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AP Physics C: E&M
9.2 Electric Potential
9.1 Electric Potential Energy
IntermediateMCQMathematicalConceptual17.8k
Four paths between two equipotential surfaces in a non-uniform field.
Four paths between two equipotential surfaces in a non-uniform field.
Two equipotential surfaces in a region of non-uniform electric field have potentials \(V_A = 60\text{ V}\) and \(V_B = 20\text{ V}\), as shown in the diagram. A point charge \(+q\) is moved from the \(V_A\) surface to the \(V_B\) surface along four distinct paths labeled 1, 2, 3, and 4. Path 1 is a direct straight path in a region of higher electric field magnitude, Path 2 is a direct straight path in a region of lower electric field magnitude, Path 3 is a smooth curved path, and Path 4 is an indirect winding path. Which of the following correctly ranks the work \(W_1\), \(W_2\), \(W_3\), and \(W_4\) done by the electric field on the charge along each path?

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