Electromagnetic Induction and Alternating Current: Average Power in LCR MCQ

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Average Power in LCRHardQuestion 20250

Question

A series LCR circuit has R = 10 Ω, Z = 50 Ω, and is powered by V_rms = 100 V. Average power is:

A
200 W
B
40 W
Correct
C
400 W
D
1000 W

Correct answer

40 W

Explanation

Power factor = R/Z = 10/50 = 0.2. I_rms = V_rms/Z = 100/50 = 2 A. P = V_rms I_rms cosφ = 100 × 2 × 0.2 = 40 W. Alternatively P = I_rms² R = 4 × 10 = 40 W.

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