Question

The voltage and current in a capacitor are related as?

(a) i=Cdt/dv

(b) v=Cdv/dt

(c) i=Cdv/dt

(d) v=Cdt/dv

This question was addressed to me in class test.

My doubt stems from Circuit Elements in the S-Domain in portion Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Right choice is (c) i=Cdv/dt

The best explanation: Consider an initially charged capacitor and the initial voltage on the capacitor is Vo. The voltage current relation in the time domain is i=Cdv/dt.