A power station delivers 740 kW of power at12,000 V to a factory through wires w

Question

A power station delivers 740 kW of power at12,000 V to a factory through wires with total resistance 3.3 .

Part A

How much less power is wasted if the electricity is delivered at 50,000 V rather than 12,000 V?

Express your answer to two significant figures and include the appropriate units.

A power station delivers 740 kW of power at12,000 V to a factory through wires with total resistance 3.3 .

Part A

How much less power is wasted if the electricity is delivered at 50,000 V rather than 12,000 V?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

P = VI

I = P/V

P = 740 kW

V = 12,000

I = 61.67 A

P = I^2*R = 12549.167 W

now V = 50,000

I = 14.8

P = 722.832 W

dP = 11826.335 W = 1.2 x 10^4 W

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