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

If ϕ 1 and ϕ 2 are equipotential surfaces then the potential difference v c v a is.

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. In two examples show graphically the analytical calculus. Because a conductor is an equipotential it can replace any equipotential surface. Electric field lines are always perpendicular to equipotential surfaces and point toward locations of lower potential.

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. The figure below shows the equipotential surfaces in dashed lines and electric field lines in solid lines produced by a positive point charge. Any surface with the same electric potential at every point is known as an equipotential surface.

Equipotential or isopotential in mathematics and physics refers to a region in space where every point in it is at the same potential. 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. This means that the electric lines of force are always at right angle to the equipotential surface. 4 1 0 1 9 j.

Because a conductor is an equipotential it can replace any equipotential surface. Equipotential surface is one of the main topics in electrostatics. This is because there is no potential gradient along any direction parallel to the surface and so no electric field parallel to the surface. In moving from a to b along an electric field line the work done by the electric field on an electron is 6.

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. Movement along an equipotential surface needs no work since such movement is always perpendicular to the electric field.