An RLC series circuit has R 940 L 135 mH and C 280 F W

An RLC series circuit has R = 940 , L = 13.5 mH , and C = 280 F .

What\'s its resonance frequency?

Express your answer with the appropriate units.

If the circuit is connected to a 130 V rms power source at the resonance frequency, what\'s the average power consumption?

Express your answer with the appropriate units.

Solution

Wl= Wc ( for the resonance frequency)

2pifL = 1/ 2pifC

f^2= 1/ ( 4pi^2 LC)

f = 1/ 2pi sqroot (LC) = 1/( 2x 3.14 x sqroot [280x 10^-6 x13.5 x 10^-3)= 10^3 / (12.21) =81.9 Hz apprx

Irms= V/rms/ Z= 130/ 940 =0.138 A

P= VI = 130 (0.138)= 18 watts


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