The capacitance of the parallel plate capacitor is filled with three dielectrics of dielectric constant K1, K2 and K3 as shown in figure is

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ε0AdK1K2K3K3K2+K3K1+2K1K2

ε0AdK3K2+K3K1+2K1K22K1+K2

ε0AdK12+K22+K32K1+K2+K3

ε0AdK1K2+K2K3+K3K12K1+K2+K3

answer is B.

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Detailed Solution

C1 and C2 are in seriesC1=ε0K1Ad&C2=ε0K2Ad 1C=1C1+1C2C' and C3 are connected in parallelC=C3+C′=C3+C1C2C1+C2=ε0AdK3K2+K3K1+2K1K22K1+K2