Problem B$9\mathrm{.}28.$ Find the steady$-$state expression for $i_o(t)$ in the circuit in Figure $1$ if $v_s=80cos2000tV.$

Figure $1$: Circuit for Problem B$9\mathrm{.}28$

Problem B$10\mathrm{.}01.$ The following sets of values for $v$ and i pertain to the circuit seen in Figure $4.$ For each set of values, calculate $P$ and $Q$ and state whether the circuit inside the box is absorbing or delivering $(1)$ averaging power and $(2)$ magnetizing vars.

$v=18cos(t+30)$

$i=5cos(t-75)$

Figure $4$: Circuit for Problem B$10\mathrm{.}01$

Apparent power $S=\sqrt[\phantom{2}]{(\text{E}\text{f}\text{f}\text{e}\text{c}\text{t}\text{i}\text{v}\text{e}\text{p}\text{o}\text{w}\text{e}\text{r}P{)}^2+(\text{R}\text{e}\text{a}\text{c}\text{t}\text{i}\text{v}\text{e}\text{p}\text{o}\text{w}\text{e}\text{r}Q{)}^2}$

Problem B$10\mathrm{.}05.$ Find the average power delivered by the idel current source in the circuit in Figure $??$ if $i_g=4cos5000$tmA.

Figure $5$: Circuit for Problem B$10\mathrm{.}05$