Question

Determine the voltage V after taking the inverse transform (12 + 60/s + 10/(s+5)).

(a) 12δ(t)-(60-10e^-5t)u(t)

(b) 12δ(t)+(60+10e^-5t)u(t)

(c) 12δ(t)-(60+10e^-5t)u(t)

(d) 12δ(t)+(60-10e^-5t)u(t)

This question was addressed to me in examination.

I'm obligated to ask this question of The Impulse Function in Circuit Analysis topic in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Right option is (b) 12δ(t)+(60+10e^-5t)u(t)

To explain I would say: By taking inverse transform of V = 12+60/s+10/(s+5) we have v=12δ(t)+(60+10e^-5t)u(t) volts and we have to derive the expression for the current when t > 0.