Question

Consider the circuit shown below. On applying the Kirchhoff’s current law, the equation will be?

(a) V/(2s-15)+(V-[(100/s)+30])/(3s+10)=0

(b) V/(2s-15)+(V-[(100/s)+30])/(3s-10)=0

(c) V/(2s+15)+(V-[(100/s)+30])/(3s+10)=0

(d) V/(2s+15)+(V-[(100/s)+30])/(3s-10)=0

The question was posed to me in final exam.

The doubt is from The Impulse Function in Circuit Analysis in section Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Correct option is (c) V/(2s+15)+(V-[(100/s)+30])/(3s+10)=0

Best explanation: The current in the 3H inductor at t = 0 is 10A and the current in 2H inductor at t = 0 is zero. Applying Kirchhoff’s current law, we get V/(2s+15)+(V-[(100/s)+30])/(3s+10)=0.