Rankers Physics

Uncategorized: Practice Problem & Solution

A parallel plate capacitor of Area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants K1, K2 and K3 as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant K is given by :- (A = Area of plates) Physics diagram: A parallel plate capacitor of Area A, plate
\[\frac{1}{K}=\frac{1}{K_{1}}+\frac{1}{K_{2}}+\frac{1}{2K_{3}}\]
\[\frac{1}{K}=\frac{1}{K_{1}+K_{2}}+\frac{1}{2K_{3}}\]
\[K=\frac{K_{1}K_{2}}{K_{1}+K_{2}}+2K_{3}\]
NOT

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