Question

From the circuit shown below, find the value of current in the loop.

(a) (V/R)/(s+1/RC)

(b) (V/C)/(s+1/R)

(c) (V/C)/(s+1/RC)

(d) (V/R)/(s+1/R)

This question was posed to me in an international level competition.

My question is based upon Circuit Elements in the S-Domain topic in portion Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

The correct choice is (a) (V/R)/(s+1/RC)

To explain I would say: Applying Kirchhoff’s law around the loop, we have V/s=1/sC I+RI. Solving above equation yields I=CV/(RCS+1)=(V/R)/(s+1/RC).