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Question: Answered & Verified by Expert
Two capacitors of capacities $\mathrm{C}$ and $2 \mathrm{C}$ are connected in parallel and then connected in series with a third capacitor of capacity $3 \mathrm{C}$. The combination is charged with $\mathrm{V}$ volt. The charge on capacitor of capacity $\mathrm{C}$ is
PhysicsCapacitanceVITEEEVITEEE 2011
Options:
  • A $\frac{1}{2} \mathrm{CV}$
  • B $\mathrm{CV}$
  • C $2 \mathrm{CV}$
  • D $\frac{3}{2} \mathrm{CV}$
Solution:
1650 Upvotes Verified Answer
The correct answer is: $\frac{1}{2} \mathrm{CV}$
In parallel combination, the potential difference across each individual capacitor is the same as the potenital difference across the combination.
So, potential difference across capacitor of capacity $\mathrm{C}$ is $\frac{V}{2}$.
Charge on capacitor, $\mathrm{C}=\frac{Q}{V}$
$\therefore$ Charge on capacitor of capacity $\mathrm{C}=\frac{C V}{2}$

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