The Electric Lines Of Force At Any Point On The Equipotential Surfaces

Because a conductor is an equipotential it can replace any equipotential surface.

The electric lines of force at any point on the equipotential surfaces.

For example in figure 1 a charged spherical conductor can replace the point charge and the electric field and potential surfaces outside of it will be unchanged confirming the contention that a spherical charge distribution is equivalent to a point charge at its center. Because a conductor is an equipotential it can replace any equipotential surface. You will find its definition along with important properties and solved problems here. Equipotential surface is one of the main topics in electrostatics.

The figure below shows the equipotential surfaces in dashed lines and electric field lines in solid lines produced by a positive point charge. This is because there is no potential gradient along any direction parallel to the surface and so no electric field parallel to the surface. Visit us to know more about equipotential surface and their properties. In two examples show graphically the analytical calculus.

Movement along an equipotential surface needs no work since such movement is always perpendicular to the electric field. If an object with charge 2 nc moves from a location that has a potential of 20 v to a location with a potential of 10 v what has happened to the potential energy of the system. 4 1 0 1 9 j. For example in figure pageindex 1 a charged spherical conductor can replace the point charge and the electric field and potential surfaces outside of it will be unchanged confirming the contention that a spherical charge distribution is equivalent to a point charge at its center.

The equipotential surfaces are drawing from any point by found another near with equal potential on infinitesimal circular environment. This usually refers to a scalar potential in that case it is a level set of the potential although it can also be applied to vector potentials an equipotential of a scalar potential function in n dimensional space is typically an n 1 dimensional space. If ϕ 1 and ϕ 2 are equipotential surfaces then the potential difference v c v a is. Any surface with the same electric potential at every point is known as an equipotential surface.

In this case the equipotential surfaces are spheres are on the center of the charge. This means that the electric lines of force are always at right angle to the equipotential surface.