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It's not so simple to made the calculation since the parabolic shape add contribution to the electric field that seems to be not so easy to take into account. However if the two wires non parrallel, but straigths I think you could start from the capacitance of parallel wires (see for instance https://courses.cit.cornell.edu/ece303/Lectures/lecture6.pdf).
I tried to find the capacitance of two non parallel wire of radius "a" and length "L", as you can see in the file attached.
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