Inductance on equivlent single coil system

[BloodPhoenix]

Homework Statement

I am attempting to work out the mutual inductance between a pair of single-turn coilds attached to a transmission line.
Single-turn coils :inner diameter d, thickness H1
Transmission line: distance between plates d and the parameters L,H2,$$\delta$$,$$\beta$$ and angle $$\alpha$$

I am having trouble coming up with an equation that when you use the proof:

M=k$$\sqrt{}$$L1L2 k<1

For this question L1=L2 there for the proof => M=kL

distance between the two coils: S=H2-H1

Any assitance would be most appreciated

 

[Valkarie]

.Homework Equations I have been looking everywhere and can't seem to find the equations that I need to solve this problem. The Attempt at a Solution I have tried using the following equation: M=k\sqrt{L1L2}\cdot\frac{S}{\sqrt{(d+H2)^2+(\delta\cdot\sin(\alpha))^2}} but it does not give me the result that I am looking for.