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MHT CET 2019 (2 May, Shift 1) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2019 (2 May, Shift 1)

Q76MHT CET 2019 · 2 MAY · SHIFT 1Medium

Combination of Capacitors

Which of the following combinations of 7 identical capacitors each of $2\ \mu\text{F}$ gives a resultant capacitance of $10/11\ \mu\text{F}$ ?

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Answer: (d)

5 in parallel: $10\ \mu\text{F}$ ; then 2 of $2\ \mu\text{F}$ in series.
$\frac{1}{C} = \frac{1}{10} + \frac{2}{2} = \frac{11}{10}$ .
$C = \frac{10}{11}\ \mu\text{F}$ .
So the answer is (d) 5 in parallel and 2 in series.

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