3) Two infinite grounded metal plates are parallel to the zz plane as shown in the fig- ure, one at y = 0, and the other at y = a. The bottom is closed off with an infinite strip insulated from the two plates, and maintained at the potential Vs(y) shown in the figure. As discussed in class, the general solution of the Laplace equation for this problem is: V(x, y, 2) = >[(An e-The/a + Br enz/a) (C, sin(any/a) + Dn cos(any/a))] n=1 a) Write the boundary conditions of this problem (1 point). b) Starting form the general solution of the Laplace equation shown above, obtain the electric potential inside the "slot" (3 points; Vo and V, are constants). N V=0 V=0 VB ( y) = V. sin (3Wy) + V, sin (TIX) X