Seven capacitors each of capacitance 2 are connected in a configuration to obtain an effective capacitance 6/13. The combination which will achieve this will have (a) 5 capacitors in parallel and then 2 capacitors series. (b) 4 capacitors in parallel and then 3 capacitors series. (c) 3 capacitors in parallel and then 4 capacitors in series. (d) 2 capacitors in parallel and then 5 capacitors in series.

Answer: (c). 3 in parallel: 6; then 4 of 2 in series. 1/C = 1/6 + 4/2 = 13/6. C = 6/13. So the answer is (c).

Seven capacitors each of capacitance 2 are connected in a… | MHT CET 2024 (10 May, Shift 1)

Q31MHT CET 2024 · 10 MAY · SHIFT 1Medium

Combination of Capacitors

Seven capacitors each of capacitance $2\ \mu\text{F}$ are connected in a configuration to obtain an effective capacitance $\frac{6}{13}\ \mu\text{F}$ . The combination which will achieve this will have

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Answer: (c)

3 in parallel: $6\ \mu\text{F}$ ; then 4 of $2\ \mu\text{F}$ in series.
$\frac{1}{C} = \frac{1}{6} + \frac{4}{2} = \frac{13}{6}$ .
$C = \frac{6}{13}\ \mu\text{F}$ .
So the answer is (c).

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