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A parallel plate capacitor is of area 6c...

A parallel plate capacitor is of area `6cm^2` and a separation 4 mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants `K_1 = 7 , K_2 = 15 " and " K_3 = 5` . The equivalent dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be______.

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`C = 7 xx (A/3 epsi_0)/(d) + 15 xx A/3 (epsi_0)/(d) + 5 xx A/3 (epsi_0)/(d) = 27 xx A/3 (epsi_0)/(d) = (9A epsi_0)/(d)`
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