E field due to a finite line of charge

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Homework Help Overview

The problem involves calculating the electric field at the origin due to a finite line of uniform charge extending between two points in a three-dimensional space. The charge density is given, and the participants are exploring the mathematical setup required to evaluate the electric field using integration.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the expression for the differential charge element (dq) and its dependence on the geometry of the line of charge. There are attempts to set up the integral for the electric field, with some participants questioning the correctness of their expressions and the assumptions made regarding the relationship between dx and dy.

Discussion Status

The discussion is ongoing, with participants providing guidance on expressing dq in terms of dx and dy. Some participants express confusion about their integrals and the resulting electric field components, while others suggest that the components may indeed be equal in magnitude, leading to further exploration of the implications of this result.

Contextual Notes

Participants are working under the constraints of homework guidelines, which may limit the information they can access or the methods they can employ. There is a focus on understanding the relationships between the variables involved in the problem.

  • #31
Jake 7174 said:
It adds a degree of comfort. Do you all think that my approach was reasonable. Was there a better way to approach this?
I think your approach was very good. The only mistake was expressing dq as λdx rather than λds.
 

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