In a series LCR circuit with an A C source R = 300 Ω , C = 20 μ F , L = 1 H , E r m s = 50 V and f = 50 π H z . The potential difference across the capacitor is -

Question

In a series LCR circuit with an A C source R = 300 Ω , C = 20 μ F , L = 1 H , E r m s = 50 V and f = 50 π H z . The potential difference across the capacitor is -, 50 V, 50 2 V, 40 V, 40 2 V

MARKS App · Accepted Answer

X C = 1 C ω = 1 20 × 1 0 - 6 × 2 π × 50 π = 500 Ω X L = L ω = L × 2 π × 50 π = 100 Ω I r m s = E r m s Z = 50 R 2 + X C - X L 2 = 50 300 2 + 500 - 100 2 = 50 500 = 1 10 A V C = I r m s × X C = 1 10 × 500 V = 50 V

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