Final answer:
To calculate the line loss in the transmission line, we first calculate the current flowing through the line using Ohm's Law. Then, we use the power formula to find the power dissipated in the transmission line. The line loss is the power dissipated in the transmission line.
Step-by-step explanation:
To calculate the line loss, we need to first calculate the current flowing through the line using Ohm's Law. The resistance per unit length of the transmission line is given as 0.00x10^-4 Ω/m. The length of the line is 6.44x10^5 m.
Using the formula Voltage = Current x Resistance and the given output voltage of the generator (4.50 kV rms), we can find the current flowing through the line. So, 4.50 kV = Current x (0.00x10^-4 Ω/m x 6.44x10^5m). Solving for Current, we get Current = 280.98 A.
Next, we need to calculate the power dissipated in the transmission line using the formula Power = Current^2 x Resistance. The resistance of the transmission line is 0.00x10^-4 Ω/m. Substituting the values, we get Power = (280.98 A)^2 x (0.00x10^-4 Ω/m x 6.44x10^5m). The line loss is the power dissipated in the transmission line, which is 514.74 W.