A parallel-plate capacitor is connected to a cell. Its positive plate \( A \) and its negative p...

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A parallel-plate capacitor is connected to a cell. Its positive plate \( A \) and its negative plate \( B \) have charges \( +\mathrm{Q} \) and \( -\mathrm{C} \) respectively. A third plate \( \mathrm{C} \), identical to \( \mathrm{A} \) and \( \mathrm{B} \), with charge \( +\mathrm{Q} \), is now introduced
\( P \) midway between \( \mathrm{A} \) and \( \mathrm{B} \), parallel to them. Which of the following are correct?

W.
(A) The charge on the inner face of \( B \) is now \( -\frac{3 Q}{2} \)
(B) There is no change in the potential difference between A and B.
(C) The potential difference between \( \mathrm{A} \) and \( \mathrm{C} \) is one-third of the potential difference between \( \mathrm{B} \) and \( \mathrm{C} \).
(D) The charge on the inner face of \( \mathrm{A} \) is now \( \mathrm{Q} / 2 \).
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