Homework Problem 5.13 This problem asks you to calculate the electric field of the two infinite planes. The left plane has surface charge density OA = -0. The right plane has charge density oB = 5/2 o. The distance between the planes is d. Part of the airspace between the planes is filled with an uncharged dielectric (dielectric constant* = 3.5) with thickness d/4 and an uncharged conductor with thickness d/4. Figure (a) shows the system with only the fixed planes of charge. Figure (b) shows the system including the conductor and dielectric. (a)Compute the electric field without the conductor and dielectric using the regions given in figure (a) (b)Draw the electric field map in figure (a). (c)Compute the electric field with the conductor and dielectric present using the regions given in figure (b). (d)Draw the electric field map in figure (b). Label the bound and induced charge densities. (e)Compute the potential difference between the planes A VAB for figure (b). Make sure you report the correct sign. (f)Compute the induced charge density on the left surface of the conductor.

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