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CUET · PHYSICS · PYQ PAPER 2025

Two capacitors of capacitances C and 4C at potentials 40 V and 60 V, respectively are connected in parallel. The common potential of the combination is

  1. A 48 V
  2. B 68 V
  3. C 50 V
  4. D 56 V
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Answer & Solution

Correct Answer

(D) 56 V

Step-by-step Solution

Detailed explanation

\( V_{common} = \frac{C_1 V_1 + C_2 V_2}{C_1 + C_2} \) \( V_{common} = \frac{(C)(40 \, \text{V}) + (4C)(60 \, \text{V})}{C + 4C} \) \( V_{common} = \frac{40C + 240C}{5C} \) \( V_{common} = \frac{280C}{5C} \) \( V_{common} = 56 \, \text{V} \)
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