Question

A 1 μF capacitor is connected across a 50 V battery. The battery is kept closed for a long time. The circuit current and voltage across capacitor is __________

(a) 0.5 A and 0 V

(b) 0 A and 50 V

(c) 20 A and 5 V

(d) 0.05 A and 5 V

The question was posed to me in final exam.

Origin of the question is Calculation of I(0+), di/dt(0+), d2I/dt2(0+) in Circuits Involving both Capacitor and Inductor in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Correct option is (b) 0 A and 50 V

For explanation I would say: We know that, when the capacitor is fully charged, it acts as an open circuit.

That is when the capacitor is fully charged.

So, the circuit current and voltage across capacitor are 0 A and 50 V respectively.