Do the same exercise as above with the replacement of the earlier transformer by a 40,000-220 V step-down transformer (Neglect, as before, leakage losses though this may not be a good assumption any longer because of the very high voltage transmission involved). Hence, explain why high voltage transmission is preferred?

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The rating of a step-down transformer is 40000 V−220 V. Input voltage, V1 = 40000 V Output voltage, V2 = 220 V Total electric power required, P = 800 kW = 800 × 103 W Source potential, V = 220 V Voltage at which the electric plant generates power, V' = 440 V Distance between the town and...
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The rating of a step-down transformer is 40000 V−220 V. Input voltage,V1= 40000 V Output voltage,V2= 220 V Total electric power required,P= 800 kW = 800 × 103W Source potential,V= 220 V Voltage at which the electric plant generates power,V' = 440 V Distance between the town and power generating station,d= 15 km Resistance of the two wire lines carrying power = 0.5 Ω/km Total resistance of the wire lines,R= (15 + 15)0.5 = 15 Ω P= V1I Rms current in the wire line is given as: (a)Line power loss =I2R = (20)2× 15 = 6 kW (b)Assuming that the power loss is negligible due to the leakage of current. Hence, power supplied by the plant = 800 kW + 6kW = 806 kW (c)Voltage drop in the power line =IR= 20 × 15 = 300 V Hence, voltage that is transmitted by the power plant = 300 + 40000 = 40300 V The power is being generated in the plant at 440 V. Hence, the rating of the step-up transformer needed at the plant is 440 V − 40300 V. Hence, power loss during transmission = In the previous exercise, the power loss due to the same reason is. Since the power loss is less for a high voltage transmission, high voltage transmissions are preferred for this purpose. read less
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