An RLC series circuit is powered by a 120-V, 60-Hz supply. It contains a capacitor that has an X_L of 50 Ω . What is the capacitance of the capacitor? A) 53.05 μ F B) 106.1 μ F C) 132.63 mF D) 265.25mF

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Quizplus · Accepted Answer

The correct answer is A.The inductive reactance (XL) of a capacitor is given by the formula:XL = 1 / (2 * pi * f * C)where:XL is the inductive reactance in ohmsf is the frequency in hertzC is the capacitance in faradsIn this problem, we are given that XL = 50 ohms, f = 60 Hz, and V = 120 V. We can use the formula above to solve for C:C = 1 / (2 * pi * f * XL)C = 1 / (2 * pi * 60 Hz * 50 ohms)C = 53.05 μFTherefore, the capacitance of the capacitor is 53.05 μF.

An RLC Series Circuit Is Powered by a 120-V, 60-Hz