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Q.

Parallel plate capacitor is constructed using three different dielectric materials as shown in fig. The parallel plates, across which a potential difference is applied are of area A cm2 and separated by a distance d cm. The capacitance across AB is

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a

ε0AdK12+K2K3K2+K3

b

ε0AdK12+K2+K3K2K3

c

ε0Ad2K1+K2K3K1+K3

d

ε0Ad2K1+K2+K3K1K3

answer is A.

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Detailed Solution

C1=K1ε0A2d=K2ε0AdC2=K2ε0A2d2=K2ε0Adand   C3=K3ε0AdNow   C=C1+C2C3C2+C3
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Parallel plate capacitor is constructed using three different dielectric materials as shown in fig. The parallel plates, across which a potential difference is applied are of area A cm2 and separated by a distance d cm. The capacitance across AB is