First slide

Phasors and Phasor Diagrams

Question

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

Easy

A

200 rad/s
B

100 rad/s
C

50 rad/s
D

$200 / 2 π rad / s$

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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