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JEE Main 2014 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2014

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: (λ = a constant). The capacitance C, of the capacitor, would be related to its vacuum capacitance for the relation :

Answer: (3)

Solution

Treat the gap as a stack of thin slabs in series: . Hence $C =

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Question ID VK-104541