Equipotential Surfaces and Relationship Between Field and Potential An equipotential surface is a surface on a conductor or other object through which an...
An equipotential surface is a surface on a conductor or other object through which an electric field can be made to have zero electric potential. This means that any point on the surface is at the same electric potential as the conductor.
An equipotential surface can be drawn around any point on a conductor, and the field lines always point towards the surface.
Equipotential surfaces are formed by the lines of constant potential, which are the paths that an electric charge would follow if placed on the surface.
The relationship between the electric field and the potential is one of inverse square. This means that the magnitude of the electric field is inversely proportional to the square of the distance from the conductor. This means that the electric field is stronger at closer points and weaker at farther points.
As a result, the potential at any point on an equipotential surface is constant. This means that the potential difference between any two points on the surface is also constant.
Examples:
A point charge creates an equipotential surface surrounding it.
A positively charged conductor becomes an equipotential surface when connected to a positive terminal.
A negatively charged conductor becomes an equipotential surface when connected to a negative terminal.
The potential inside a uniform electric field is constant and equal to the magnitude of the electric field.
The equipotential surface outside a uniformly charged sphere is a sphere with the same charge distribution