detail soln..
E for an infinitly long conducter ...
let @ be charge density ////
drawing a cylindrical gaussian surface of radius r and length l .........
@l/e = 2 pi r l E ....
@/2 pi e r = E .....
now we have two of them of chargedensity say @ , -@
E(at r) = @/2 pi e r + @/2 pi r (b-r) ...
V = -∫E.dr !!
takin origin at 1 of the conducters ..
V(a) - V(b-a) = -@/2pie [2ln(a/b-a)]
@/pie [ln(b-a/a)]
now q in 1 unit length ........ @(1) /
C = Q/V ...
@pi e/@ln(b-a/a)
pi e /ln(b-a/a)...
as b>>a
pi e / ln(b/a)