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What will be the reactance of a capacitor at 150 Hz, if it has a reactance of 200 Ω at 50 Hz?(a) 67 Ω(b) 40 Ω(c) 150 Ω(d) 60 ΩThe question was asked by my college director while I was bunking the class.I need to ask this question from AC Voltage Applied to a Capacitor topic in section Alternating Current of Physics – Class 12

Answer»

The CORRECT choice is (a) 67 Ω

The explanation is: \(\FRAC {X_C^{’}}{X_C} =\frac {F}{f^{’}}\)

Xc = \(\frac {(50 \TIMES 200)}{(150)}\)

Xc = 66.7 Ω ≈ 67 Ω

Therefore, the reactance at 150 Hz will be 67 Ω.



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