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Capacitance of a Random Conductor

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the space between the plates of a parallel plate capacitor is filled with a dielectric constant that varies as per the relation k(x) = k0 +lambdax (a constant) the capacitance of this capacitor would be related to its vacuum capacitance C0 as per the relation?

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Q. The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation,

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