An electric power station is producing 1.80 × 10 3 W of power that is to be sent

Question

An electric power station is producing 1.80 × 103 W of power that is to be sent to a small town located 11 km away. Each of the two wires that comprise the transmission line has a resistance per kilometer of length of 5.00 × 10-2 /km. Find the power lost in heating the wires if the voltage is stepped up from 150 V to 1200 V using an ideal transformer.

The answer is not 1.98 Watts.

I found:

R=1.1 ohms

I = 1.5 amps

Voltage drop = 1.5V

I'm not sure if these values are correct, but if you could provide me with the proper way to answer this question along with the proper values and answer I would be very grateful.

Thank you!

Explanation / Answer

The total resistance is Rnet = 2* R l

Rnet = 2* 5 e -2 * 11

Total Resistance = 1.1 hms

from the def of pOwer P = Vi

Current I = P/V = 1.8 e 3/(1200)

I = 1.5 Amps

POwer Losee Ploss = I^2 R

Ploss = 1.5*1.5 * 1.1

P = 2.475 Watts

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