I need help with this electric circuit problem please

Question

anonymous · Answer

attachment

anonymous · Answer

I am not sure how to start to get the resistance

anonymous · Answer

I think it is safe to say that the voltage source, the resistor and the capacitance are on parallel? Therefore they would have the same voltage drop?

anonymous · Answer

I got it !!! :D First find the capacitance using the integral for voltage. Then use that capacitance to find the current through that branch using the current differential. Then do a KCL at a node to find the current through the resistor. Then r = v(t) / ir(t) , and find r at t=0 . AWESOME!

theeric · Answer

Wow, congrats! I didn't even think of integrals. I haven't gotten that in-depth into electronics.