Capacitance and inductance of cylindrical shell

[integralll]

i am having trouble with finding inductance and capacitance of a cylindrical shell with gap.

say inner radius is a, outer radius is b, and filling dielectric between a and b,

and its not a exact circle which have a small gap say d. its like a split ring but only one shell.

How can i find C and F?

 

[Bob S]

Smythe "Static and Dynamic Electricity" (third edition) has solutions for many difficult cylindrical geometry capacitance and inductance problems, including off-center geometries.

For these problems, if L is the inductance per unit length, and C is the capacitance per unit length, L and C are related by

LC = εε₀μμ₀ = 1.11 x 10^-17 εμ Farad-Henrys/meter²

Bob S