At any instant t the values of voltage applied and the current through a series LCR circuit are given as: $V=\frac{1}{\sqrt{2}} \sin (100 \pi t) V$ $I=\frac{1}{\sqrt{2}} \sin (100 \pi t+\frac{\pi}{3}) A$ The average power consumed in the circuit is given by:

$\frac{1}{8} W$ $\frac{1}{4} W$ $\frac{1}{2} W$ $\frac{\sqrt{3}}{4} W$

$\frac{1}{8} W$

The correct answer is Option (1) → $\frac{1}{8} W$