A generator bus $($slack bus$)$ supplies a $100$MW$,50$Mvar load through a transmission line that can be modeled with a lossless short transmission line model with per unit impedance $(100$MVA base$)$ of j$0\mathrm{.}12.$ Also assume there is a $100$Mvar capacitor $($measured at $1\mathrm{.}0$ per unit voltage$)$ at the load bus.

A$)$ Determine the bus admittance matrix $($Ybus$)$ for the system.

B$)$ Calculate the voltage magnitude and angle at the load bus using the Newton$-$Rapson method. Use the flat$-$start. Provide the values after $2$ iterations.