The Total solution for NCERT class 6-12
A series LCR circuitwith R = 20 Ω, L = 1.5 H and C =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?
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.