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= The motion of a charged particle under a constant $\vec{B}$ = = The motion of a charged particle in a constant $\vec{B}$ =
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= The motion of a charged particle under a constant $\vec{B}$ = = The motion of a charged particle in a constant $\vec{B}$ =

The motion of a charged particle in a constant $\vec{B}$

  1. is time-reversal invariant
  2. is not time-reversal invariant

The motion of a charged particle in a constant $\vec{B}$

  1. conserves the mechanical energy
  2. does not conserve the mechanical energy

The work energy “theorem”

The work energy theorem, $\Delta T = W$ where $T$ is the kinetic energy (and $\Delta T = T_2 - T_1$ is its change) and $W$ is the net work done on the particle, is

  1. always valid (in classical mechanics).
  2. valid only for conservative forces.