A magnetic monopole is a particle that casts out a radial magnetic field satisfying \(abla \cdot \mathbf{B}=4 \pi q_{m} \delta(\mathbf{r})\) where \(q_{m}\) is the magnetic charge of the monopole. A nonrelativistic electrically charged particle of charge \(q\) is moving near a magnetic monopole of magnetic charge \(q_{m}\).

(a) Show that the magnetic field from the monopole takes the form

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qm B = f. 12 (b) Write the equations of motion of the electrically charged particle assuming that the magnetic monopole remains stationary. (c) Find the constants of motion; in particular show that the so-called Fierz vector remains constant. Z rxp q9m r