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

Answer: (A)

Current will be maximum at the condition of resonance.
So resonant frequency, $ \omega_{0}=\frac{1}{\sqrt{L C}}$
$ =\frac{1}{\sqrt{0.5 \times 8 \times 10^{-6}}} $
$ =500$ rad/s