Explain series and parallel combination of capacitors.

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Solution

$\begin{figure} \epsfysize =2.5in \centerline{\epsffile{cap1.eps}} \end{figure}$
The equivalent capacitance of two capacitors connected in parallel is the sum of the individual capacitances.
$\begin{displaymath} C_{\rm eq} = C_1 + C_2. \end{displaymath}$
$\begin{figure} \epsfysize =1in \centerline{\epsffile{cap2.eps}} \end{figure}$
The reciprocal of the equivalent capacitance of two capacitors connected in series is the sum of the reciprocals of the individual capacitances.
$\begin{displaymath} \frac{1}{C_{\rm eq}} = \frac{1}{C_1} + \frac{1}{C_2}. \end{displaymath}$

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Explain series and parallel combination of capacitors.

The equivalent capacitance of two capacitors connected in parallel is the sum of the individual capacitances. The reciprocal of the equivalent capacitance of two capacitors connected in series is the sum of the reciprocals of the individual capacitances.