Question 423: Electrostatics & Capacitance

Question

Seven capacitors each of capacitance $2 \mu \mathrm{~F}$ are to be connected in a configuration to obtain an effective capacitance $\left(\frac{10}{11}\right) \mu \mathrm{F}$. The combination is

Accepted Answer

As required, equivalent capacitance should be,
$$ \mathrm{C}_{\mathrm{eq}}=\frac{10}{11} \mu \mathrm{~F} $$
For combination of the five capacitors in parallel and two in series,
$$ \begin{aligned} & 	herefore \quad \frac{1}{C_{	ext {eq }}}=\frac{1}{5 C}+\left[\frac{1}{C}+\frac{1}{C}ight]=\frac{C+10 C}{5 C^2} \ & 	herefore \quad C_{	ext {eq }}=\frac{5 C}{11} \ & \ & \quad=\frac{5 	imes 2}{11} \ & \quad=\frac{10}{11} \mu \mathrm{Fs} \end{aligned} $$
$	herefore \quad$ The required combination is 5 capacitors in parallel and 2 in series

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Electrostatics & Capacitance

Seven capacitors each of capacitance 2 \mu \mathrm{~F} are to be connected in a configuration to obtain an effective capacitance \left(\frac{10}{11}\right) \mu \mathrm{F}. The combination is

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