Lets consider an electron that is placed in an existing, constant in space near the electron, magnetic field. Electron is stationary. Magnetic field over time gradually reduces to zero.
I assume electron will accelerate. How can I calculate how much will it accelerate?
Usually I find effects on moving electrons and static magnetic fields. i assume I can also take the reference frame of an electron initial trajectory, to get these common cases to the case im interested in. Can I do that? Is there some other simple way to calculate it approximately, without integrals?
If you think many solutions exist, consider the one that is closer to a situation of a loop of wire with current and electron in the middle of this loop. Current in the wire makes the magnetic field. Changing current in the wire, probably, makes electric field. Electron makes electric field. Electron that is probably accelerating would make magnetic field due to motion. No other fields exist: if wire loop and electron are removed, then space will quickly calm down to zero electric and magnetic field. Point of interest, where fields are measured is the position of the electron, in the middle of the loop. Time over which system evolves is small enough that electron, if accelerated, doesnt move far from its original position. Relativistic effects, if possible, to be ignored, so that wavelength associated with the rate of change of magnetic field is significantly larger than the wire loop size. But simpler solution is preferred if several solutions allow to get an answer for this case with reasonable precision - within x0.5...x2.