A magnetic field is non-uniform along the z axis between z =0 and z = L., with t

Question

A magnetic field is non-uniform along the z axis between z =0 and z = L., with the components (-Br,0, Bz) expressed in cylindrical coordinates (r,phi ,z), and uniform everywhere else: B = Bz. An electron and a proton, initially in cyclotron motion around B at z = 0 with the centers of their orbits at r =0, are moved to z = L/2 and then released. Which of the following describes correctly the subsequent motions of these particles: While gyrating around B, both particles move back to z = 0. Particles now gyrate both around B and Br at z = L/2. While gyrating around B, both particles move to z = L. The electron moves to z = 0 and the proton to z = L.

Explanation / Answer

the electron moves to Z=0 and proton to Z = L

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