A dipole is centered at the origin of a coordinate system, and a small charged sphere is some distance away along the perpendicular bisector of the dipole. The particle carries a uniformly distributed charge of \(-3.0 \mathrm{nC}\), and experiences a \(200 \mathrm{nN}\) electric force in the positive \(y\) direction.

(a) If the dipole charge is \(10 \mathrm{nC}\) and the dipole separation is \(20 \mathrm{~mm}\), how far away from the dipole is the sphere?

(b) How is the dipole moment oriented?