A resistor of resistance \( R \), a capacitor of capacitance \( C \) and an inductor of inductan...

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A resistor of resistance \( R \), a capacitor of capacitance \( C \) and an inductor of inductance \( L \) are connected in parallel to an \( A C \) 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, the value of \( R \) is
(a) \( \frac{\sqrt{3}}{\left|\omega C-\frac{1}{\omega L}\right|} \)
(b) \( \sqrt{3}\left|\frac{1}{\omega C}-\omega L\right| \)
(c) \( \sqrt{5}\left|\frac{1}{\omega C}-\omega L\right| \)
(d) \( \sqrt{2}\left|\omega C-\frac{1}{\omega L}\right| \)
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