A 100 V AC source of frequency 500 H z is connected to a LCR circuit with L = 8.1 mH , C = 12 .5 μF and R = 10 Ω , all connected in series. The potential difference across the resistance is

Question

A 100 V AC source of frequency 500 H z is connected to a LCR circuit with L = 8.1 mH , C = 12 .5 μF and R = 10 Ω , all connected in series. The potential difference across the resistance is, 100 V, 200 V, 300 V, 400 V

MARKS App · Accepted Answer

Z = R 2 + X L - X C 2 Here X L = 2 π f L = 2 × 3.14 × 500 × 8.1 × 1 0 - 3 = 25.4 Ω and X C = 1 2 π f C = 1 2 × 3.14 × 500 × 12.5 × 1 0 - 6 = 25.4 Ω ∴ Z = 10 2 + 25.4 - 25.4 2 = 10 Ω Now i r m s = E r m s Z = 100 10 = 10 A ∴ V R = i r m s × R = 10 × 10 = 100 V

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