}{\sqrt{2}}\) sin( 100πt) A and v = \(\frac{1}{\sqrt{2}} \sin \left(100 \pi t+\frac{\pi}{3}\right) \mathrm{V}\) The average power in watts consumed in the circuit is
A. \(\frac{1}{4}\) B. \(\frac{\sqrt{3}}{4}\) C. \(\frac{1}{2}\) D. \(\frac{1}{8}\)