Electric Field due to a rod (1-dimensional)

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SUMMARY

The discussion focuses on calculating the electric field at point A due to a uniformly charged rod using integral calculus. The user expresses uncertainty regarding the selection of the variable R and the limits of integration in their solution. Feedback is requested to validate their approach, indicating a need for clarity in applying integral techniques to electrostatics problems. The conversation highlights the importance of correctly setting up integrals in physics applications.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Basic knowledge of integral calculus
  • Familiarity with the concept of charge distribution
  • Ability to set up and evaluate definite integrals
NEXT STEPS
  • Study the principles of electric fields generated by continuous charge distributions
  • Learn how to apply integral calculus to physics problems, specifically in electrostatics
  • Explore the concept of limits of integration in the context of electric field calculations
  • Review examples of electric field calculations involving rods and other geometries
USEFUL FOR

Students in physics, particularly those studying electrostatics and integral calculus, as well as educators seeking to clarify concepts related to electric fields and charge distributions.

thoff430
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Homework Statement



I am looking for the absolute value of the electric field at point A (see picture below) relative to the whole charged rod at the left side.

Homework Equations


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The Attempt at a Solution



I am not quite sure whether my choice for R and the boundaries of the integral are correct.
The solution seems to be legit at first sight, but as I'm just getting started with integrals, I would very thankful for any feedback or advice.

em1b-wc1-o4.JPG
 
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Well, no one? Do I need to type out my solution? Thought it was okay to scan it.
 

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