JEE Advanced 2019 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Advanced 2019

A parallel plate capacitor of capacitance has spacing between two plates having area . The region between the plates is filled with dielectric layers, parallel to its plates, each with thickness . The dielectric constant of the layer is . For a very large (), the capacitance is . The value of will be . [ is the permittivity of free space]

Answer: 1

Solution

The layers are in series: . For large the sum becomes an integral

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Question ID VK-026823