A total charge of 2.600 C is shared by two metallic spheres A (radius 7.00 cm) and B (radius 5.00 cm) that are connected by a thin wire of length 1.00 m. Find the charge on sphere A. (Note that the influence of sphere B is not negligible.)
I presume that (kq)/r will come into play, and also that Q1+Q2 will equal 2.600 C
The Attempt at a Solution
I know that for a similar problem where the distance between the two spheres can be considered large enough that their influence is negligable that the problem can simply be solved by rearranging q1+q2=2.6C to find one of the charges in terms of the other, and substituting that result into (kq1)/r1=(kq2)/r2 will allow one to find the charges.
However, I don't know how to approach the problem in the knowledge that the influence of one sphere on the other is no longer negligable. I suspect it will have an influence on how I equate the potentials, but I'm not sure exactly how. Any suggestions?