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Potential energy of a system comprising of point charges is \( U_{1} \). When a charge \( q \) is added in the system without disturbing other charges, the potential energy becomes \( \mathrm{U}_{2} \). The potential of the point
\( \mathrm{P} \) where the charge \( \mathrm{q} \) is placed in the system is

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(A) \( \frac{U_{2}-U_{1}}{q} \)
(B) \( \frac{U_{1}-U_{2}}{q} \)
(C) \( \frac{U_{1}+U_{2}}{2 q} \)
(D) \( \frac{U_{2}-U_{1}}{2 q} \)
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