Question:
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential :
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential :
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Electric field lines run from higher to lower potential; a positively charged body is at higher potential than infinity (\(V_\infty=0\)).
Updated On: Oct 31, 2026
- less than the charged conductor and more than at infinity.
- more than the charged conductor and less than at infinity.
- more than the charged conductor and more than at infinity.
- less than the charged conductor and less than at infinity.
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The Correct Option is A
Solution and Explanation
Take \(V=0\) at infinity. The positively charged conductor is at a potential \(V_1\gt0\).
Field lines start on the positive conductor. Some end on the induced negative charge on the near face of the uncharged conductor; the equal induced positive charge on its far face sends lines on to infinity.
Along a field line potential decreases, so \(V_1\gt V_{uncharged}\) (lines go from the charged conductor to the uncharged one) and \(V_{uncharged}\gt V_\infty=0\) (lines go on from it to infinity).
Thus the uncharged body is at a potential less than the charged conductor but more than at infinity.
Answer: (1) less than the charged conductor and more than at infinity
Field lines start on the positive conductor. Some end on the induced negative charge on the near face of the uncharged conductor; the equal induced positive charge on its far face sends lines on to infinity.
Along a field line potential decreases, so \(V_1\gt V_{uncharged}\) (lines go from the charged conductor to the uncharged one) and \(V_{uncharged}\gt V_\infty=0\) (lines go on from it to infinity).
Thus the uncharged body is at a potential less than the charged conductor but more than at infinity.
Answer: (1) less than the charged conductor and more than at infinity
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