Alternating Current

A series LCR circuit with R = 20 Ω, L = 1.5 H and C = 35 µF is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

The given data can be listed as,

R = 20 Ω

L = 1.5 H

C = 35 µF

RMS V = 200 Volt

To find - Average Power = ?

When the frequency of the ac is equal to natural frequency of the circuit, therefore the impedance ,

Z = R = 20 Ω

Average power dissipated per cycle ,

$https://latex.codecogs.com/svg.image?P_{av} =\frac{V_{rms}^{2}}{R}$

$https://latex.codecogs.com/svg.image?P_{av} = \frac{200^{2}}{20} = 2000 Watt$

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