Hover-Ring

A uniform ring of radius $1$ , linear mass density $1$ , and linear charge density $+1$ , is centered on the origin in the $xy$ plane.

A mass-less particle with positive charge is fixed at position $(x,y) = (0,-2)$ .

The coulomb constant $k_e = 1$ , and the ambient gravitational acceleration is $10$ in the negative $y$ direction.

If the ring is in stasis, what is the charge on the particle?