Question

In the figure given below, the time constant of the circuit is ______________

(a) 2RC

(b) 3RC

(c) \(\frac{RC}{2}\)

(d) \(\frac{2RC}{3}\)

I have been asked this question in exam.

Asked question is from Advanced Problems on Magnetically Coupled Circuits topic in chapter Resonance & Magnetically Coupled Circuit of Network Theory

Answer 1

Correct option is (d) \(\frac{2RC}{3}\)

The best I can explain: The simplified circuit is:

Resistance faced by C with the source shorted,

REQ = \(\frac{R × 2R}{3R} = \frac{2R}{3}\)

Time constant of the circuit, τ = REQ × C

= \(\frac{2R}{3} × C = \frac{2}{3}\) RC.