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Question

Question: An ac circuit consists of an inductor of inductance 0.5 H and a capacitor of capacitance 8 μF in ser...

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

A

500 rad/sec

B

2 × 105 rad/sec

C

4000 rad/sec

D

5000 rad/sec

Answer

500 rad/sec

Explanation

Solution

Current will be maximum at the condition of resonance. So resonant frequency

ω0=1LC=10.5×8×106\omega_{0} = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{0.5 \times 8 \times 10^{- 6}}}= 500 rad/s