Consider a pair of Helmholtz coils, which are axially aligned and situated so that the magnetic field halfway between the coils on the axis is 1000 gauss. The current through the two coils is increased (very slowly) by a factor of 8. If a particle at the halfway point on the axis has an initial energy of 3 keV and a 45-degree pitch angle, what is the final energy of the particle? Assume the distance between mirror points is constant.
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