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COMEDK2023Morning ShiftPhysicsCapacitanceActual

In the figure below, the capacitance of each capacitor is 3 F . The effective capacitance between A and B is

Options

  1. A3 F
  2. B5 F
  3. C6 F
  4. D3 4 F

Correct answer

A. 3 F

Step-by-step solution

Let M be the intermediate node between the two middle capacitors. Between A and M: top capacitor and left-middle capacitor are in parallel: C_ AM = 3 + 3 = 6 F Between M and B: right-middle capacitor and bottom capacitor are in parallel: C_ MB = 3 + 3 = 6 F C_ AM and C_ MB are in series: 1 C_ AB = 1 6 + 1 6 = 2 6 = 1 3 C_ AB = 3 F

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