A high-voltage transmission line with a resistance of .31 ohms/kmcarries a curre

Question

A high-voltage transmission line with a resistance of .31 ohms/kmcarries a current of 1000 Amps. The line isa t a potential of 700kV at the power station and carries the current to a city located160 km from the station.
a.) what is the power loss due to resistance in theline? b.) What fraction of the transmitted power does the lossrepresent?
Where do I even begin?!
a.) what is the power loss due to resistance in theline? b.) What fraction of the transmitted power does the lossrepresent?
Where do I even begin?!

Explanation / Answer

   Total resistance of the transmissionline   R   =   2 *Length * resistance per unit length    R   =   2 *160 *0.31   =   99.2       2 appears as two wires areneeded.    a.   Powerlost   P   =   I2*R   =      10002* 99.2   =   9.92 *107   W    b.   Powerproduced   P0   =   V* I   =   700 * 103 *1000   =   7.00 *108   W       Fraction of powerlost      =   (P /P0 ) * 100%   =   9.92 *107 * 100 / 7.00 *108         %   =   14.17%

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