question_answer

A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to AC power source of voltage \[{{\varepsilon }_{0}}\,\sin \,\omega t\]. The maximum current through the resistance is half of the maximum current through the power source. Then value of R is

A) \[\frac{\sqrt{3}}{\left| \left. \omega C-\frac{1}{\omega L} \right| \right.}\]  

B) \[\sqrt{3}\left. \left| \frac{1}{\omega C}-\omega L \right. \right|\]

C) \[\sqrt{5}\left. \left| \frac{1}{\omega C}-\omega L \right. \right|\]

D)        None of these