First slide
Capacitance
Question

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

Moderate
Solution

C1=K1ε0A2d=K2ε0AdC2=K2ε0A2d2=K2ε0Ad
and   C3=K3ε0Ad
Now   C=C1+C2C3C2+C3

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