Is it a simple matter to calculate the electric field in the region between a circular cylinder of charge Q1 and an elliptical cylinder of charge Q2? Assume the circular cylinder has a radius a < b (the semi-minor axis of the elliptical cylinder), they share an axis of symmetry, and the region in between is a vacuum.
I know that if the outer cylinder is also circular the electric field in between is a function of Q1 and r only, but I suppose that if the outer cylinder is not circular this is no longer true. Is this correct?