The load $Z_L$ absorbs $104\mathrm{.}933\mathrm{.}42[VA].$ The source delivers $126[W]$ and an unknown amount of reactive power. The quantity $x_{LI}$ is the reactance of the line.

a$)$ Find the values of $x_{Lt}$ that will satisfy these conditions.

b$)$ Assume that this system operates at $60[Hz].$ Find a model for the line in the time domain using ideal circuit elements. $($Use any of the values that you found in part a$).)$