1. The problem statement, all variables and given/known data I am given an RC circuit with an alternating current. The circuit contains a capacitor and a resistor in parallel. Part (a) says "Use KCL to find a differential equation for I in terms of V." Part (b) says "For an applied voltage V = Voexp(iwt), find the current I." 2. Relevant equations ITotal = I1 + I2 Z = impedance ZR = R ZC = (1/wiC) V = IZ 3. The attempt at a solution I understand how KCL works, but I'm not sure how to get it in a differential equation. Ignoring this and using KCL anyway, I get: V - I1ZR = V - I1R = 0 V - I2ZC = V - I2(1/iwC) = 0 I1 = ViwC I2 = (V/R) ITotal = ViwC + (V/R) Am I on the right track, or does the fact that I need a differential equation mean I need to do something completely different?