This should be a simple analysis. I am analyzing a parallel RC circuit, with a DC voltage source. I have not yet studied AC analysis. The circuit looks like this:
_________ | | | V R C | | | |____|____|
V is really V*u(t), so the voltage is turned on at t=0.
I want to calculate Vc and Vr. On one hand, Vc and Vr should be the same, as they are in parallel. On the other hand, Vc cannot jump to voltage V instantaneously. I have not been able to set up the differential equation to get a solution with any time-varying behavior at the capacitor.
Thanks for any help, especially with setting up the equation to get this right.