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A network of 4 capacitors is connected to a battery as shown. The ratio of the charges on capacitors C ₂ and C ₄ is

Options

  1. A3 13
  2. B3 19
  3. C3 17
  4. D3 22

Correct answer

D. 3 22

Step-by-step solution

Equivalent capacitance for three capacitors C ₁, C ₂ and . C ₃ ) in series is given by array l 1 C _ eq = 1 C ₁ + 1 C ₂ + 1 C ₃ = C ₂ C ₃+ C ₃ C ₁+ C _ C C ₂ C _ C C C ₃ C _ eq = C ₁ C ₂ C ₃ C ₁ C ₂+ C ₂ C ₃+ C ₃ C ₁ C _ eq = C (2 C )(3 C ) C (2 C )+(2 C )(3 C )+(3 C ) C = 6 11 C array Charge on capacitors ( C ₁, C ₂ & C ₃ ) in series = C _ eq V = 6 C 11 v Charge on capacitor C ₄= C ₄ ~V =4 CV Charge onC ₂ Charge onC ₄ = 6 C 11 ~V 4 CV = 6 11 1 4 = 3 22

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