Transportation of Charges and Energy Lost

1. Mar 2, 2008

1. The problem statement, all variables and given/known data

http://img525.imageshack.us/img525/2069/spheressw9.jpg [Broken]

At the initial picture, we have two spheres, such that,
the first one has charge Q, and the second one has no charge.

Then we connect these two spheres with a conducting wire and let some Q flow through the second sphere.

For the initial energy, we have;

Ei=Q$$^{2}$$/{8*pi*epsilon*a)}

For the final energy, after we did simple calculations, we have;

Ef={Q$$^{2}$$/(8*pi*epsilon)}*{1/(a+b)}

And then, we find energy lost, such that,

Ei-Ef={Q$$^{2}$$/(8*pi*epsilon)}*{b/[a*(a+b)]}

Then, we connected this energy lost to the resistance that the wire has.

However, if we suppose the wire does not have a resistance, then, how can we explain the energy lost here?

2. Relevant equations

Energy:
E=Q$$^{2}$$/(8*pi*epsilon*r), where r is the radius of the sphere.

Potential:
V=Q/(4*pi*epsilon*r), where r is the radius of the sphere.