Seven capacitors, each of capacitance 2 μ F, are to be connected in a configuration to obtain an effective capacitance of (6/13). Which of the combinations, shown in figures below, will achieve the desired value (a) (b) (c) (d)

Answer: (a). Figure (a): 3 in parallel give 6, followed by four 2 in series. 1/C = 1/6 + 4/2 = 13/6. C = 6/13. So the answer is (a).

Seven capacitors, each of capacitance 2 μ F, are to be connected in a… | JEE Main 2019 (11 Jan, Shift 2)

Q77JEE Main 2019 · 11 JAN · SHIFT 2Medium

Combination of Capacitors

Seven capacitors, each of capacitance 2 $\mu$ F, are to be connected in a configuration to obtain an effective capacitance of $\left(\frac{6}{13}\right)\mu\text{F}.$ Which of the combinations, shown in figures below, will achieve the desired value

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Answer: (a)

Figure (a): 3 in parallel give $6\ \mu\text{F}$ , followed by four $2\ \mu\text{F}$ 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 (a).

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