Ampere Law problem

Hello.I need your help on the following question.
Assume you have a current carrying ring (vertically oriented) and a
(horizontally oriented) straight current carrying conductor with a length that equals the diameter of the ring and it's parallel to the ring's plane. The conduxtor's horizontal plane if extended "divides" the ring in two. The distance between ring and conductor is half the radius of the ring. Can you calculate a general equation (as a function of amperage and radius) for the total Lorentz force that is exerted on the ring (because of the conductor's magnetic field) and is acted on the vertical axis? I have done it by hand iteration but I need some confirmation. If you can't give me an answer , can you help me on how to get an answer? Thank you in advance for your attention & help!