(a) A voltage $v(t)=10 \sin w t$ is applied to a series RLC circuit. At the resonant frequency of the circuit, the voltage across capacitor is found to be 500 V . The band width is $400 \mathrm{rad} / \mathrm{sec}$, and the impedance at resonance is $100 \Omega$. Find the resonant frequency. Also find the values of $L$ and $C$ of the circuit. 6
Explanation
The resonant frequency is calculated using the formula $f_{r} = \frac{1}{2 \pi \sqrt{LC}}$. The values of $L$ and $C$ are calculated using the formulas $L = \frac{Z_{L}}{\omega}$ and $C = \frac{1}{\omega Z_{C}}$.
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