Question:
A series LCR circuit is designed to resonate at an angular frequency $\omega_{0}=10^{5} \mathrm{rad} / \mathrm{s}$. The circuit draws $16 \mathrm{~W}$ power from $120 \mathrm{~V}$ source at resonance. The value of resistance ' $R$ ' in the circuit is ________$\Omega$.
Solution:
At resonance
$\mathrm{P}=\frac{\mathrm{V}^{2}}{\mathrm{R}}$
$\mathrm{R}=\frac{\mathrm{V}^{2}}{\mathrm{P}}=\frac{(120)^{2}}{16}$
$=900 \Omega$
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