P $11\mathrm{.}6-7$ A motor connected to a $220-$V supply line from the power company has a current of $7\mathrm{.}6$ A$.$ Both the current and the voltage are rms values. The average power delivered to the motor is $1317$ W$.($a$)$ Find the apparent power, the reactive power, and the power factor when o $377$ rad$/$s$.($b$)$ Find the capacitance of a parallel capacitor that will result in a unity power factor of the combination. $($c$)$ Find the current in the utility lines after the capacitor is installed. Answers: $($a$)$ pf $0\mathrm{.}788($b$)$ C $56\mathrm{.}5$ mF $($c$)$ I $6\mathrm{.}0$ A rms