An inductor of reactance $100 \Omega$, a capacitor of reactance $50 \Omega$, and a resistor of resistance $50 \Omega$ are connected in series with an AC source of 10 V , 50 Hz. Average power dissipated by the circuit is ________ W.

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Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{P}=\mathrm{V}_{\mathrm{rms}} \mathrm{I}_{\mathrm{rms}} \cos \phi \ & \mathrm{P}=\mathrm{V}_{\mathrm{rms}} 	imes \frac{\mathrm{V}_{\mathrm{rms}}}{\mathrm{z}} 	imes \frac{\mathrm{R}}{\mathrm{z}} \ & \mathrm{P}=\mathrm{V}_{\mathrm{rms}}^2 	imes \frac{\mathrm{R}}{\mathrm{z}^2} \ & \mathrm{z}=\sqrt{\mathrm{R}^2+\left(\mathrm{x}_{\mathrm{L}}-\mathrm{x}_{\mathrm{C}}ight)^2} \ & \mathrm{Z}=50 \sqrt{2} \Omega \ & \mathrm{P}=100 	imes \frac{50}{2500 	imes 2}=1 \mathrm{~W}\end{aligned}$

An inductor of reactance $100 \Omega$, a capacitor of reactance $50 \Omega$, and a resistor of resistance…

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