Electromagnetic Induction and Alternating Current: AC Circuit — Phase Analysis MCQ

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AC Circuit — Phase AnalysisHardQuestion 20240

Question

In a series RLC circuit, if voltage across R is 30 V, across L is 70 V, and across C is 30 V, the supply voltage is:

A
130 V
B
70 V
C
30 V
D
50 V
Correct

Correct answer

50 V

Explanation

V_L and V_C are in antiphase. Net reactive voltage = |V_L − V_C| = 70 − 30 = 40 V. Supply V = √(V_R² + (V_L − V_C)²) = √(30² + 40²) = √(900 + 1600) = √2500 = 50 V.

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