Polarization of sphere a sphere of dielectric constant E is placed in a uniform external electric field

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Polarization of sphere a sphere of dielectric constant E is placed in a uniform external electric field E0

(a) What is the volume average electric field E in the sphere?

(b) Show that the polarization in the sphere is P = XE0/ [l+ (4πX/3] where X = (ε – 1)/4π.

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