Question

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 Ω

The 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 1

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.