JEE PYQ: Capacitance Question 38
Question 38 - 2019 (11 Jan Shift 2)
Seven capacitors, each of capacitance 2 $\mu$F, are to be connected in a configuration to obtain an effective capacitance of $\frac{6}{13},\mu$F. Which of the combinations, shown in figures below, will achieve the desired value?
(1) Diamond bridge with series/parallel
(2) Three in parallel, four in series
(3) Specific bridge circuit
(4) Another configuration
Show Answer
Answer: (2)
Solution
Required equivalent capacitance $= \frac{6}{13},\mu$F. Three capacitors must be in parallel and 4 must be in series with it. $\frac{1}{C_{eq}} = \frac{1}{3C} + \frac{1}{C} + \frac{1}{C} + \frac{1}{C}$. $C_{eq} = \frac{3C}{13} = \frac{6}{13},\mu$F [as $C = 2,\mu$F].
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