Equipotential Surfaces

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View this simulation to observe and modify the equipotential surfaces and electric fields for many standard charge configurations. For a uniform electric field E, say, along the x-axis, the equipotential surfaces are planes perpendicular to the x-axis, that is planes parallel to the y-z plane as shown in the above figure. Yes, equipotential surfaces exist for all electric fields, including non-uniform fields.

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The surface charge density is higher at locations with a small radius of curvature than at locations with a large radius of curvature. A two-dimensional map of the cross-sectional plane that contains both charges is shown in Figure 7.34. The line that is equidistant from the two opposite charges corresponds to zero potential, since at the points on the line, the positive potential from the positive charge cancels the negative potential from the negative charge. Equipotential lines in the cross-sectional plane are closed loops, which are not necessarily circles, since at each point, the net potential is the sum of the potentials from each charge. In this example, we have demonstrated how to calculate an equipotential surface for a point charge. The same methodology can be applied to more complex systems, such as multiple charges or other field configurations.

Equipotential surfaces for a dipole are formed by connecting points with the same potential calculated using the dipole formula. You can deepen your understanding by solving problems from electrostatics practice paper or using mock test sets on Vedantu. Venezuelan national Jose Andre Bordones-Molina was injured and has since been released from the hospital, the Dallas County Medical Examiner’s Office announced.

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