Magnetic field inside and outside the rectangular conductor

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SUMMARY

The discussion focuses on calculating the magnetic field generated by a DC current flowing through a rectangular conductor using numerical methods, specifically the finite difference method. The governing equation is identified as curl curl A = µ J, with the condition that div A = 0, where J represents a uniform current across the conductor's cross-section. The user implemented a MATLAB code but encountered issues with the results, suspecting that incorrect boundary conditions may be the cause. Suggestions include using Ampère's Law to model the current as a sheet current for a more straightforward approximation.

PREREQUISITES
  • Understanding of electromagnetic theory, particularly Maxwell's equations.
  • Familiarity with numerical methods, specifically the finite difference method.
  • Proficiency in MATLAB programming for implementing numerical simulations.
  • Knowledge of boundary conditions in electromagnetic problems.
NEXT STEPS
  • Research boundary condition techniques for electromagnetic simulations in MATLAB.
  • Learn about Ampère's Law and its application to modeling current distributions.
  • Explore advanced numerical methods for solving partial differential equations in electromagnetics.
  • Investigate the use of finite element methods as an alternative to finite difference methods for magnetic field calculations.
USEFUL FOR

This discussion is beneficial for electrical engineers, physicists, and researchers involved in electromagnetic field simulations, particularly those working with MATLAB and numerical methods for analyzing current-carrying conductors.

merro
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Hi
I want to find the magnetic field result from DC current flow through the rectangular transmission line numerically by using the finite difference.
the solved equation is curl curl A =µ J , with div A=0, and J is a uniform current on the crosssection.
I implement the MATLAB code , but the result is not logical, so i think the boundary condition is the problem
I take the symmetry plans , one vertical and other Horzi. and solve the problem for quarter conductor.
my question the boundary conditions for that problem

thank you in advance
 
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Couldn't you just use amperes law and model it as a sheet current, at least that would give you an approximation.
 

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