A single phase line is modeled as an inductive reactance as shown in Figure $11\mathrm{.}7.$ In this case, $10.$ The voltage sources at ench end have the same voltage magnitude of $1000,$ RMS$.$ Assume that the sending end is at the left and the receiving end is at the right.

$($a$)$ What is the maximum amount of real power that can flow from one end to the other?

$($b$)$ What is real power flow when the phase angle between ends is $30?$

$($c$)$ With the phase angle of $30,$ what is reactive flow at each end?

$($d$)$ What phase angle is required for $75$ kW to flow?