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Calculate the value of the frequency if the inductive reactance is 72 Ω and the value of the inductor is 7 H.

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Calculate the value of the frequency if the inductive reactance is 72 Ω and the value of the inductor is 7 H.

(a) 1.63 Hz

(b) 1.54 Hz

(c) 1.78 Hz

(d) 1.32 Hz

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Question is from Speed Control of Series Motor topic in section Speed Control of Direct Current Motors & Induction Motors of Electric Drives

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The correct option is (a) 1.63 Hz

Explanation: The frequency is defined as the number of oscillations per second. The frequency can be calculated using the relation XL = 2×3.14×f×L. F = XL÷2×3.14×L = 72÷2×3.14×7 = 1.63 Hz.

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