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 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.

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?