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 j0.12. Also assume there is also a 100 Mvar capacitor (measured at 1.0 pu voltage) at the load bus. a. Determine the bus admittance matrix (Y_bus) 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. The general power balance equations are given below. P_i = sigma^n _k = 1 |V_i||V_k|(G_ik cos theta_ik + B_ik sin theta_ik) = P_Gi - P_Di Q_i = sigma^n _k = 1 |V_i||V_k| (G_ik sin theta_ik - B_ik cos theta_ik) = Q_Gi - Q_Di