Question

In: Physics

An energy plant produces an output potential of 2700 kV and serves a city 202 km...

An energy plant produces an output potential of 2700 kV and serves a city 202 km away. A high-voltage transmission line carries 460 A to the city. The effective resistance of a transmission line [wire(s)] is 1.69 Ω/km times the distance from the plant to the city. 1) Assume the plant charges $ 0.105 /kW · hr for electric energy. At this rate, how much does it cost to transmit energy to the city (by the transmission line heating the atmosphere) each hour? Answer in units of dollars/hr. 2) Consider the money lost by the transmission line heating the atmosphere each hour. Assume the energy plant produces the same amount of power; however, the output electric potential of the energy plant is 20% greater. How much money per hour is saved by increasing the electric potential of the power plant? Answer in units of dollars/hr

Expert Solution

Here Let the total resistance of the wire is R.

1)We know energy produced by the wire that transmits to the atmosphere

W

The energy produced by kW.h is

The total cost to transmit energy to the city is

2)

Let the initial power of the plant is P₁ now the power is P2.

The output voltage of the plant after 20 percentage increasing voltage is

Given that

The current will passes through the wire after increasing the plant voltage 20 percentage is 383.33 A.

Now the energy will lose in kW.hr is

Energy will be saved

The amount of money saved per hour is

genius_generous answered 2 weeks ago

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