PRACTICE IT Use the worked example above to help you solve this problem. A gener

Question

PRACTICE IT Use the worked example above to help you solve this problem. A generator at a utility company produces 1.07 x 102 A of current at 3.65 x 103 V. The voltage is stepped up to 2.61 x 105 V by a transformer before being sent on a high-voltage transmission line across a rural area in a city. Assume that the effective resistance of the power line is 26.6 ? and the transformers are ideal. (a) Determine the percentage of power lost in the transmission line. 0.0154 (b) What percentage of the original power would be lost in the transmission line if the voltage were not stepped up? 69 Your response differs from the correct answer by more than 10%. Double check your calculations.% EXERCISE HINTS: GETTING STARTED IIM STUCK! Use the values from the PRACTICE IT section. Suppose the same generator has the voltage stepped up to only 7.44 x 104 V and the resistance of the line is 80.9 ?. Find the percentage of power lost in this case. 5.7 why does the power lost depend on the stepped-up current?% Need Help? Read it

Explanation / Answer

a) Transformer turns Ratio

V2/V1 = I1/I2

(2.61*105/3.65*103) =(1.07*102/I2)

I2 = 1.50 A

Power Lost in Transmission

PLost= I22R = 1.502*26.6 = 59.56 Watts

Power Transmitted through Transmission line

P=V1*I1= (3.65*103)*107 = 3.905*105 Watts

Percantage power lost

% power Lost =(PLost/P)*100 =(59.56/3.905*105)*100 = 0.015 %

b)

PLost = I2R =1072*26.6 =3.045*105 Watts

% power Lost =(PLost/P)*100 =(3.045*105/3.905*105)*100 = 78 %

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