Question

In an a.c. circuit, containing an inductance and a capacitor in series, the current is found to be maximum when the value of inductance is 0.5henry and of capacitance is 8F. The angular frequency of the input A.C. Voltage must be equal to

• A. 0.5
• B. 0.1
• C. 1
• D. 0.3

Answer 1

The correct option is A 0.5

Maximum current flows through the series RLC circuit at resonance.
Given : $L=0.5H$ $C=8F$
Resonant angular frequency of the voltage $w_r=\frac{1}{\sqrt{LC}}$
$⟹w_r=\frac{1}{\sqrt{0.5\times 8}}=0.5$