Electricity question on the power generated by power stations.

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Homework Help Overview

The problem involves calculating the power loss in electrical conductors used in the National Grid, specifically focusing on the resistance of the conductors and the current flowing through them. The subject area pertains to electricity and power transmission.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the resistance of the conductors and the current output, with some questioning the accuracy of the resistance value provided. There is an emphasis on applying relevant equations to find the power loss.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the initial problem statement and encouraging the original poster to share their working out. Some guidance has been offered regarding the application of equations, but no consensus has been reached on the correct approach or solution.

Contextual Notes

There are indications of potential errors in the problem statement, particularly regarding the resistance unit, which may affect the calculations. Participants are also noting the importance of showing attempts to solve the problem for effective assistance.

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Homework Statement



2)The power stations providing electricity for the National Grid generate electricity at 25kV. The typical demand on an average winter's day in the north-west of England is 6000MW. The current output form the generators is 240kV. Transformers raise the transmission voltage to 400kV. Assuming 100% efficiency in the transformers, the current is 15kA. Each pair of 400kV supergrid conductors has a resistance of 0.034Ωk/m.
How much power is lost per kilometre heating the conductors?
Books answer:7.65MW

Homework Equations



P=W/t=VQ/t=VI
V=IR
R=VI

The Attempt at a Solution


Can type my working out sorry.
 
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Delpo said:

Homework Statement



2)The power stations providing electricity for the National Grid generate electricity at 25kV. The typical demand on an average winter's day in the north-west of England is 6000MW. The current output form the generators is 240kV. Transformers raise the transmission voltage to 400kV. Assuming 100% efficiency in the transformers, the current is 15kA. Each pair of 400kV supergrid conductors has a resistance of 0.034Ωk/m.
How much power is lost per kilometre heating the conductors?
Books answer:7.65MW

Homework Equations



P=W/t=VQ/t=VI
V=IR
R=VI

The Attempt at a Solution


Can type my working out sorry.

We don't know how to help if you don't show your attempt...
 
We can't help you unless we can see you have tried to solve it.
 
Are you sure you copied that text correctly? It seems to contain several errors. For example it should be 0.034Ω/km, not 0.034Ωk/m.
So each km of conductor has a resistance of 0.034Ω. The current is 15kA.
Now you just have to apply your equations.
V=IR
P=VI
 

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