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AP EAMCET202420 May 2024Evening ShiftPhysicsCapacitanceActual

Three parallel plate capacitors of capacitances 4 ~F , 6 ~F and 12 ~F are first connected in series and then in parallel. The ratio of the effective capacitances in the two cases is

Options

  1. A1: 11
  2. B5: 8
  3. C3: 7
  4. D4: 9

Correct answer

A. 1: 11

Step-by-step solution

For parallel combination of capacitors, C_p=C₁+C₂+C₃=4+6+12=22 ~F For series combination of capacitors, aligned & 1 C ₅ = 1 C ₁ + 1 C ₂ + 1 C ₃ = 1 4 + 1 6 + 1 12 = 1 2 & C ₅=2 ~F & C _ s C _ p = 2 22 =1: 11 aligned

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