All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.405

Using the betatron condition, demonstrate that the strength of the eddy-current field has the extremum magnitude on an equilibrium orbit.

Reveal Answer
dE/dr=B˙(r0)−1/2⟨B˙⟩=0d E / d r=\dot{B}\left(r_{0}\right)-1 / 2\langle\dot{B}\rangle=0
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