Question

A $2$ $F$ capacitor is initially charged to $20$ $V$ and then shorted across a $5$ $mH$ inductor. The angular frequency of oscillation is.

• A. $1000$ $rad/s$
• B. $100$ $rad/s$
• C. $10000$ $rad/s$
• D. $10$ $rad/s$

Answer 1

The correct option is D $10$ $rad/s$

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

${\omega }_o=\frac{1}{\sqrt{2\times 5\times {10}^{-3}}}$

${\omega }_o=10$ $rad/sec$