Revisiting Superposition with AC circuits $(2$ points$).$ We want to determine the voltage $v_o(t)$ in the circuit below. We are given that the frequency $$ of the current source is $=200ra\frac{d}{s}.$

a$)$ Draw the two circuits which result when we consider the current and voltage sources separately.

b$)$ Convert the circuits into frequency domain with phasors and impedances.

c$)$ Suppose the current source's current has the frequency $200ra\frac{d}{s}.$ Show that the steady state voltage $v_o(t)$ is given by

$v_o(t)=6cos(200t+53\mathrm{.}1)+6\mathrm{.}656cos(400t+123\mathrm{.}7)V$