First slide

AC Circuits

Question

A series ac circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and $25 μF .$ If the current is maximum in circuit then angular frequency will be

Moderate

A

200
B

100
C

50
D

200/2 $π$

Solution

Current in LC circuit becomes maximum when resonance occurs. So
$ω = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{1 \times 25 \times 10^{- 6}}} = \frac{1000}{5} = 200 rad / \sec$

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