Describe semiquantitatively the motion of an electron under the presence of a constant electric field in the
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Describe semiquantitatively the motion of an electron under the presence of a constant electric field in the x direction,
and a space varying magnetic field given by
where E0, B0, and α are positive constants, |αx|≪ 1 and |αz| ≪ 1. Assume that initially the electron moves with constant velocity in the z direction, v(t = 0) = v0ẑ. Verify if t his magnetic field satisfies the Maxwell equation ∇ * B = 0.
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