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Statement of a problem № 728

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Under certain conditions the polarization of an infinite uncharged dielectric plate takes the form P = P0(1 - x2/d2), where P0 is a vector perpendicular to the plate, x is the distance from the middle of the plate, d is its half-thickness. Find the strength E of the electric field inside the plate and the potential difference between its surfaces.

Solution:
Under certain conditions the polarization of an infinite uncharged dielectric pl

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