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MHT CET · Physics · Capacitance

Two condensers of capacities ' \(\mathrm{C}^{\prime}\) and \({ }^{\prime} 2 \mathrm{C}^{\prime}\) are connected in parallel and then in series with \(3^{\text {rd }}\) condenser of capacity '3C'. The combination is charged to 'V' volt. The charge on the condenser of capacity 'C' is

  1. A \(\frac{C V}{3}\)
  2. B \(\frac{C V}{2}\)
  3. C \(2 C V\)
  4. D \(C V\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{C V}{2}\)

Step-by-step Solution

Detailed explanation

\(C_p = C + 2C = 3C\) \(C_{total} = \frac{C_p \times 3C}{C_p + 3C} = \frac{3C \times 3C}{3C + 3C} = \frac{9C^2}{6C} = \frac{3C}{2}\)