Question

A transmission line that has a resistance per unit length of

4.60×10^−4 Ω/m is to be used to transmit 5.00 mW over 400 miles (6.44 \times 10^5 m). The output voltage of the generator is 4.50 kV.
a) 250 V
b) 450 V
c) 650 V
d) 850 V

Answer 1

The question involves calculating the voltage at the end of a transmission line given its resistance per unit length, the power to be transmitted, the total distance, and the generator's output voltage, which requires knowledge of physics and electrical engineering concepts.

Step-by-step explanation:

The question is related to physics, particularly to the transmission of electric power over distances. It requires the application of concepts from electrical engineering, such as resistance, power, and voltage.

The question provides the resistance per unit length of the transmission line, the power to be transmitted, the distance over which the power is to be transmitted, and the output voltage of the generator.

Our task is to determine the voltage drop across the transmission line to find the remaining voltage that actually gets transmitted over that distance.

To find the voltage at the receiving end of the transmission line, we must first calculate the total resistance of the line, and then use the power transmitted to find the current.

The product of the total resistance and the current will give us the voltage drop, which can then be subtracted from the generator's output voltage to find the received voltage.