Final answer:
The student's question about the voltage drop across a transmission line can be addressed by using the impedance and current, however, precise calculation requires information about the power factor which is not provided.
Step-by-step explanation:
The student has asked about calculating the voltage drop across a transmission line with a given load and per-phase impedance. With the load being 8 MVA and the transmission line having a voltage of 13-kV, we use the per-phase impedance, given as (0.01 + j0.05) per unit (pu), to figure out the voltage drop.
To calculate the voltage drop, we use the formula ∆V = I * Z_line, where I is the current and Z_line is the impedance. First, we find the current delivered by the line using the power formula S (apparent power) = V * I * √3, and then rearranging it as I = S / (V * √3). Using this current and the given impedance, we can compute the voltage drop across the transmission line.
However, without the phase angle between voltage and current (power factor), we cannot complete this calculation with precision, as the current and impedance are vectors and their multiplication needs to consider angles. For educational purposes only, assuming the unity power factor (which is usually not the case in real transmission systems), we can find the voltage drop by simply multiplying the magnitude of the current with the magnitude of the impedance.