Change of variable in electrostatic potential energy.

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SUMMARY

The discussion centers on the challenges faced when changing variables in electrostatic potential energy calculations, specifically regarding volume integrals. The user initially considered converting from Cartesian to spherical coordinates but found this approach unhelpful. Participants emphasized the importance of visualizing the problem and suggested using LaTeX for clearer communication of equations. The discussion highlights the need for a solid understanding of coordinate transformations in electrostatics.

PREREQUISITES
  • Understanding of electrostatic potential energy concepts
  • Familiarity with volume integrals in physics
  • Knowledge of coordinate transformations, particularly Cartesian and spherical coordinates
  • Proficiency in LaTeX for mathematical notation
NEXT STEPS
  • Research the principles of coordinate transformations in electrostatics
  • Learn how to effectively use LaTeX for typesetting equations
  • Study examples of volume integrals in different coordinate systems
  • Explore common pitfalls in variable changes during integration
USEFUL FOR

Students and educators in physics, particularly those studying electrostatics and integral calculus, as well as anyone looking to improve their skills in mathematical notation and problem visualization.

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Homework Statement



Hello everyone i have a problem in visualizing why a a change of variable happens. To evaluate a volume integral. I hope that someone could give me a hint of the reasoning that makes you think in that specific change of variable.

Homework Equations



See the attachment for this part, or the image link.

The Attempt at a Solution



I thought that it was changing from cartesian coordinates to spherical, but that was not right, so now i have a problem because i don't know how is the reasoning that lead you to think in that change of variable.

http://img266.imageshack.us/img266/5585/equations.jpg
 

Attachments

Last edited by a moderator:
Physics news on Phys.org
Many people here (including myself) will not open .doc files since they are known to easily hide viruses.

You'll have an easier time getting assistance if you type out the equations usins [itex]\LaTeX[/itex] or post a link to an image file (you can host them for free at imageshack.us) instead.
 

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