Julia scripts for drawing a solenoid and numerically calculating the magnetic field from it.
To calculate the field of a coil with 10 turns, an inner diameter of 14.5 mm, and a wire diameter (turn pitch) of 0.2 mm, run coilAndField.jl.
This does the calculations and exports the results to files in the folder Output.
To then find the analytical solution for the z component of the field, run analyticalSolution.wl.
Finally, to visualize the results, run one of plotResults.m (Matlab), plotResults.plt (gnuplot) or plotResults.py (Python/Matplotlib).
Note that only the Matlab version plots the vector field, and that the Python version does not plot the analytical solution (yet).
All these scripts include a hashbang that points to the relevant executable on my PC, so I can run them simply by typing, say:
./coilAndField.jlThe parameters defining the coil are set in defineConstants.jl.
For my master's thesis, I needed to calculate the magnetic field generated by a coil.
After using Mathematica to play around with the analytical solution for a solenoid (modelled as a tube with a uniform current density), I thought it might be nice to have a script that could calculate the field from a conductor in 3D space, using simply the Biot-Savart law and a bit of numerical integration.
I wrote a (slow!) version in Matlab, and have now rewritten it in Julia to learn that language (and a bit of git using VS Code).
I ended up adding scripts for plotting using Gnuplot, Python (Matplotlib) and Matlab.
All in all, it ended up being a project in programming and code management, rather than electromagnetism, and took just less than a week of part-time work.
A coil constructed with this library.
The z component of the magnetic field from the above coil.