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This implies that a conductor is an equipotential surface in static situations. There can be no voltage difference across the surface of a conductor, or charges will flow. One of the uses of this fact is that a conductor can be fixed at zero volts by connecting it to the earth with a good conductor—a process called grounding.

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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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Figure 7.31 shows the electric field and equipotential lines for two equal and opposite charges. Given the electric field lines, the equipotential lines can be drawn simply by making them perpendicular to the electric field lines. Conversely, given the equipotential lines, as in Figure 7.32(a), the electric field lines can be drawn by making them perpendicular to the equipotentials, as in Figure 7.32(b).

In this equation, V(P) and V(Q) denote the potential energy of points P and Q, respectively. If the potential energy at these two points is equal, it indicates that they belong to the same equipotential surface. An important characteristic of equipotential surfaces is that the work done in moving a particle along these surfaces is zero, as the potential energy remains constant. Explore equipotential surfaces, their properties, applications, and an example calculation in electric field analysis.

A conductor can be fixed at zero volts by connecting it to the earth with a good conductor—a process called grounding. The total potential difference is 500 V, so 1/5 of the distance between the plates will be the distance between 100-V potential differences. The distance between the plates is 6.5 mm, so there will be 1.3 mm between 100-V potential differences. This must be the energy released by the substance in the form of heat in aligning its dipoles. When an external force acts to do work, moving a body from a point to another against a force like spring force or gravitational force, that work gets collected or stores as the potential energy of the body.

When the external force is excluded, the body moves, gaining the kinetic energy and losing an equal quantity of potential energy. Examples of these forces are spring force and gravitational force. Near a dipole, equipotentials form double-lobed symmetric surfaces, important when working with field lines. When drawing equipotential lines, remember that they do not have arrows since they have no particular direction and are not vectors. “We had just bought our first home together, and he worked hard every single day to make sure our children had what they needed. His death is a senseless tragedy that has left our family shattered.