New york university 1 ly institute of matliematlcal sciences division of electromagnetic reseorcli research report no em 71 the effect of discontinuities of dielectric constant on electrostatic fields near conductors s n karp 5 1955 contract no. Dielectric constant is proportional to the ratio of polarization density p and electric field e which means dielectric constant is inversely proportional to electric field the electric field e inside a conductor is always zero under the static situation so the dielectric constant for conductor is infinite. A fast algorithm for treating dielectric discontinuities in charged piecewise constant dielectric function which takes for the greens function is exact at the conductor limit of the bulk solvent however it is an approximation for. A perfect conductor has a dielectric constant of 1 ie equal to vacuum the higher the dielectric constant the close the dipoles in the material are phase shifted from the signal in pi 2. The constant of proportionality involves among other things the dielectric constant of the object and it also depends upon the size and shape of the object fig 10 9 the force on a dielectric sheet in a parallel plate capacitor can be computed by applying the principle of energy conservation
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