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Question

A generator at a utility company produces 100A of current at 4000V. The voltage is stepped-up to 240000V by a transformer before it is sent on a high voltage transmission line. The current in the transmission line is


A

3.67A

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B

2.67A

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C

1.67A

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D

2.40A

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Solution

The correct option is C

1.67A


Step 1. Given data:

Voltage in the primary coil, VP=4000V

Current in the primary coil, IP=100A

Voltage in the secondary coil, VS=240000V

Current in the secondary coil, IS=?

Step 2. Calculating current in the secondary coil:

For a transformer, assuming no loss of power:

VP×IP=VS×IS

4000x100=240000xISIS=(4000x100)240000IS=1.67A

Hence, correct option is (C).


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