(Solved): A surface charge density exists in the xy plane. Since it is known that this charge density is a fu ...
A surface charge density exists in the xy plane. Since it is known that this charge density is a function of the variables r and ϕ, show that there are components of the electric field intensity vector at the point (0,0,z). Ex=−4πϵ01∫0∞∫02π(r′2+z2)3/2r′2ρs(r′,ϕ′)cosϕ′dϕ′dr′Ey=−4πϵ01∫0∞∫02π(r′2+z2)3/2r′2ρs(r′,ϕ′)sinϕ′dϕ′dr′Ez=4πϵ0z∫0∞∫02π(r′2+z2)3/2r′ρs(r′,ϕ′)dϕ′dr′