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Space between the plates of a parallel p...

Space between the plates of a parallel plate capacitor is filled with a dielectric whose dielectric constant varies with distance as per the relation: `K(X)=K_(0)+lambdaX`,
(`lambda=` constant, `K_(0)=` constant, X is perpendicular distance from one plate to a point inside dielectric). The capacitance `C_(1)` of this capacitor, would be related to its vacuum capacitance `C_(0)` per the relation (d = plate separation):

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