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A parallel plate capacitor of area A and...

A parallel plate capacitor of area A and separation d is charged to potential difference V and removed from the changing source. A dielectric slab of constant K =2, thickness d and are area `(A)/(2)` is inserted, as shown in the figure. Let `sigma_(1)` be free charge density at the conductor-dielectric surface and `sigma_(2)` be the charge density at the conductor-vacuum surface

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