Consider a system composed of two metallic spheres of radii \( r_{1} \) and \( r_{2} \) connecte...
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Consider a system composed of two metallic spheres of radii \( r_{1} \) and \( r_{2} \) connected by a thin wire and switch \( S \) as shown in the figure. Initially, \( S \) is in open position, and the spheres carry charges \( q_{1} \) and \( q_{2} \) respectively. If the switch is closed, the potential of the system is
(a) \( \frac{1}{4 \pi \varepsilon_{0}} \frac{q_{1} q_{2}}{r_{1} r_{2}} \)
(b) \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{q_{1}+q_{2}}{r_{1}+r_{2}}\right) \)
(c) \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{q_{1}}{r_{1}}+\frac{q_{2}}{r_{2}}\right) \)
(d) \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{q_{1}+q_{2}}{\sqrt{r_{1} r_{2}}}\right) \)
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