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MATLAB script that simulates electric equilibrium potential in a region of space that does not contain any electric charge, using Jacobi relaxation method, in 2D and 3D

MATLAB 100.00%

electric-equilibrium-potential-simulation-using-jacobi-relaxation's Introduction

Electric-Equilibrium-Potential-Simulation-using-Jacobi-Relaxation

Simulates electric equilibrium potential in a region of space that does not contain any electric charge, using Jacobi relaxation method, in 2D and 3D.

In this script, we solve a discretized Laplace equation using Jacobi relaxation algorithm and obtain an approximation of the solution depending on user defined number of iterations "n".

The program outputs:

  • A gradient graph of the electrical potential between two metal plates in 2D.
  • 3D gradient graph of the electrical potential of a box with user defined position of volume slices.
  • Visualization of the electric field vectors direction (both in 3D and 2D simulations).

Reference Used: Computational Physics 2nd Edition - Nicholas J. Giordano and Hisao Nakanishi.

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