Asked by shaknocka lewis
A generating station is producing 1.2 x 106 W of power that is to be sent to a small town located 4.2 km away. Each of the two wires that comprise the transmission line has a resistance per length of 5.0 x 10-2/km. (a) Find the power lost in heating the wires if the power is transmitted at 1200 V. (b) A 100:1 step-up transformer is used to raise the voltage before the power is transmitted. How much power is now lost in heating the wires?
Answers
Answered by
dfrwls
The total resistance of the wires is Rwire = 4.2*0.05 = 0.21 ohms.
The current flowing in the wires when delivering 1.2*10^6 W is P/V
= 1.2*10^6 W/1200 = 1000 A
Poower lost in wires
= I^2*Rwire = 210,000 W
With a 100:1 stepup transformer, I is 100 x less. The power is delivered the same but the loss in the wires is 10^4 times less, or 21 W
The current flowing in the wires when delivering 1.2*10^6 W is P/V
= 1.2*10^6 W/1200 = 1000 A
Poower lost in wires
= I^2*Rwire = 210,000 W
With a 100:1 stepup transformer, I is 100 x less. The power is delivered the same but the loss in the wires is 10^4 times less, or 21 W
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