$10\mathrm{.}20$ The voltage $\backslash (\backslash$mathbf$\{$V$\}\_\{$g$\}\backslash )$ in the frequency$-$domain circuit shown in Fig. P$10\mathrm{.}20$ is $\backslash (340/0^\{\backslash$circ$\}\backslash$mathrm$\{$V$\}\backslash )($rms$).$

a$.$ Find the average and reactive power for the voltage source.

b$.$ Is the voltage source absorbing or delivering average power?

c$.$ Is the voltage source absorbing or delivering magnetizing vars?

d$.$ Find the average and reactive powers associated with each impedance branch in the circuit.

e$.$ Check the balance between delivered and absorbed average power.

f$.$ Check the balance between delivered and absorbed magnetizing vars.

Figure P$10\mathrm{.}20$