Discussion Overview
The discussion revolves around calculating power loss in a 400kV cable carrying 1GW of power, specifically focusing on resistive losses due to line resistance. The context includes a homework problem with multiple-choice answers and attempts to derive the correct power loss using relevant equations.
Discussion Character
- Homework-related
- Mathematical reasoning
Main Points Raised
- One participant presents a problem involving a 400kV line with a specified line resistance and power load, seeking help to calculate power loss.
- Another participant suggests checking the equation relating power and current, implying a potential error in the initial approach.
- A different participant suspects that the original poster may be using only the line resistance instead of the total resistance, which includes load resistance, to compute the current.
- One participant calculates the current using I=P/V and finds it to be 2500A, then applies the power loss formula P=I^2/R to find a power loss of 1.25x10^6 W.
- Another participant echoes this calculation, suggesting that the original poster made a similar mistake in their approach.
- A later reply acknowledges the mistake in the calculation method, indicating a realization of the error in applying the power loss formula.
Areas of Agreement / Disagreement
There is no consensus on the correct power loss value, as participants are discussing different approaches and calculations. Some participants agree on the calculation method, while others point out potential errors in the initial reasoning.
Contextual Notes
Participants have not provided complete work for all calculations, which limits the ability to identify specific errors or assumptions made in the problem-solving process.