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CUET · PHYSICS · PYQ PAPER 2025

Two capacitors of capacitance of \( 6 \, \mu\text{F} \) and \( 12 \, \mu\text{F} \) are connected in series with a battery. The voltage across \( 6 \, \mu\text{F} \) capacitor is 2 V. The total voltage across the combination is

  1. A 4 V
  2. B 2 V
  3. C 0.3 V
  4. D 3 V
Verified Solution

Answer & Solution

Correct Answer

(D) 3 V

Step-by-step Solution

Detailed explanation

\( Q = C_1 V_1 = (6 \, \mu\text{F})(2 \, \text{V}) = 12 \, \mu\text{C} \) \( V_2 = Q / C_2 = (12 \, \mu\text{C}) / (12 \, \mu\text{F}) = 1 \, \text{V} \) \( V_{\text{total}} = V_1 + V_2 = 2 \, \text{V} + 1 \, \text{V} = 3 \, \text{V} \)
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