Question

A single phase transmission line having an impedance of 8 60°ohm supplies a load of 80 Amperes at a voltage of 87 KV at a power factor of 0.8 lagging. Calculate the voltage on the sending side and

Answer 1

To calculate the voltage on the sending side in a single-phase transmission line, we can use the power factor formula and the complex power formula. In this case, the voltage on the sending side is 87 kV.

Step-by-step explanation:

To calculate the voltage on the sending side, we can use the power factor formula: power factor = cosine(angle), where the angle is the phase angle difference between the voltage and current. In this case, the power factor is 0.8 lagging, which means the angle is 36.87 degrees. We can represent the impedance of the transmission line as a complex number, Z = 8∠60° ohm. The complex power is given by S = Vrms * Irms * conjugate(Z), where Vrms is the load voltage, Irms is the load current, and conjugate(Z) is the complex conjugate of the impedance. Solving for Vrms, we get Vrms = S / (Irms * conjugate(Z)), which gives us Vrms = 87 kV. Therefore, the voltage on the sending side is also 87 kV.