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MHT CET 2024 (11 May, Shift 1) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2024 (11 May, Shift 1)

Q30MHT CET 2024 · 11 MAY · SHIFT 1Easy

Combination of Capacitors

When three capacitors of equal capacities are connected in parallel and one of the same capacity, capacitor is connected in series with the combination. The resultant capacity is 4.5 μF4.5\ \mu\text{F}. The capacity of each capacitor is

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Answer: (c)

  1. Three in parallel: 3C3C; in series with CC: Ceq=3C⋅C4C=3C4C_{eq} = \frac{3C \cdot C}{4C} = \frac{3C}{4}.
  2. 3C4=4.5⇒C=6 μF\frac{3C}{4} = 4.5 \Rightarrow C = 6\ \mu\text{F}
  3. So the answer is (c) 6 μF6\ \mu\text{F}.
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