Properties of equipotential surface

LEARNING OBJECTIVES By the end of this section, you will be able to: • Define equipotential surfaces and equipotential lines • Explain the relationship between equipotential lines and electric field lines • Map equipotential lines for one or two point charges • Describe the potential of a conductor • Compare and contrast equipotential lines and elevation lines on topographic maps We can represent electric potentials (voltages) pictorially, just as we drew pictures to illustrate electric fields. This is not surprising, since the two concepts are related. Consider equipotential surfaces in three dimensions, or equipotential lines in two dimensions. The term equipotential is also used as a noun, referring to an equipotential line or surface. The potential for a point charge is the same anywhere on an imaginary sphere of radius rsurrounding the charge. This is true because the potential for a point charge is given by and thus has the same value at any point that is a given distance from the charge. An equipotential sphere is a circle in the two-dimensional view of (Figure 3.5.1) Figure 3.5.1 An isolated point charge 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. For ...

• Physics • Fields in Physics • Equipotential Surface Equipotential Surface Imagine you are at a campfire with your friends during winter. It's warm enough right next to the fire, however, the further away you sit, the less heat reaches you. So, you decided to make a seating arrangement near the fire. You make everyone sit at the same distance from the fire in a circle such that everyone feels the same… Equipotential Surface • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Imagine yo...

What are equipotential surfaces give any 3 Properties of them? (1) No work is done in moving a test charge from one point to another on an equipotential surface. (2) The electric field is always perpendicular to the element dl of the equipotential surface. (3) Equipotential surfaces indicates regions of strong or weak electric fields. (4) Equipotential surfaces cannot intersect. What is equipotential surface and its properties Class 12? Equipotential surface is a surface where all the points lying on the surface have the same electric potential. This means that a charge will have the same potential energy at every point on the equipotential surface. What is equipotential surface mention its two properties? Some important properties of equipotential surfaces : Work done in moving a charge over an equipotential surface is zero. The electric field is always perpendicular to an equipotential surface. The spacing between equipotential surfaces enables us to identify regions of strong and weak fields. What is meant by equipotential surfaces? The surface which is the locus of all points which are at the same potential is known as the equipotential surface. In other words, any surface with the same electric potential at every point is termed as an equipotential surface. READ: Is Jimmy Smith Jr Eminem? Which of the following is not the property of equipotential surfaces? For a uniform electric field they are concentric spheres is NOT the property of equipotential surface. Statement...

Equipotential surfaces can be shown as lines in two dimensions to provide a quantitative way of viewing electric potential. Every point on a given line is at the same potential. Equipotential surfaces are the orthogonal trajectories (family of curves in the plane that intersect another family of curves at right angles) of electric field lines. Any electrostatic (conservative) field line penetrates such a surface normally (perpendicularly). The electric field is always perpendicular to the equipotential surface which means that a charged particle moving along a equipotential surface always moves perpendicular to the electric force, therefore the electric force doesn't work on the particle moving along the equipotential surface. The value of electrostatic potential at any two or more given points on such a surface is the same and is a constant. The work done by the field force in moving a charge along this surface is zero because there is no difference in potential between the initial and final points. Equipotential surfaces have to do with the change in electric potential. That is, as you go from one equipotential surface to another, the electric potential changes. When a charge moves from one equipotential surface to another either its kinetic energy increases (if the change is from a higher to a lower potential) or work must be done on it (if the change is from a lower to a higher potential). The electric force, like the gravitational force, is conservative. That is, if y...

(1) No work is done in moving a test charge from one point to another on an equipotential surface. (2) The electric field is always perpendicular to the element dl of the equipotential surface. (3) Equipotential surfaces indicates regions of strong or weak electric fields. (4) Equipotential surfaces cannot intersect. Categories • • (31.9k) • (8.8k) • (764k) • (261k) • (257k) • (218k) • (248k) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • (25.7k) • (530) • (84) • (765) • (49.1k) • (63.8k) • (1.8k) • (59.3k) • (24.5k)

Properties of equipotential surfaces (i) The work done to move a charge q between anytwo points A and B, W = q (V B – V A). If the points A and B lie on the same equipotential surface, work done is zero because V B – V A (ii) The electric field is normal to an equipotential surface. If it is not normal, then there is a component of the field parallel to the surface. Then work must be done to move a charge between two points on the same surface. This is a contradiction. Therefore the electric field must always be normal to an equipotential surface. Categories • • (31.9k) • (8.8k) • (764k) • (248k) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • (25.7k) • (530) • (84) • (765) • (49.1k) • (63.8k) • (1.8k) • (59.3k) • (18.5k) • (1.5k) • (1.9k) • (197) • (163) • (160) • (193) • (115) • (277) • (159) • (128) • (165) • (63) • (43) • (4.3k) • (1.3k) • (1.4k) • (867) • (1.0k) • (1.5k) • (812) • (1.2k) • (1.7k) • (965) • (18.6k) • (6.1k) • (3.7k) • (4.4k) • (4.2k) • (3.8k) • (24.5k)

Inside Story • • • • • • • • EQUIPOTENTIAL SURFACE It is a self defined term, equipotential surface – means, surface which having the same In other words it can be defined as – The surface which is the locus of all the points having same electrostatic potential is called equipotential surface. On the equipotential surface if we move any charge particles from one point to another point then there is no work done required to move it. We can draw equipotential surfaces through any region, in which there is electric field. If all the points with same electrostatic potential in electric field are joined together then we obtained an equipotential surface. TYPES OF EQUIPOTENTIAL SURFACES EQUIPOTENTIAL POINT If the points in an Equipotential surface of a point charge EQUIPOTENTIAL LINE If all the points having equal potential in electric field (equipotential points) are connected by a line or a curve then it is called equipotential line. If this point is charge then it will be equipotential line charge. The equipotential surface of a line charge is cylindrical shapes. EQUIPOTENTIAL SURFACE AND VOLUME If all the equipotential points lies on the surface then it is called equipotential surface. Further if all these equipotential points are distributed throughout the space or volume then it is called equipotential volume. WORK DONE IN EQUIPOTENTIAL SURFACE We know that in any equipotential surfaces all points have same the electrostatic potential. In such surface if we try to move any...

A basic definition of work is that when a force moves an object against an external force, the work done gets stored in the object as potential energy. This energy is released in the form of kinetic energy when the work’s external force is removed. For example, if a spring is pushed against itself, it will spring back when the force holding it is removed. Work was done against the spring, which was released as potential energy and converted to kinetic energy when the external force was removed. However, this is possible only when there is some work done. There is no work done in equipotential surfaces in moving a particle from one point to another. Equipotential surfaces A collection of space points with equal potential is called an equipotential surface. This means that all through the surface, the potential is constant. There are many implications of this but let us first consider the potential of a single charge denoted by q. The following equation can give this charge It has been observed using the above equation that V remains constant if r does not change. This observation shows that equipotential surfaces exist in concentric circles around the charge. The electric field is always perpendicular to an equipotential surface. Whether the charge is positive or negative, the electric field lines radiate towards or away from the charge. The electric field lines are radial as the electric field is always perpendicular to the equipotential surface, which is in the form of co...