- #1
debis
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If a particle with charge e and mass m is in an arbitrary magnetic field has motion described by:
[tex]m\frac{d^2\vec{r}}{dt^2}=\frac{e}{c}\frac{d\vec{r}}{dt}\times\vec{H} [/tex]
prove that the speed [tex]v\equiv\left\vert\frac{d\vec{r}}{dt}\right\vert[/tex] is constant.
I don't understand how to do this when the field isn't necessarily constant.
Any suggestions would be greatly appreciated. Thanks!
[tex]m\frac{d^2\vec{r}}{dt^2}=\frac{e}{c}\frac{d\vec{r}}{dt}\times\vec{H} [/tex]
prove that the speed [tex]v\equiv\left\vert\frac{d\vec{r}}{dt}\right\vert[/tex] is constant.
I don't understand how to do this when the field isn't necessarily constant.
Any suggestions would be greatly appreciated. Thanks!