Question

An ac circuit consists of an inductor of inductance 0.5 H and a capacitor of capacitance $8\mu F$ in series. The current in the circuit is maximum when the angular frequency of ac source is

• A. 500 rad/sec
• B. $2\times {10}^{5}rad/sec$
• C. 4000 rad/sec
• D. 5000 rad/sec

Answer 1

The correct option is A 500 rad/sec

Current will be maximum at the condition of resonance. So resonant frequency
${\omega }_0=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{0.5\times 8\times {10}^{-6}}}=500rad/s$