1. The problem statement, all variables and given/known data A point charge q is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. How much work would it take to move the charge out to innity? (find the minimum work needed. Assume charge can take out through a tiny hole drilled in the shell. Think about the work you need to assemble the system) 2. Relevant equations W = qV V = ∫E. dl dl = (r^ dr + θ^ dθ + ϕ^ d ϕ) 3. The attempt at a solution The overall equation is W = qV. I'm just a little unsure about getting V (q is given). My guess is that there has to be two integrations for the Voltage inside and outside of the shell. I'm not really too sure about all of that, because isn't the Voltage in a conductor always constant. So is it possible V = (V(out) + V(in)) = (V(out) + C) where C is just some arbitrary constant. Or can you actually find the constant value of that voltage with the information given?