A nuclear power plant produces power with a current of 15.0 kA. A transformer with 500 windings in the primary circuit and 1700 windings in the secondary circuit is used to step up the potential difference to 198 kV. Calculate the power the nuclear plant produce. Assume no energy is lost in the transformers.

Question

Physics

Orion Davidson

2 February, 18:56

A nuclear power plant produces power with a current of 15.0 kA. A transformer with 500 windings in the primary circuit and 1700 windings in the secondary circuit is used to step up the potential difference to 198 kV. Calculate the power the nuclear plant produce. Assume no energy is lost in the transformers.

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Byron Snow · Answer 1

873 MW

Explanation:

Find the voltage in the primary circuit.

Vp / Vs = Np / Ns

Vp / 198 kV = 500 / 1700

Vp = 58.2 kV

Calculate the power.

P = VI

P = (58.2 kV) (15.0 kA)

P = 873 MW