Q. 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 $rad/sec$
Explanation
(a) Current will be maximum at the condition of resonance. So resonant frequency $\omega_{0} = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{0.5 \times 8 \times 10^{- 6}}}$
$= 500\ rad/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.