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COMEDK2022PhysicsCapacitance

In the network shown in figure, the equivalent capacitance between points P and Q is

Options

  1. A1 F
  2. B2 F
  3. C3 F
  4. D4 F

Correct answer

A. 1 F

Step-by-step solution

Simplify from right to left. Rightmost section: 3 F , 3 F , 3 F in series (path B C D E ): 1 C_ eq1 = 1 3 + 1 3 + 1 3 = 1 C_ eq1 = 1 F This 1 F is in parallel with 2 F (between B and E ): C_ BE = 1 + 2 = 3 F Next section: 3 F , 3 F ( C_ BE ), 3 F in series (path A B E F ): 1 C_ eq2 = 1 3 + 1 3 + 1 3 = 1 C_ eq2 = 1 F This 1 F is in parallel with 2 F (between A and F ): C_ AF = 1 + 2 = 3 F Final section: 3 F (at P ), 3 F ( C_ AF ), 3 F (at Q ) in series: 1 C_ PQ = 1 3 + 1 3 + 1 3 = 1 C_ PQ = 1 F Correct option: (1)

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