WBJEE · Physics · Alternating Current
A parallel plate capacitor in series with a resistance of \(100 \Omega\), an inductor of \(20 \mathrm{mH}\) 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 cach plate of the capacitor?
- A \(0.2 \mu C\)
- B \(2 \mathrm{mC}\)
- C \(0.2 \mathrm{mC}\)
- D \(0.2 \mathrm{C}\)
Answer & Solution
Correct Answer
(C) \(0.2 \mathrm{mC}\)
Step-by-step Solution
Detailed explanation
In given, Series \(R-L-C\) circuit Resistance \(R=100 \Omega\) Inductance of Inductor, \(L=20 \mathrm{mH}=20 \times 10^{-3} \mathrm{H}\) Resonance frequency \(f=\frac{1250}{\pi} \mathrm{Hz}\) Source voltage \(V_{D C}=25 \mathrm{V}\) According to resonant frequency.…
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