Two immobile fixed physical $($point$)$ dipoles of dipole moments vec$(p)=$phat$(z)$ and vec$(p)=-$phat$(z)$ are located at $z=\frac{d}{2}$ and $z=-\frac{d}{2},$ respectively as shown in the figure. There exists a point charge $q$ located a distance $r$ from the origin.

What is the force on the point charge?

d/2 d/2 y