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MHT CET 2021 (20 Sep, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2021 (20 Sep, Shift 2)

Q67MHT CET 2021 · 20 SEP · SHIFT 2Medium

Combination of Capacitors

In the arrangement of the capacitors as shown in figure, each capacitor is of 6 μ\muF, then equivalent capacity between points A and B is

Figure

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Answer: (d)

  1. A is on the left loop, B on the top-right loop, so C4C_4 is directly between A and B: 6 μF6\ \mu\text{F}.
  2. C1C_1 and C3C_3 both join the middle node to B: 6+6=12 μF6 + 6 = 12\ \mu\text{F}.
  3. In series with C2C_2: 6×1218=4 μF\frac{6\times 12}{18} = 4\ \mu\text{F}.
  4. CAB=6+4=10 μFC_{AB} = 6 + 4 = 10\ \mu\text{F}
  5. So the answer is (d) 10 μ\muF.
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