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Q. A parallel plane condenser is filled with two dielectrics as shown in figure. Area of each plate is A in m2 and the separation is d metre. The dielectric constants are $ {{K}_{1}} $ and $ {{K}_{2}} $ respectively. Its capacitance in farad will be:Physics Question Image

JIPMERJIPMER 2001Electrostatic Potential and Capacitance

Solution:

From the formula $ C=\frac{{{\varepsilon }_{0}}A}{\frac{1}{{{K}_{1}}}+\frac{1}{{{K}_{2}}}}=\frac{{{\varepsilon }_{0}}A}{t}\left( \frac{{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}} \right) $ $ =\frac{2{{\varepsilon }_{0}}A}{d}\left( \frac{{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}} \right) $