# Transportation of Charges and Energy Lost

1. Mar 2, 2008

### caduceus

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

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.

Any comments will be appreciated.

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