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