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.

A troublesome integral

I calculate an integral that I need when solving problem 5.57 in Griffiths, Introduction to Electrodynamics. I generalized the exercise to \( D \) dimensions.

Electromagnetic properties of a charged rotating sphere

I calculate some properties of the electromagnetic field of a charged rotating sphere.

The Weyl tensor of the five-dimensional Myers-Perry metric

In this post I write the Weyl tensor of the Myers-Perry black hole as a sum of squares.

Charged rotating sphere in Maxwell-Chern-Simons theory

I calculate the electromagnetic field of a charged rotating sphere in five dimensional Maxwell-Chern-Simons theory.

Charged rotating sphere in five dimensions

I calculate the electromagnetic field of a charged rotating sphere in 4 + 1 dimensions. Griffiths calculates the magnetic field of a charged rotating sphere in 3 + 1 dimensions in example 5.11 in his book. In this post, I perform a similar calculation but in 4+1 dimensions.

The Weyl tensor of the D-dimensional Reissner–Nordström metric

In this post I write the Weyl tensor of the Reissner–Nordström black hole as a sum of squares of the electromagnetic field tensor.