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General Physics

is it possible for a material to have a polarization field greater than the applied field?

Profile image of shalini
12 Years agoGrade
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1 Answer

Profile image of Saurabh Koranglekar
6 Years ago
Consider parallel plate capacitor with dielectric in between the plates. LetE0E0be the field in a dielectric due to charge on the parallel capacitor plates, andEdEdthe field due to the dielectric (in fact, due to the polarization charge on its faces). In this case, it can be shown that the depolarization field is given by the formulaEd=−(ϵr−1)E0.Ed=−(ϵr−1)E0.Water has relative permittivityϵr=80ϵr=80at temperature 20 °C, which means that when used as dielectric between the capacitor plates, the depolarization field is 79 times stronger than the external fieldE0E0. This is not a manifestation of creation of energy. The strong depolarization field is due to high electric moment of water molecules, which due to random orientation cancel each other macroscopically if there is no external electric field, but partially align their orientations if the external field is present. The electrostatic energy of the resulting total electric field comes from the work done to charge the capacitor and some possibly also from the internal energy of the water.