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Question -

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



Answer -

At resonance, the frequency ofthe supply power equals the natural frequency of the given LCR circuit.

Resistance, R =20 Ω

Inductance, L =1.5 H

Capacitance, C =35 μF = 30 × 10−6 F

AC supply voltage to the LCR circuit, V =200 V

Impedance of the circuit is givenby the relation,

At resonance,

Current in the circuit can becalculated as:

Hence, the average powertransferred to the circuit in one complete cycle= VI

= 200 × 10 = 2000 W.

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