Question

A $200F$ capacitor is initially charged to $20V$ and then shorted across a $5mH$ inductor. The angular frequency of oscillation is

• A. $1000rad/s$
• B. $100rad/s$
• C. $10000rad/s$
• D. $1rad/s$

Answer 1

Answer: (D)

$1rad/s$

Given,

$L=5mH=5\times {10}^{-3}H$

$C=200F$

The angular frequency in LC oscillation is given by

$\omega =\frac{1}{\sqrt{LC}}$

$\omega =\frac{1}{\sqrt{5\times {10}^{-3}\times 200}}=1rad/sec$