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NEET2005PhysicsCapacitanceActual

A network of four capacitors capacity equal C₁=C, C₂=2 C, C₃=3 C and C₄=4 C are conducted to a battery as shown in the figure. The ratio of the change on C₂ and C₄ is:

Options

  1. A4 7
  2. B3 22
  3. C7 4
  4. D22 3

Correct answer

B. 3 22

Step-by-step solution

Here C₁, C₂ and C₃ are in series. 1 C^ = 1 C + 1 2 C + 1 3 C aligned 1 C^ & = 6+3+2 6 C = 11 6 C C & = 6 C 11 aligned All the capacitors in branch number 1 is in series so the charge on each number capacitor is: Q^ = 6 11 C V Also charge on capacitor C₄ is Q=4 V Ratio = Q^ Q = 6 CV 11 4 C V = 3 22

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