What is the size of the magnetic dipole moment $\vec m$ of a superconducting diamagnetic sphere $radius=R$ in a uniform magnetic field $\vec B_0$? Since there is no free current, we can solve for $\Phi_m$, the scalar potential of $\vec H$.

The boundary conditions that I see are $r\to 0 \Rightarrow \Phi_m \lt \infty$ and $r\to\infty\Rightarrow\Phi_m\to r\cos\theta$