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AP Physics 2
10.5 Electric Potential
10.4 Electric Potential Energy
IntermediateMCQMathematicalConceptual20.2k
A schematic diagram showing three horizontal dashed lines representing parallel equipotential surfaces spaced evenly apart vertically. The bottom dashed line is labeled \(20\text{ V}\), the middle dashed line is labeled \(40\text{ V}\), and the top dashed line is labeled \(60\text{ V}\). Path 1 is a straight vertical arrow pointing upward from the \(20\text{ V}\) line to the \(60\text{ V}\) line, labeled Path 1. Path 2 is a smooth curved arrow bowing outward to the right, starting at the \(60\text{ V}\) line and ending at the \(20\text{ V}\) line, labeled Path 2. Path 3 is a wavy, S-shaped arrow starting at the \(60\text{ V}\) line and ending at the \(40\text{ V}\) line, labeled Path 3. Path 4 is a closed circular loop lying between the \(20\text{ V}\) and \(60\text{ V}\) lines, starting and ending at the same point on the \(40\text{ V}\) line, labeled Path 4. Arrowheads show the direction of motion along each path. No other labels, lines, text, or axes appear.
Four paths of a positively charged particle moving through equipotential lines.
Four paths (1, 2, 3, and 4) represent different trajectories along which a particle with positive charge \(+q\) moves in a region containing parallel equipotential surfaces at \(20\text{ V}\), \(40\text{ V}\), and \(60\text{ V}\).

- Path 1 goes directly from the \(20\text{ V}\) surface to the \(60\text{ V}\) surface.
- Path 2 follows a curved trajectory from the \(60\text{ V}\) surface to the \(20\text{ V}\) surface.
- Path 3 follows a winding trajectory from the \(60\text{ V}\) surface to the \(40\text{ V}\) surface.
- Path 4 completes a closed loop that starts and ends on the \(40\text{ V}\) surface.

Which of the following correctly ranks the work \(W\) done by the electric field on the particle along each path from greatest to least?

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