Question

CHAPTER3 Determine the electric field at the center of the uniformly polarized sphere of Proble If the bound charges of a polarized dielectric are symmetrically disposed, then a special form of Gauss law may be applicable. The integral form of Eq. by surface S, is (3-9a), btained by integrating both sides of Eq (3-8a) over volume V bounded

Answer 1

A uniform electric field along = z works phi(r < R) = 4 pi/3 pz doublerightarrow E(r < R) = -4 pi/3 p the field due to a uniformly polarized sphere is inside E = -(4 pi/3) p another example: E = -4 pi/3 p nay where in side the uniformly polarized sphere, notice that this formula is independent of the value a of the radius, as long as r < a, that is as along as the point inside the sphere is at a distance r that is smaller then the radius including r = 0 \r\n if this is because psi(a = r) = vp_cost/r^3 = v/r^3 cos theta = 4 pi/3 p_z ans psi_9r < a) = 4 pi/3 p_0 doublerightarrow E(r < a) = -4 pi/3 p_0