Savchenko Problem 6.6.14

Physics · electromagnetism · modern-physics

Problem

Charges ±\pmq are placed on the plates of a flat capacitor. The gap between the plates is filled with a substance whose dielectric constant changes in the direction perpendicular to the plates according to the law ε\varepsilon = ε0\varepsilon_0 (1 + x)−1^{-1}, where x is the distance to the positive plate, and d is the distance between the plates. Find the volume charge density as a function of x. Area of plates S.

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