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Calculate the value of the frequency if the capacitive reactance is 13 Ω and the value of the capacitor is 71 F.

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Calculate the value of the frequency if the capacitive reactance is 13 Ω and the value of the capacitor is 71 F.

(a) .0001725 Hz

(b) .0001825 Hz

(c) .0001975 Hz

(d) .0001679 Hz

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This key question is from DC Motors in division Characteristics of DC & AC Motors of Electric Drives

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The correct answer is (a) .0001725 Hz

For explanation: The frequency is defined as the number of oscillations per second. The frequency can be calculated using the relation Xc=1÷2×3.14×f×C. F=1÷Xc×2×3.14×C = 1÷13×2×3.14×71 = .0001725 Hz.

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