The diagrams below show regions of equipotentials. A positive charge is moved from A to B in each diagram. Then:
the maximum work is required to move q in figure(iii).
in all four cases, the work done is the same.
the minimum work is required to move q in the figure(i).
the maximum work is required to move q in figure(ii).
The work done () in moving a charge from point A to point B in an electric field is given by the expression , where and are the electric potentials at the final and initial positions, respectively [1]. This work done is independent of the path taken and the shape of the electric field lines or equipotential surfaces [2]. Since the potential difference is the same for all four diagrams (assuming standard potential values usually depicted in this problem, e.g., moving between the same potential values in different field configurations), the work done is identical in all cases.
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