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MHT CET20228 Aug 2022Morning ShiftPhysicsCapacitanceActual

The network of six capacitors is as shown in figure. The equivalent capacitance between A and B is

Options

  1. A2 C 3
  2. B4 C 3
  3. C2C
  4. D3C

Correct answer

D. 3C

Step-by-step solution

Consider the following diagram with nodes Q having same potential due to the symmetry of the circuit: Taking the similar nodes together the equivalent diagram can be drawn as: Therefore, the eqiuvalent capacitance between AQ =3 C+2 C+C=6 C the equivalent capacitance between QB =3 C+2 C+C=6 C Now, for equivalent capacitance between A B aligned & 1 C_ AB = 1 6 C + 1 6 C = 1 3 C & C_ AB =3 C aligned

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