Let's assume that there is a disk of total electric charge $Q$ rotating about its axis with a constant angular velocity $\vec{\omega}$. I know that one can easily compute the magnetic field generated on the axis of the rotation of the disk, which is possible due to the symmetry of the problem.
My question is the following: Is there any way to use the Biot-Savart law (or any other method) in order to compute the magnetic field on an arbitrary point on the plane of the disk itself?
I would, probably naively, think of somehow reducing the problem to a $2D$ one, but fail to implement it.