2. Determine the potential function for the region inside the rectangular trough of infinite length whose cross section is shown in Figure y gap- V=0- a 01 V = Vo gap V = 0 b V-0 a) Write the Laplace Equation for the problem b) Separate the variables c) Solve the separated equations - Note there are two second order differential equations. d) And apply the boundary conditions V(x = 0, y) = 0 V(x=b, y) = 0 V (x, y=0)=0 V(x, y=a) = Vo e) Calculate the potential for all x and y?