Q$7.$ A voltage source $v(t)=200sint$ in series with an impedance of $Z=\frac{10}{{?}_{-}}{36\mathrm{.}87}^0$ is supplying two loads $Z_A$ and $Z_B$ in parallel, where $Z_A=\frac{40}{{?}_{30}}$ and $Z_B=\frac{30}{{?}_{40}}.$ Find the average power delivered to $Z_A,$ and the average power delivered to $Z_B,$ the average power dissipated in the circuit and the power factor of the circuit.

Ans :$-$ pf $=0\mathrm{.}983,P_{\text{a}\text{v}\text{g}}$ delivered to $Z_A=256\mathrm{.}3W,P_{\text{a}\text{v}\text{g}}$ delivered to $Z_B=303\mathrm{.}07W,P_{\text{a}\text{v}\text{g}}$ delivered to $Z=320\mathrm{.}55W,P_{\text{a}\text{v}\text{g}}$ dissipated in circuit $P=879\mathrm{.}92W$