|There's more than one way to do things|
It depends how accurate you want your simulation to be, how confident you are with vector calculus and numerical integration.
The force on a wire carrying an electrical current can be approximated by F=BIL where, B is the magnetic flux density the conductor is exposed to, I is the current running through the wire and L is the length of the conductor.
This is a highly simplified equation which can be taken as an upper bound on the numbers you should achieve partly because it relies on an infinitely long conductor.
The numerical simulation of time varying electrodynamic problems is not trivial. For example, time stepping requires good guesses of skin depth to be able to achieve any accuracy.
This may be of interest just to get the numbers out.
In reply to Re: (way)(OT): Lorentz Force worked numerical example.