Physics · Reactance and impedance, LCR series circuit, resonance, power in AC circuits, wattless current
In series LCR circuit and impedance is . An r.m.s. voltage is applied across the
In series LCR circuit \( R=18 \Omega \) and impedance is \( 33 \Omega \). An r.m.s. voltage \( 220 V \) is applied across the circuit. The true power consumed in a.c. circuit is
- A. \( 200 W \)
- B. \( 400 \mathrm{W} \)
- C. \( 600 W \)
- D. \( 800 W \)
Step-by-step solution
True power in an AC circuit is given by P = V_rms^2 * R / Z^2. Substituting V_rms = 220 V, R = 18 Ω, Z = 33 Ω, we get P = (220^2 * 18) / (33^2) = (48400 * 18) / 1089 = 871200 / 1089 = 800 W.
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