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A cubical region of space is filled with some uniform electric and magnetic fields. An electron enters the cube across one of its faces with velocity $\mathrm{v}$ and a positron enters via opposite face with velocity $-\mathrm{v}$. At this instant,
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the magnetic forces on both the particles cause equal accelerations
,
both particles gain or loose energy at the same rate
,
the motion of the Centre of Mass (CM) is determined by $\mathbf{B}$ alone
the magnetic forces on both the particles cause equal accelerations
,
both particles gain or loose energy at the same rate
,
the motion of the Centre of Mass (CM) is determined by $\mathbf{B}$ alone
The magnetic forces on a charge particle, $F=q(v \times B)$, is either zero or $F$ is perpendicular to $V$ velocity and magnetic field, which in turn revolves particles on circular path perpendicular to both $(\vec{B}, \vec{V})$ with uniform speed. In both the cases magnetic force on charge particles have equal accelerations.
Both the particles gain or loss energy at the same rate as both are subjected to the same electric force $(F=q E)$ in opposite direction, because magnitudes of charges are constant,
As, there is no change of the Centre of Mass of the change particles. Hence, the motion of the Centre of Mass is determined by $\mathrm{B}$ alone.
Both the particles gain or loss energy at the same rate as both are subjected to the same electric force $(F=q E)$ in opposite direction, because magnitudes of charges are constant,
As, there is no change of the Centre of Mass of the change particles. Hence, the motion of the Centre of Mass is determined by $\mathrm{B}$ alone.
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