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  4. If the equivalent capacitance between P and Q of the combination of the capacitors shown in figure below is 30 μ F , the capacitor C is

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Q. If the equivalent capacitance between $P$ and $Q$ of the combination of the capacitors shown in figure below is $ 30\,\mu \,F $ , the capacitor $C$ isPhysics Question Image

J & K CETJ & K CET 2011Electrostatic Potential and Capacitance

Solution:

$ C'=C_{1}+C_{2}+C_{3} $
$ =20+20+20 $
$ =60\,\mu F $
$ \frac{1}{C''}=\frac{1}{C'}+\frac{1}{60} $
$ \frac{1}{30}=\frac{1}{C'}+\frac{1}{60} $
$ \frac{1}{C'}=\frac{1}{30}-\frac{1}{60} $
$ \frac{1}{C'}=\frac{2-1}{60} $
$ \frac{1}{C'}=\frac{1}{60} $
$ \Rightarrow $ $ C'=60 $

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