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Q7. SEPARATION OF VARIABLES - CARTESIAN 3-D You have a cubical box (sides all of length a) made of 6 metal plates which are insulated from each other. Z The left wall is located at y--a/2, the right wall is at y=+a/2. V=Vo V=Vo Both left and right walls are held at constant potential V=Vo. All four other walls are grounded. (Note that I've set up the geometry so the cube runs from y -a/2 +a/2 x=0 to x=a, and from z=0 to z-a, but from y=-a/2 to y=+a/2 4a This should actually make the math work out a little easier!) X Find the potential V(x,y,z) everywhere inside the box. Do your formulas give V=0 at the center of this cube? Is E-0 there? (Should they be??)