Question

For a series RLC circuit excited by a unit step voltage, Vc is __________

(a) 1 – e^-t/RC

(b) e^-t/RC

(c) e^t/RC

(d) 1

The question was asked in my homework.

Question is taken from Advanced Problems Involving Complex Circuit Diagram in chapter Network Theory and Complex Circuit Diagram of Network Theory

Answer 1

The correct choice is (a) 1 – e^-t/RC

Best explanation: At t = 0, Vc = 0 and at t = ∞, Vc = 1.

This condition can be satisfied only by (1 – e^-t/RC).