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Question

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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