Question

For the circuit given below, the value of input frequency which is required to cause a gain equal to 1.5 is _____________

(a) 20 rad/s

(b) 20 Hz

(c) 10 rad/s

(d) No such value exists

This question was addressed to me at a job interview.

Question is taken from Advanced Problems on Magnetically Coupled Circuits topic in section Resonance & Magnetically Coupled Circuit of Network Theory

Answer 1

The correct option is (d) No such value exists

Easiest explanation: H (ω) = \(\frac{V_O}{V_i}\)

 = \(\frac{1}{1+jωRC}\)

∴ Gain = \(\frac{1}{\sqrt{1 + ω^2 RC}}\)

For any value of ω, R and C gain is ≤ 1.