One wire in a high-voltage transmission line carries 1 000 A starting at 620 kV for a distance of 220 mi. If the resistance in the wire is 0.500 Ω/mi, what is the power loss due to the resistance of the wire?

Respuesta :

Answer:

110000000 W

Explanation:

From the question, The power loss due to the resistance of the line

is given as,

P' = I²R...................... Equation 1

Where P' = power loss due to the resistance, I = current carried  by the wire, R = resistance of the wire

But,

R = R'×d............ Equation 2

Where R' = Resistance per length of the the wire, d = distance of transmission.

Substitute equation 2 into equation 1

P' = I²R'd..................... Equation 3

Given: I = 1000 A, R' = 0.5 Ω/mi, d = 220 mi

Substitute into equation 3

P' = 1000²×0.5×220

P' = 110000000 W

Thus the power loss due to resistance = 110000000 W

Explanation:

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