Question

At what frequency will a coil, which has an inductance of 2.5 H, have a reactance of 3500 Ω?

(a) 700Hz

(b) 350 Hz

(c) 200 Hz

(d) 223 Hz

I had been asked this question in semester exam.

The above asked question is from AC Voltage Applied to an Inductor in portion Alternating Current of Physics – Class 12

Answer 1

Right choice is (d) 223 Hz

The explanation: f = \(\frac {X_L}{2\pi L}\)

f = \(\frac {3500}{(2 \times 3.14 \times 2.5)}\)

f = 222.9 Hz ≈ 223 Hz

Therefore, the frequency of a coil having reactance of 3500 Ω is 223 Hz.