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

Question

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?

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Thạch Thảo 3 years 2021-08-29T12:51:39+00:00 2 Answers 13 views 0

Answers ( )

  1. Sapo1
    0
    2021-08-29T12:52:46+00:00
    Reply

    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

  2. phucdien
    0
    2021-08-29T12:53:23+00:00
    Reply

    Explanation:

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