[Help] Power Loss in power cable

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Discussion Overview

The discussion revolves around calculating power loss in a copper wire connecting a wind turbine to a factory. Participants explore the implications of voltage and current on power delivery, resistance, and efficiency, addressing both theoretical and practical aspects of electrical transmission.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant calculates the resistivity of the wire using the formula p = RA/L, arriving at a value of 4.242x10^-9 ohmmeters.
  • Another participant emphasizes the need to account for voltage drop along the cable when calculating the current and power delivered to the factory.
  • Several participants express confusion over how to correctly apply formulas for power loss, including P = IV, I^2R, and V^2/R.
  • One participant attempts to calculate current and voltage drop for both 12V and 230V scenarios, noting significant voltage loss with the 12V option.
  • Another participant suggests writing two equations: one for delivered power at the factory and another for voltage at the factory end, factoring in voltage loss.
  • Discussions include attempts to apply Kirchhoff's Voltage Law (KVL) to the circuit, with varying levels of understanding and confidence among participants.
  • Some participants express frustration and uncertainty about the correct approach to the problem, particularly regarding the use of KVL and the order of formulas needed.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct calculations or methods to apply. There are multiple competing views on how to approach the problem, particularly regarding the use of voltage and current in the context of power loss and efficiency.

Contextual Notes

There are unresolved assumptions regarding the current flowing through the wire and the voltage drop calculations. Participants also express uncertainty about the correct application of formulas and the implications of their results.

Who May Find This Useful

This discussion may be useful for students studying electrical engineering, physics, or anyone interested in the practical applications of power transmission and the associated calculations.

  • #31
gneill said:
I think you get the picture :biggrin:

Now that you've identified the practical choice, you should have all the information required to complete the problem sections.

Thank you so much.
I feel like this would have been next to impossible without your guidance
:oldbiggrin:
 
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  • #32
Glad I could help.
 
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