#### Dale

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Actually, this was easier than I thought. I used the formula from Wikipedia for the magnetic dipole field: https://en.wikipedia.org/wiki/Magnetic_dipole#External_magnetic_field_produced_by_a_magnetic_dipole_momentHow would you actually evaluate the integral if these initial conditions are given:

electron initial position = {2,7,0}

electron initial velocity = {4,0,0}

B field initial vector = {0,0,-5}

B field source location {0,0,0}

What is electron's final location and velocity after one seconds?

That gives me B. Then F=qv x B and F=ma gives me a differential equation ma=qv x B. Plugging that into Mathematica using the initial conditions specified (assuming you meant all of the above to be in SI values) then solving for the position of the electron as a function of time. Evaluating that at t=1 gives the electron final position = (2.011,6.961). Evaluating the work done on the electron gives 0, which is confirmed by the fact that the final speed is still 4.