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3 April, 10:10

A high-voltage transmission line carries 1 000 A at 700 kV for a distance of 100 miles. If the resistance per length in the wire is 0.5 Ω/mile, what is the power loss due to resistive losses?

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  1. 3 April, 10:12
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    50 MW

    Explanation:

    We are given;

    Current = 1000A

    Voltage = 700 KV

    Resistance per length = 0.5 Ω/mile

    Length = 100 miles

    The total resistance would be;

    R=0.5 Ω/mile x 100 miles = 50Ω.

    Now, the current is the same throughout the wire, but the voltage is only at the beginning of the line, and thus the current for the power equation is;

    P = I²R

    So;

    P = (1000A) ² x 50Ω. = 50,000,000W = 50MW
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