A point charge q sits at the origin. A magnetic field B(r) = B(x, y)z fills all

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A point charge q sits at the origin. A magnetic field B(r) = B(x, y)ẑ fills all of space. Show that the field angular momentum is LEM = −(q2π) ϕB ẑ, where ϕis the flux of B through the plane z = 0.

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