Why choose a rectangular surface for flux calculation near a wire?

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SUMMARY

The discussion centers on the choice of a rectangular surface for calculating magnetic flux near a wire, as outlined in the MIT course notes on electromagnetic visualizations. The primary reason for this choice is the mathematical simplicity it offers, allowing for straightforward integration. In contrast, using irregular shapes would necessitate complex numerical techniques to perform the integral, complicating the analysis. This highlights the importance of selecting appropriate geometries in electromagnetic calculations.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically flux concepts.
  • Familiarity with integration techniques in calculus.
  • Knowledge of numerical methods for solving integrals.
  • Basic grasp of wire configurations in electromagnetic fields.
NEXT STEPS
  • Study the principles of magnetic flux in electromagnetic theory.
  • Learn advanced integration techniques relevant to physics problems.
  • Explore numerical methods for integral calculations, focusing on irregular geometries.
  • Review case studies involving wire configurations and their impact on flux calculations.
USEFUL FOR

Students of electromagnetism, physics educators, and anyone involved in electromagnetic field analysis will benefit from this discussion.

darksyesider
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Homework Statement



http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide10.pdf

pg: 10-17


Homework Equations





The Attempt at a Solution




I do not understand conceptually, why we chose the rectangular surface to take the flux over. Can anyone explain this please? i am having great trouble with it.

thank you.
 
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It just makes it easy mathematically to demonstrate the calculation. Any other weird shape will need numerical techniques to do the integral.
 

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