Question

A condenser of capacity $20\mu F$ is first charged and then discharged through a $10mH$ inductance. Neglecting the resistance of the coil, the frequency of the resulting vibrations will be

• A. $356$ cycle/s
• B. $35.6$ cycle/s
• C. $356\times {10}^3$ cycle/s
• D. $3.56$ cycle/s

Answer 1

Answer: (A)

$356$ cycle/s

The frequency of the resulting vibrations is given as,

$f=\frac{1}{2\pi \sqrt{LC}}$

$f=\frac{1}{2\pi \sqrt{10\times {10}^{-3}\times 20\times {10}^{-6}}}$

$f=356cycle/s$