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latentcorpse
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A amssive charged particle moves under the influence of a time varying magnetic field [itex]\mathbf{B}=B(r,t)\mathbf{\hat{z}}[/itex], where r is the distance from the z axis. Show that the particle can move in a circular orbit in a plane perpendicular to the field, accelerating and decelerating under the influence of the electric field induced by the temporal variation of the magnetic field, provided that the average value of the magnetic field inside the orbit is twice the magetic field at the orbit.
[i.e. if a is the radius of the orbit and [itex]\Phi(t)[/itex] the flux through it, [itex]\frac{\Phi(t)}{\pi a^2}=2B(a,t)[/itex]
I can't really get started on this one. any ideas?
[i.e. if a is the radius of the orbit and [itex]\Phi(t)[/itex] the flux through it, [itex]\frac{\Phi(t)}{\pi a^2}=2B(a,t)[/itex]
I can't really get started on this one. any ideas?