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MHT CET 2023 (14 May, Shift 1) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2023 (14 May, Shift 1)

Q41MHT CET 2023 · 14 MAY · SHIFT 1Medium

Combination of Capacitors

Which of the following combination of 7 identical capacitors each of 2 μF2\ \mu\text{F} gives a capacitance of 1011 μF\frac{10}{11}\ \mu\text{F}?

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Answer: (a)

  1. 5 in parallel: 10 μF10\ \mu\text{F}; then 2 of 2 μF2\ \mu\text{F} in series.
  2. 1C=110+22=1110\frac{1}{C} = \frac{1}{10} + \frac{2}{2} = \frac{11}{10}.
  3. C=1011 μFC = \frac{10}{11}\ \mu\text{F}.
  4. So the answer is (a) 5 in parallel and 2 in series.
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