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Potential of a Charged Conducting Sphere [or Shell of Charge] #8211; If a charge on a conducting sphere of radius R is Q and σ surface charge density as shown in the figure below, then potential in different situations is as given below: At a point outside the surface, V<sub>out</sub> = 1/4πε<sub>0</sub>times;Q/r = σR<sup>2</sup>/ε<sub>0</sub>r At surface, r = R, V<sub>s</sub> = 1/4πε<sub>0</sub>times;Q/r = σR/ε<sub>0</sub> Inside V<sub>in</sub> = constant = V<sub>s</sub>
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