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A series LCR circuit has resistance 30 ohm, inductive reactance 50…
Question
A series LCR circuit has resistance 30 ohm, inductive reactance 50 ohm and capacitive reactance 10 ohm. It is connected to a 200 V (rms) AC source. Find the average power (in watts) dissipated in the circuit.
✓ Verified answer: 480checked by our engine — not a guess
Step-by-step solution
Impedance Z = sqrt(R^2 + (XL - XC)^2) = sqrt(30^2 + 40^2) = sqrt(900+1600) = 50 ohm. Irms = V/Z = 200/50 = 4.0 A. Average power = Irms^2 R = 16 x 30 = 480 W.
Final answer480.0
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