Question

An experimentalist has a coil of 3 mH. He wants to make a circuit whose frequency is 106 Hz. The capacity of condenser used will be

• A. $752.22\mu F$
• B. $852.22\mu F$
• C. $950.22\mu F$
• D. zero

Answer 1

The correct option is A $752.22\mu F$

Circuit has to work properly at resonance therfore,

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

$C=\frac{1}{{\omega }^{2}L}$

$C=\frac{1}{4{\pi }^2{f}^{2}L}$

$C=\frac{1}{4{\pi }^2\times {106}^2\times 3\times {10}^{-3}}$

$C=752.22\mu F$