Question

A capcitor of capacitance $25\mu F$ is charged to $300V$. It is then connected across a $10mH$ inductor. What is the frequency of oscillation of the circuit? The resistance of the circuit is negligible

• A. $\frac{1000}{\pi }Hz$
• B. $\frac{1000}{\sqrt{3}}Hz$
• C. $\frac{100}{\pi }Hz$
• D. $\frac{100}{\sqrt{2}}Hz$

Answer 1

The correct option is A $\frac{1000}{\pi }Hz$


Frequency of oscillation of the circuit is given by
$f=\frac{1}{2\pi \sqrt{LC}}$
$=\frac{1}{2\pi \sqrt{{10}^{-2}mH\times 25\times {10}^{-6}}}$
$=\frac{1}{2\pi \sqrt{25\times {10}^{-8}}}$
$=\frac{{10}^3}{\pi }Hz$