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.

The electric lines of force at any point on the equipotential surfaces. Any surface with the same electric potential at every point is known as an equipotential surface. You will find its definition along with important properties and solved problems here. If ϕ 1 and ϕ 2 are equipotential surfaces then the potential difference v c v a is. 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.

Because a conductor is an equipotential it can replace any equipotential surface. In moving from a to b along an electric field line the work done by the electric field on an electron is 6. 4 1 0 1 9 j. This is because there is no potential gradient along any direction parallel to the surface and so no electric field parallel to the surface.

Equipotential or isopotential in mathematics and physics refers to a region in space where every point in it is at the same potential. In this case the equipotential surfaces are spheres are on the center of the charge. Because a conductor is an equipotential it can replace any equipotential surface. This means that the electric lines of force are always at right angle to the equipotential surface.

The figure below shows the equipotential surfaces in dashed lines and electric field lines in solid lines produced by a positive point charge. 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. In two examples show graphically the analytical calculus.

Visit us to know more about equipotential surface and their properties. Movement along an equipotential surface needs no work since such movement is always perpendicular to the electric field.