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AIIMS2006PhysicsCapacitance

Five capacitors, each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P and R , and the capacitance between P and Q is

Options

  1. A3: 1
  2. B5: 2
  3. C2: 3
  4. D1: 1

Correct answer

C. 2: 3

Step-by-step solution

Between the points P and Q , a capacitor C₁ and series combination of C₂, C₃, C₄, C₅ are connected in parallel. 1 C_s = 1 C₂ + 1 C₃ + 1 C₄ + 1 C₅ = 1 C + 1 C + 1 C + 1 C = 4 C or, C_s=C / 4 . The equivalent capacitance between P and Q is C^ =C₁+C_s=C+ C 4 = 5 C 4 . Between the points P and R a series combination of C₁, C₂ and a series combination of C₃, C₄, C₅ are connected in parallel. aligned & 1 C_s^ = 1 C₁ + 1 C₂ = 1 C + 1 C = 2 C or, C_s^ = C 2 & 1 C_s^ = 1 C₃ + 1 C₄ + 1 C₅ = 1 C + 1 C + 1 C = 3 C or, C_s^ = C

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