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Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors

Determine the equivalent capacitance between the terminals A and B for the capacitor network illustrated in the diagram.

Options

  1. A1 F
  2. B2 F
  3. C1.5 F
  4. D0.5 F

Correct answer

A. 1 F

Step-by-step solution

Starting from the left end of the given capacitor network, the leftmost vertical capacitor ( 2 F ) and the adjacent horizontal capacitor ( 2 F ) are connected in series. Their equivalent capacitance is: C₁ = 2 2 2 + 2 = 1 F This equivalent capacitor C₁ is in parallel with the first vertical 1 F capacitor. Their equivalent capacitance is: C₂ = 1 + 1 = 2 F Now, C₂ is in series with the next horizontal 2 F capacitor. Their equivalent capacitance is: C₃ = 2 2 2 + 2 = 1 F This equivalent capacitor C₃ is in parallel with

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