Question

The voltage across the resistor in the circuit shown below is?

(a) Ve^t/R

(b) Ve^-t/RC

(c) Ve^-t/R

(d) Ve^t/RC

The question was asked in an international level competition.

My question is from Circuit Elements in the S-Domain in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

The correct option is (b) Ve^-t/RC

For explanation I would say: We can determine the voltage v by simply applying the ohm’s law from the circuit. And applying the Ohm’s law from the circuit v = Ri = Ve^-t/RC.