As of right now I am writing q = ρ2πr as the infinitesimal amount of charge in the current loop with the current being q/T with T, the period, T = 2πr/v. The area in these loops then should be πr2, with the surface integral rdr tacked on from 0 to r. This doesn't seem to work.
Also writing...
I'm trying to show that for an electron of uniform charge and mass distributions spinning about a fixed axis that the classical calculation for the magnetic moment is
μs = -(e/2m)S where S is the spin angular momentum.
Now I know that the moment for any given current loop is μ = iA. So...