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Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80 µF, R - 40 Ω


(a) Determine the source frequency which drives the circuit in resonance.
(b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.
(c) Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.

1 Answer

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Best answer

L = 5H, C = 80 μF = 80 x 10-6 F;

R = 40Ω

(b) At resonance, impedance of LCR circuit is simply equal to R
∴ at resonance, Z = R = 40 Ω
The rms value of current at resonance frequency is,

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