I quite like Stefan's idea of a good API to the electrodynamics module,
once I am done building the infrastructure needed. How about something like
a sandbox?
I could do something like

S = new SandBox()
S.add(ElectricField1)
S.add(MagneticField1)
S.add(ChargedParticle1)

In this case, ChargedParticle1's velocities and accelerations would be
affected by the presence of ElectricField1 and MagneticField1, and would
thus vary with respect to time and position.I could try and also implement
something like

ElectricField.changeVector(5 * R.x)
S.updateComponents()

Ofcourse the actual API would be much more detailed than this one, but the
idea would be something similar. We could also add current-carrying wires
along lines/curves, dipoles, charged bodies, etc.

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