First slide

AC Circuits

Question

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

Moderate

A

500 rad/sec
B

2 $\times$ 10⁵ rad/sec
C

4000 rad/sec
D

5000 rad/sec

Solution

Current will be maximum at the condition of resonance. So resonant frequency $ω_{0} = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{0 .5 \times 8 \times 10^{- 6}}} = 500 rad / s$

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