Properties of a charged rotating sphere in Maxwell-Chern-Simons theory

I calculate some properties of a charged rotating sphere in five dimensional Maxwell-Chern-Simons theory.

Average of a magnetic field in D dimensions

I solve problem 5.57 in Griffiths, Introduction to Electrodynamics. This problem asks to calculate the average of a magnetic field over a ball; I solve it in \( D \ge 3 \) space dimensions.