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Dumbbell Equipotential

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Dumbbell Equipotential


1. The problem asks which charge configuration creates a dumbbell-shaped equipotential surface centered on the origin and symmetric about both x and y axes. 2. Equipotential surfaces around point charges depend on the sign and position of the charges. 3. A dumbbell shape symmetric about both axes suggests two opposite charges placed symmetrically along one axis, creating two lobes connected at the origin. 4. Graph B shows two red points (both positive charges) on the vertical axis, which would create symmetric equipotentials but not a dumbbell shape centered on the origin with lobes on the horizontal axis. 5. Graph C shows one positive charge (red) on the positive y-axis and one negative charge (blue) on the negative y-axis, which creates an asymmetric pattern, not matching the dumbbell shape centered on the origin with lobes on the horizontal axis. 6. Graph D shows one negative charge (blue) on the left horizontal axis and one positive charge (red) on the right horizontal axis, which matches the description of a dumbbell-shaped equipotential surface symmetric about both axes. 7. Therefore, the configuration in graph D creates the dumbbell-shaped equipotential surface described. Final answer: Graph D configuration creates the dumbbell-shaped equipotential surface.