1.

A uniform dielectric ball is placed in a unifrom electricfileldof strength E_(0). Underthese conditionsteh dielectricbecomespolarizeduniformly. Findthe electricfieldstrength E inside teh ball and thepolarization P of the dielectricwhose permittively equals epsilon. Make use of the reslultobtainedin Problem 3.96

Answer»

SOLUTION :By superposition the field `vec(E)` INSIDE the ball is given by
`vec(E) = vec(E_(0)) - (vec(P))/(3epsilon_(0))`
On the other HAND, if the SPACE is not too small, the macrospic equation `vec(P) = (epsilon - 1) epsilon_(0)vec(E)` 0r, `vec(E) = (3 vec(E_(0)))/(epsilon + 2)`
Also, `vec(P) = 3epsilon_(0) (epsilon - 1)/(epsilon + 2) vec(E_(0))`


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