Effect of capacitor plates at different angle

[FALI]

Hi,
I am interested to simulate the capacitor with plates having an angle of 195 degrees between them.
https://dl.dropboxusercontent.com/u/32847378/cp1.jpg
I know that if the angle between of plates is 180 deg, then electric lines of forces will follow a elliptical path and equipotential lines perpendicular to them as shown in image,
https://dl.dropboxusercontent.com/u/32847378/coplanar1.jpg
and for mapping inverse cosine function is used. i.e. W = inv. Cos (Z)
where W = x + i y , Z = u + i v
So, for my case

1. Will the electric lines of forces still follow the elliptical path?
2. Can they also be mapped using inverse cosine function or will there be a variation?

This will help me in finding the capacitance. Thanks in advance.

 

[mfb]

Will the electric lines of forces still follow the elliptical path?

Not exactly, but they won't be completely different because your setup still looks similar.

Can they also be mapped using inverse cosine function or will there be a variation?

It is not clear if there is an analytic solution at all.

 

[FALI]

Hi,
Thanx for the reply. so, do you have any idea to solve that type of problem?

 

[mfb]

Numerical simulations?

 

[FALI]

Yes analytical solution. For that i know the correct tranformation (mapping) function. It would be nice to go into a detail of that problem

 

[mfb]

Numerical simulations?

Yes analytical solution.

Huh?

I don't know if there is an analytic solution. A numerical approach will certainly give a good approximation (as good as you like if you have enough computing power).