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## Homework Statement

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.)

## Homework Equations

I presume that (kq)/r will come into play, and also that Q

_{1}+Q

_{2}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 q

_{1}+q

_{2}=2.6C to find one of the charges in terms of the other, and substituting that result into (kq

_{1})/r

_{1}=(kq

_{2})/r

_{2}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?