Question: A point charge q sits at (a, 0, 0), a point charge q sits at (a, 0, 0), and a uniform magnetic field B

A point charge q sits at (a, 0, 0), a point charge − q sits at (−a, 0, 0), and a uniform magnetic field B = Bẑ fills all of space. 

(a) Prove that the streamlines of the Poynting vector either close on themselves or begin and end at infinity. 

(b) Sketch several representative streamlines of the Poynting vector, including the one which passes through the origin of coordinates.

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