Question

The value of the voltage V in the circuit shown below is?

(a) 40(s+7.5)/s(s+5) – 12(s+7.5)/(s-5)

(b) 40(s+7.5)/s(s+5) – 12(s+7.5)/(s+5)

(c) 40(s+7.5)/s(s+5) + 12(s+7.5)/(s-5)

(d) 40(s+7.5)/s(s+5) + 12(s+7.5)/(s+5)

The question was posed to me in an online quiz.

This is a very interesting question from The Impulse Function in Circuit Analysis topic in division Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Correct choice is (d) 40(s+7.5)/s(s+5) + 12(s+7.5)/(s+5)

For explanation I would say: Solving for V yields V=40(s+7.5)/s(s+5) + 12(s+7.5)/(s+5). The current in the 3H inductor at t = 0 is 10A and the current in 2H inductor at t = 0 is zero.