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

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 \(1 – e^{-t/RC}\).