In a series L C R circuit the frequency of a 10 V A C voltage source is adjusted in such a fashion that the reactance of the inductor measures 15 Ω and that of the capacitor 11 Ω . If R = 3 Ω , the potential difference across the series combination of L and C will be

Question

In a series L C R circuit the frequency of a 10 V A C voltage source is adjusted in such a fashion that the reactance of the inductor measures 15 Ω and that of the capacitor 11 Ω . If R = 3 Ω , the potential difference across the series combination of L and C will be, 8 V, 10 V, 22 V, 52 V

MARKS App · Accepted Answer

Reactance, Z = R 2 + X L – X C 2 Z = 3 2 + 15 - 11 2 = 5 ∴ I = V Z = 10 5 = 2 A ∴ V L = I X L = 2 × 15 = 30 V V C = I X C = 2 × 11 = 22 V but V L & V C are in opposite phase ⇒ net voltage of L & C = 30 - 22 = 8 V

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