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Undercertaincondinatesthe polarrizationof an infinite unchargeddielectric plate , takesthe formP = P_(0)is a vectorperpendicularto theplate, x is the distance from theof the electricfield insidethe plate and the potentaildifference between its surface. |
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Answer» SOLUTION :Since there are no free extraneous chagres anywhere `di vvec(D) = (del D)/(del X) = 0` or, `D_(x)` = constant But`D_(x) = 0` at `oo`, so`D_(x) = 0`, EVERY where. Thus, `vec(E) = - (vec(P_(0)))/(epsilon_(0)) (1 - (x^(2))/(d^(2)))` or`E_(x) = (P_(0))/(epsilon_(0)) (1 - (x^(2))/(d^(2)))` So, `varphi = (P_(0)x)/(epsilon_(0)) - (P_(0) x^(3))/(3 epsilon_(0) d^(2)) +` constant HENCE,`varphi(+d) - varphi(-d) = (2P_(0))/(epsilon_(0)) - (2 P_(0) d^(3))/(3 d^(2) epsilon_(0)) = (4 P_(0) d)/(3 epsilon_(0))` |
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