1-The output of a generator is V = 407 V at I = 25 A. It is to be transmitted on
ID: 1466561 • Letter: 1
Question
1-The output of a generator is V = 407 V at I = 25 A. It is to be transmitted on a line with resistance R = 0.3 . To what voltage must the generator output be stepped up with a transformer if the power loss in transmission is not to exceed 0.02% of the original power?
2-A generator produces I = 57 A of current at V = 115 V. The voltage is usually stepped up to 4500 V by a transformer and transmitted through a power line of total resistance 1.0 . Find the percentage power lost in the transmission line if the voltage is not stepped up.
Explanation / Answer
(1) Power = 407*25 =10175 W
Max Power loss = Imax^2*R = 10175*0.02*10^-2 = 2.035
Imax = 2.6 A
Imax = 99.98*10^-2*10175/Vmin
Vmin = 3912.6 v .
(2) If no stepped up .
Power loss = I^2R = 57^2*1 = 3249 W
Powe = 57*115 =6555 W
% loss = 49.5 %
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