Equipotential Surface: Meaning, Properties & Examples for JEE NEET

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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.

The equipotential surface through a point is normal to the electric field at that location for any charge arrangement. Because a conductor is an equipotential, it can replace any equipotential surface. (a) These equipotential lines might be measured with a voltmeter in a laboratory experiment.

The equipotential lines around the heart, the thoracic region, and the axis of the heart are useful ways of monitoring the structure and functions of the heart. An electrocardiogram (ECG) measures the small electric signals being generated during the activity of the heart. More about the relationship between electric fields and the heart is discussed in Energy Stored in Capacitors.

Figure 2 shows the electric field and equipotential lines for two equal and opposite charges. Conversely, given the equipotential lines, as in Figure 3a, the electric field lines can be drawn by making them perpendicular to the equipotentials, as in Figure 3b. An isolated point charge Q with its electric field lines in blue and equipotential lines in green. The potential is the same along each equipotential line, meaning that no work is required to move a charge anywhere along one of those lines. Work is needed to move a charge from one equipotential line to another. Equipotential lines are perpendicular to electric field lines in every case.

Move point charges around on the playing field and then view the electric field, voltages, equipotential lines, and more. One of the most important cases is that of the familiar parallel conducting plates shown in Figure 4. The electric field and equipotential lines between two metal plates.

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Moving a charge from the centre to the surface requires no effort. The electric field lines and equipotential lines for two equal but opposite charges. The equipotential lines can be drawn by making them perpendicular to the electric field lines, if those are known.

Two very large metal plates are placed 2.0 cm apart, with a potential difference of 12 V between them. Consider one plate to be at 12 V, and the other at 0 V. (a) Sketch the equipotential surfaces for 0, 4, 8, and 12 V. (b) Next sketch in some electric field lines, and confirm that they are perpendicular to the equipotential lines. An equipotential surface is a three-dimensional region in space where the potential energy of a particle remains constant. This concept plays a crucial role in various fields such as physics and engineering, particularly in the study of electric and gravitational fields. In this article, we will explore the fundamental aspects of equipotential surfaces and their implications in different contexts.

To improve your intuition, we show a three-dimensional variant of the potential in a system with two opposing charges. Figure 7.33 displays a three-dimensional map of electric potential, where lines on the map are for equipotential surfaces. The hill is at the positive charge, and the trough is at the negative charge. Note that the cut off at a particular potential implies that the charges are on conducting spheres with a finite radius. One of the rules for static electric fields and conductors is that the electric field must be perpendicular to the surface of any conductor.