How Do You Simulate Magnetic Field Lines in MATLAB?

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SUMMARY

This discussion focuses on simulating magnetic field lines in MATLAB, specifically using the quiver and quiver3 commands to visualize vector fields. The user, Lechko, seeks to understand how to create tidy, curving lines that represent magnetic fields emanating from a coil. The key takeaway is that while each point in the field has a magnitude, the visual representation in textbooks simplifies this by using arrows for clarity. The quiver command allows for plotting vectors at specified points, making it essential for accurate simulation.

PREREQUISITES
  • Familiarity with MATLAB programming
  • Understanding of vector fields and magnetic fields
  • Knowledge of the quiver and quiver3 commands in MATLAB
  • Basic concepts of field direction and magnitude
NEXT STEPS
  • Explore MATLAB's quiver command for 2D vector field visualization
  • Investigate the quiver3 command for 3D vector field representation
  • Learn about the mathematical principles behind magnetic field lines
  • Research techniques for enhancing visual clarity in scientific simulations
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This discussion is beneficial for MATLAB users, physics students, and educators looking to simulate and visualize magnetic fields effectively.

lechko
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Hello everyone, I am trying my best to do this simulation on Matlab to show the expancion of Magnetic field lines out of a coil. Now, finding the amplitude and direction of the field at a given place is pretty simple, the trick is to produce those tidy lines we all see in books, i gather they are supposed to be tangential to the field direction but there has to be something that I am missing... why in all of the books they chose to show us those curving lines and when u think of it, it's supposed to be a page filled with arrows.
I really hope this question is not inappropriate here but I am sure there's smtng I'm missing there and can't quite figure what.

thank you
lechko
 
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Welcome to the forums, Lechko!

Every point in a field has a magnitude. The pics in the books trim them out for clarity.

If you're doing it in Matlab, you may want to look into the quiver and quiver3 commands. They plot vector fields with magnitude (u(i),v(i),w(i)) at points (x(i),y(i),z(i)) which are fed into the command.
 
so every poit on the same line has the same magnitude and the "quiver" command will just point them out? great!
i already started thinking of some complicated "For"-"If" structure :)
thanks a lot!
 

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