1. Tardigrade
  2. Question
  3. Physics
  4. A parallel plate capacitor in series with a resistance of 100 W, an inductor of 20 mH and an AC voltage source of variable frequency shows resonance at a frequency of (1250/π)HZ. If this capacitor is charged by a DC voltage source to a voltage 25 V, what amount of charge will be stored in each plate of the capacitor?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A parallel plate capacitor in series with a resistance of 100 W, an inductor of 20 mH and an AC voltage source of variable frequency shows resonance at a frequency of $\frac{1250}{\pi}HZ.$ If this capacitor is charged by a DC voltage source to a voltage 25 V, what amount of charge will be stored in each plate of the capacitor?

WBJEEWBJEE 2019Alternating Current

Solution:

$\omega_{0} =2\pi f_{0} =\frac{1}{\sqrt{LC}} \Rightarrow 4\pi^{2}\times\frac{1250\times1250}{\pi^{2}} =\frac{1}{20\times10^{-3}\times c}$
$\therefore C=\frac{1000}{20\times4\times1250\times1250} =8\times10^{-6}F$
$| Q_{ss} =CV =8\times10^{-6} \times25 =0.2mc$