Engineering
Physics
Physical Quantities
Question

A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the power plant for consumers' usage. It can be transported either directly with a cable of large current carrying capacity or by using a combination of step-up and step-down transformers at the two ends. The drawback of the direct transmission is the large energy dissipation. In the method using transformers, the dissipation is much smaller. In this method, a step-up transformer is used at the plant side so that the current is reduced to a smaller value. At the consumer's end, a step-down transformer is used to supply power to the consumers at the specified lower voltage. It is reasonable to assume that the power cable is purely resistive and the transformers are ideal with a power factor unity. All the currents and voltages mentioned are rms values.

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Linked Question 1

In the method using the transformers, assume that the ratio of the number of turns in the primary to that in the secondary in the step-up transformer is 1 : 10. If the power to the consumers has to be supplied at 200 V, the ratio of the number of turns in the primary to that in the secondary in the step-down transformer is

150 : 1

200 : 1

50 : 1

100 : 1

Solution
Verified BY
Verified by Zigyan

 εpεs  =  NpNs  =  110

 εs=40,000V 

εpεs=  NpNs

 40000200 =NpNsNpNs= 200

Lock Image

Please subscribe our Youtube channel to unlock this solution.

Linked Question 2

If the direct transmission method with a cable of resistance 0.4Ωkm–1 is used, the power dissipation (in %) during transmission is

50

20

40

30

Solution
Verified BY
Verified by Zigyan

P = Vi

 = 600×1034×103= 150 A

P = i2R = 1502 × 0.4 × 20

 =PPt=150×0.4×20×150600×1000 = 3001000×100  =30%

Lock Image

Please subscribe our Youtube channel to unlock this solution.