# WHAT  ARE  THE  PROPERTIES OF EQUIPOTENTIAL SURFACES ?????????

Hi Sidra,
Siddhant has given exactly correct answer. Hope, you have got it.
Just want to put answer in compact form
Properties of Equipotential Surfaces:
1.  Work done in moving a test charge over an equipotential surface is zero.
2.  Electric field is normal to the equipotential surface.
3.  These surfaces helps in distinguishing region of strong field from that of weak field.
4.  Equipotential surfaces gives the direction of electric field.
5.  These surfaces never cross each other.
Hope this helps,
Good luck.

@ Siddhant, Well explained!!
Cheers!!

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Equipotential surfaces strictly speaking are orthogonal trajectories of electric field lines(mathematically:- orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles ).Whats it really means is that any electro static(conservative) field line penetrates such a surface normally(i.e. it is locally perpendicular at the point of penetration). 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.Another way of understanding this fact is that since the net electric field vector is perpendicular to the surface and has no component along the surface(i.e. tangential component) so no force acts on a charged particle along the surface and hence no work is done even if the particle is already moving along the surface. Mathematically the gradiant of the surfaces represents the negative of the direction of the net electric field vector consistent with the equation E = -V/r ( bold face represents a vector).

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The above image is a computer generated map of ewuipotential surface(depicted in pink) of a particular static charge configuration. The blue spots represent negative charges n the red ones represent positive charges. The green lines indicate the electric field lines .

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Notice(in the above diagram) that the field lines are perpendicular to the equipotential surfaces at the points of intersection.

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IN AN EQUIPOTENTIAL SURFACE,THE POTENTIAL IS SAME AT ALL THE POINTS OF THE SURFACE.

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thanxxxxxxx  siddhantdas  and  KK385 for answering.... my question.

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