35 MW of power at 40 kV (rms) arrives at a town from a generator via 4.7 transmi

Question

35 MW of power at 40 kV (rms) arrives at a town from a generator via 4.7 transmission lines.

Calculate the emf at the generator end of the lines.

Express your answer to two significant figures and include the appropriate units.

E =

Calculate the fraction of the power generated that is wasted in the lines.

Express your answer using two significant figures.

E =

Calculate the fraction of the power generated that is wasted in the lines.

Express your answer using two significant figures.

Explanation / Answer

Power = (E-V)^2 /R

P = (E - 40000 )^2 / 4.7

35MW * 4.7 = (E-V)^2

by putting values

E = 52825Volts = 53kV

part B

power wasted = I^2R

I = 53000-40000/R

I = 2765A

P' = 1627770W

fraction = P'/P

fraction = 1627770/35000000 = 0.05

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