Electric Potential for an Infinite line charge question

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SUMMARY

The discussion focuses on the conversion of differential length elements in the context of electric potential for two parallel infinite line charges. The user seeks clarification on how to transition from the differential length element "dl" to "dr" and the relationship expressed as "dl * \hat{r} = dr". Participants emphasize the need for a precise definition of the terms used, particularly "dl", "dr", and the vector notation involved. The conversation highlights the importance of clear problem statements in physics to facilitate accurate solutions.

PREREQUISITES
  • Understanding of electric potential and line charge concepts
  • Familiarity with vector calculus and differential notation
  • Knowledge of electrostatics, specifically regarding infinite line charges
  • Basic proficiency in physics problem-solving techniques
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  • Study the derivation of electric potential due to infinite line charges
  • Learn about vector calculus applications in electrostatics
  • Explore the relationship between differential elements in physics
  • Review examples of problems involving multiple line charges
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Students studying electromagnetism, physics educators, and anyone seeking to deepen their understanding of electric potential in the context of line charges.

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Homework Statement


This may be simple but apparently I can't see it. When given two parallel infinite line charges, how do you change dl to dr? A book I have says that dl*\hat{r}=dr but I don't see how. Any help is greatly appreciated. Thanks!



Homework Equations





The Attempt at a Solution


 
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it would be easier to answer you if you explain in more detail what you mean by "dl" and "dr" and "*".
 
as olgranpappy said.. it is necessary that you provide us with the EXACT question since the title implies a single infinite line charge.. however you mention 2 infinite line charges.
 

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