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10 August, 12:28

A power of 100 kW (105 W) is delivered to the other side of a city by a pair of power lines, between which the voltage is 12,000 V. (a) Use the formula P 5 IV to show that the current in the lines is 8.3 A. (b) If each of the two lines has a resistance of 10 Ω, show that there is a 83-V change of voltage along each line.

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  1. 10 August, 16:05
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    I = 8.3 Amp

    potential drop = 83 V

    Explanation:

    Power = 100 KW

    V = 12,000 V

    R = 10 ohms

    a)

    Calculate current I in each wire:

    P = I*V

    I = P / V

    I = 100 / 12 = 8.333 A

    b)

    Calculate potential drop in each wire:

    V = I*R

    V = (8.3) * (10)

    V = 83 V
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