How to Plot Electric Potential and Field with Given Boundary Conditions?

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SUMMARY

To plot electric potential and electric field with given boundary conditions, one must derive a function in terms of x and y. The discussion emphasizes using the relationship E = ΔV/d along the x-axis while considering boundary conditions such as V = 1, -1 for plates and V = 0 for boundaries. It suggests leveraging symmetry to simplify calculations and acknowledges the absence of conformal mapping for this specific scenario. The focus is on visual representation rather than complex function derivation.

PREREQUISITES
  • Understanding of electric potential and electric field concepts
  • Familiarity with boundary conditions in electrostatics
  • Basic knowledge of symmetry in physics
  • Ability to plot functions in two dimensions
NEXT STEPS
  • Research methods for visualizing electric fields using software like MATLAB or Python's Matplotlib
  • Explore boundary value problems in electrostatics
  • Learn about conformal mapping techniques in electrostatics
  • Study the implications of symmetry in electric field calculations
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Physics students, electrical engineers, and educators looking to understand and visualize electric potential and field distributions under specific boundary conditions.

TomorrowS
2017-08-06 17;36;32.PNG

To plot the electric potential and electric field, we should find the function about x, y.The attempt at a solution
I try to get E(ΔV/d) in x-axis, but no more development, to y and diagonal direction.

plus, Let me know how to use V=1, -1 plate, and V=0(boundary).
 
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It just asks to draw the answer, so I think that trying to determine a "function about x, y" is more than it is asking for. Also, I don't see any conformal mapping that would give you such a function. You can use symmetry to determine some values on the y axis. I don't know what type of "drawing" would work well.
 

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