[/itex][/itex]1. The problem statement, all variables and given/known data A battery consists of a cube of side L filled with fluid of conductivity s. The electrodes in the battery consist of two plates on the base at y = 0, one grounded and one at potential V = 12 Volts. The other sides of the battery casing are not conductive. Find the potential f everywhere inside the battery. Hint: current density j(x, y) flows according to Ohn’s law, j = σ Ewhere E = -div ∅. For equilibrium current flow, div.j = 0 which implies σ (div)^2 f = 0. Therefore you must slove Laplace’s equation. Note that on nonconducting surfaces, j.n ` = 0wheren ` is normal to the surface, so such surfaces have a Neumann boundary condition. 2. Relevant equations 3. The attempt at a solution I think the boundary at y=L is a Neumann boundary, and the boundary at y=0 is a Dirichlet boundary, but i don't know what is the boundary condition for y=0 since half of it is 0V and half of it is 12 V.