RLC Circuits and Resonance - Technical MCQs

Q1:

What is the true power consumed in a 30 V series RLC circuit if Z = 20 ohms and R = 10 ohms?

A 15.0 watts

B 22.5 watts

C 30.0 watts

D 45.0 watts

ANS:B - 22.5 watts

G = Re(Z) = R/Z^2 = 0.025 Ohm;

Active power dissipates only on active resistance (conductivity)
P = U^2G = 30^2 * 0.025 = 22.5 W.