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Electrostatics: Dielectric and Polarization

Q- Two parallel conducting plates are separated by distance d and the potential difference between them is V. A dielectric slab of dielectric constant k and uniform thickness nearly d is inserted between the plates. As the dielectric slab is not smooth enough, it touches the plates in some regions and there are some tiny gaps. Neglecting edge effects

(a) Find the electric filed in the dielectric and in the tiny gaps

(b) Find the charge density on the plate at parts in contact with the slabe and at the parts of gaps.

(c) Find the polarization charge density on the dielectric surface.

Solution:

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