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The gap between the plates of a parallel...

The gap between the plates of a parallel-plate capacitor is filled up with an inhomongeous poorly conducting medium whose conductivity varies lineraly in the direaction perpendicular to the plates form the `sigma_(1) = 1.0 pS//m to sigma_(2) = 2.0 pS//m`. Each plate has an area `S = 230 cm^(2)`, and the separation between the plates is `d = 2.0 mm` . Find teh current flowing thorugh the capacitor due to a voltage `V = 300 V`.

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