Question

This problem deals with the RC circuit shown to the right containing a resistor​ (R ohms), a capacitor​ (C farads), a​ switch, a source of​ emf, but no inductor. The differential equation for this circuit is given below.

R(dQ/dT)+1/c(Q)=E(t)

this is an equation for the charge Q(t) on the capacitor at time t. Note that I(t)=Q'(t). Use the values R=100, C=5.0x10^-4, Q(0)=0, and E(t)=100cos120t to find (a) and (b) below:

a: find Q(t) and I(t)

b: What is the amplitude of the​ steady-state current?

Answer 1