5. An electrical power plant generates electricity with a current of 50 A and a potential difference of 20 000 V. In order to minimize the power losses due to the high current heating up the line, a transformer steps up the potential difference to 500 000 V before it is transmitted. What is the current in the transmission lines?

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Physics

Libby Avila

7 January, 23:07

5. An electrical power plant generates electricity with a current of 50 A and a potential difference of 20 000 V. In order to minimize the power losses due to the high current heating up the line, a transformer steps up the potential difference to 500 000 V before it is transmitted. What is the current in the transmission lines?

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Answers (1)

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Gunnar Eaton · Answer 1

2A

Explanation:

A transformer operates on the principle of mutual inductance. That is, the flow of induced current or voltage in a coil due to an alternating or carrying current in a neighboring coil. For a transformer, we can write;

Es/Ep = Ip/Is

Where;

Es = voltage in the secondary coil = 500,000V

Ep = voltage in the primary coil = 20,000 V

Is = current in the secondary coil = ?

Ip = current in the primary coil = 50A

Thus;

Es*Is = Ep*Ip

Is = Ep * Ip/Es

Is = 20000 * 50/500000

Is = 2A