Find the field inside a sphere of linear dielectric material in an otherwise uniform electric field E0 (Ex. 4.7) by the following method of successive approximations: First pretend the field inside is just E0, and use Eq. 4.30 to write down the resulting polarization P0. This polarization generates a field of its own, E1 (Ex. 4.2), which in turn modifies the polarization by an amount P1, which further changes the field by an amount E2, and so on. The resulting field is E0 + E1+ E2 +· · · . Sum the series, and compare your answer with Eq. 4.49.
A sphere of homogeneous linear dielectric material is placed in an otherwise uniform electric field E0 (Fig.4.27). Find the electric field inside the sphere.
Reference example 4.2
Find the electric field produced by a uniformly polarized sphere of radius R.
Reference equation 4.30
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