Answer: Your welcome!
Step-by-step explanation:
a) The voltage of the source can be calculated using the equation V_source = V_load + I_load * Z_line, where V_load is the voltage of the load, I_load is the current of the load, and Z_line is the line impedance.
Using the given values, we can calculate the voltage of the source as V_source = 2300 V + (90 kW / 0.8 PF) * (38.2 + j140 Ω) = 4576.7 V
b) The voltage regulation of the transformer is the difference between the no-load voltage and the full-load voltage, divided by the full-load voltage. The no-load voltage of the transformer can be calculated using the equation V_NL = V_source * (1 + X_L / X_m), where V_source is the voltage of the source, X_L is the leakage reactance of the transformer, and X_m is the magnetizing reactance of the transformer.
Using the given values, we can calculate the no-load voltage as V_NL = 4576.7 V * (1 + 0.40 / 0.10) = 6378.8 V
The full-load voltage of the transformer can be calculated using the equation V_FL = V_NL - I_FL * Z_eq, where V_NL is the no-load voltage, I_FL is the full-load current of the transformer, and Z_eq is the equivalent series impedance referred to the secondary of the transformer.
Using the given values, we can calculate the full-load voltage as V_FL = 6378.8 V - (90 kW / 0.8 PF) * (0.10 + j0.40 Ω) = 5777.7 V
The voltage regulation of the transformer can then be calculated as VR = (V_NL - V_FL) / V_FL = (6378.8 V - 5777.7 V) / 5777.7 V = 10.3 %
c) The efficiency of the transformer can be calculated using the equation η = (P_out / P_in) * 100, where P_out is the output power of the transformer and P_in is the input power of the transformer.
Using the given values, we can calculate the efficiency as η = (90 kW / (90 kW + (90 kW / 0.8 PF) * (0.10 + j0.40 Ω))) * 100 = 98.5 %