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2. The mediums shown in the figure are placed as follows: Perfect electric conductor for y < 0, A lossless dielectric with ε = 580 for z < 0 and y> 0, ε = 4⁹0 ● Another lossless dielectric with ε = 40 for PEC ε = 580 z> 0 and y > 0. The electric field intensities for z>0 and y> 0 is given as: E(r) = 5xy + ŷx²z - 22y a) (9 points) Express the electric field intensity E(r) for y> 0 and z = 0¯ (that is; inside the lower dielectric near the upper dielectric boundary). b) (9 points) Find the surface charge density ps(r) for z > 0 and y = 0 (that is; at the conductor surface in the upper dielectric region). →y