That's what makes me confused. If I include the scale factor ##r## I get ##\rho\propto 1/r ##, how could it be a uniform charge distribution if density decreases as radius increases?
I'm working on this: When I consider a disc with radius ##a## and total charge ##Q## uniformly distributed (placed in the XY plane and centered at the origin) and determine the volume charge density in cylindrical coordinates, I have assumed is of the form ##\rho=A \delta (z) U(R-r)##, (##U## is...