The instantaneous values of alternating current and voltages in a \...

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The instantaneous values of alternating current and voltages in a
\( \mathrm{P} \) circuit are given as

W
\[
\begin{aligned}
i & =\frac{1}{\sqrt{2}} \sin (100 \pi \mathrm{t}) \text { ampere } \\
\mathrm{e} & =\frac{1}{\sqrt{2}} \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)
\end{aligned}
\]
The average power in watts consumed in the circuit is:
(2012 Mains)
a. \( 1 / 4 \)
b. \( \frac{\sqrt{3}}{4} \)
c. \( 1 / 2 \)
d. \( 1 / 8 \)
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