Is My Calculation of Work Along a Defined Curve Correct?

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Homework Help Overview

The discussion revolves around calculating work along a defined curve in the context of vector line integrals, particularly within electrostatics. The original poster presents their work and seeks validation of their calculations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the correctness of the original poster's calculations and the units involved in the final result. Questions are raised regarding the interpretation of units and the meaning of specific terms in the equations presented.

Discussion Status

The discussion is ongoing, with participants providing feedback on the original poster's calculations and questioning the validity of the units used. Some guidance is offered regarding the interpretation of the equations, but no consensus has been reached on the correctness of the solution.

Contextual Notes

There is a mention of the forum's policy on sharing documents, with one participant expressing reluctance to open unsolicited PDFs. The original poster's use of LaTeX for presenting their work is noted, along with the potential need for adjustments to the formatting.

Morle
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Homework Statement
I would like to confirm whether my solution is correct.
Relevant Equations
vector line integral
I created a problem for myself, which I have documented in LaTeX. I hope it's acceptable that I included snapshots of my pages.

I would like to calculate the Work W along curve C1.
1727268611164.png


I have solved the problem as shown below. Is my solution correct (see Equation 1.11)?
1727268640213.png


The pictures I included are of low quality, so I've attached the main.pdf for your reference.
 

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I am not opening unsolicited pdfs as a matter of principle.

Please note that the forum has LaTeX compatibility. You’ll have to change a couple of delimiters, but displaying equations written in LaTeX generally works quite well.
 
Your final result seems to have the wrong units.
But what's the point of doing this?
 
Hello Nasu, The goal is to improve my understanding by practicing vector line integral problems in physics, specifically those related to electrostatics. Why is the Unit of W not correct? q in [As], Q in [As], e0 in [As]/[Vm] so k in [As]*[Vm] and finally W in [As]*[Vm]/[m]=[VAs]=[Ws]=[Nm]=[J]. So the unit is correct, right?
Thanks and best regards.
 
What is the meaning of "m" in The denominator of your final result? It looks like "k" divided by some quantity in meters. Which does not have dimensions of work.
 

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