Question

The current flowing in the following circuit is?

(a) (V1(S)-LI0-V0/S)/(R+LS+1/CS)

(b) (V1(S)-LI0+V0/S)/(R+LS+1/CS)

(c) (V1(S)+LI0+V0/S)/(R+LS+1/CS)

(d) (V1(S)+LI0-V0/S)/(R+LS+1/CS)

This question was addressed to me during an online interview.

This question is from Series and Parallel Combination of Elements topic in chapter S-Domain Analysis of Network Theory

Answer 1

Right answer is (d) (V1(S)+LI0-V0/S)/(R+LS+1/CS)

For explanation: The current I(s) is given as the total transform voltage in the circuit divided by the total transform impedance. The current flowing in the circuit is I (s) = V(s)/I(s) = (V1(S)+LI0-V0/S)/(R+LS+1/CS).