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COMEDK2019PhysicsCapacitance

Effective capacitance between A and B in the figure shown is (all capacitances are in F )

Options

  1. A21 F
  2. B23 F
  3. C3 14 F
  4. D14 3 F

Correct answer

D. 14 3 F

Step-by-step solution

The given combination is a balanced condition of Wheatstone bridge because potential at C and D points is same. Hence, the 2 F capacitor can be neglected. The equivalent circuit is given by the figure below In the upper arm capacitors 3 F and 6 F are connected in series and similarly in lower arm capacitors 4 F and 8 F are connected in series. The equivalent capacitance is given by aligned 1 C₁ &= 1 3 + 1 6 = 2+1 6 = 3 6 C₁ &=2 F aligned array ll and & 1 C₂ = 1 4 + 1 8 = 2+1 8 = 3 8 C₂ & = 8 3 F array The reduced c

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