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Utilizingthe solutionof the foregoingproblemm,find teh electric field strengthE_(0)in a sphericalcavityin an inifitestaticallypolarizedunifromdielectricif the dielectricpolarizationis P, and far fromthe cavity the field strength is E. |
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Answer» <P> Solution :The electric FIELD `VEC(E_(0))` in a spherical cavity in a uniform dielectric of permitivity `epsilon` is related to the FAR away field `vec(E)`, in the followingmanner. Imaginethe cavityto be filledup with the dielectric. Then there will be a uniform field `vec(E)` everywhere and a ploarization `vec(P)`, given by,`vecc(P) = (epsilon - 1) epsilon_(0) vec(E)` Now take out the sphere making the cavity, the electric field inside teh sphere will be`- (vec(P))/(3epsilon_(0))` By SUPERPOSITION `vec(E_(0)) - (vec(P))/(3epsilon_(0)) = vec(E)` or, `vec(E_(0)) = vec(E) + (1)/(3) (epsilon - 1) vec(E) = (1)/(3) (epsilon + 2) vec(E)` 
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