This problem deals with the RC circuit shown to the rightcontaining a resistor? (R ohms), a capacitor? (C farads), a?switch, a source of? emf, but no inductor. The differentialequation 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 timet. 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?
