# How Is a Uniform Electric Field Represented With Equipotential Lines?

September 15, 2022

While we use blue arrows to represent the strength and direction of the electric field, we use green lines to represent locations where the electric potential is constant. These are called equipotential lines in two dimensions or equipotential surfaces in three dimensions.

## How is the electric field related to the equipotential lines?

Electric field lines start at positive charges and radiate away from them to negative charges, where they end. 3. Equipotential lines are lines connecting points of equal electric potential. All electric field lines perpendicularly cross all equipotential lines.

## What is the equipotential surface for uniform electric field?

For an isolated point charge, the equipotential surface is a sphere. i.e. concentric spheres around the point charge are distinct equipotential surfaces. In a uniform electric field, every plane perpendicular to the field direction is an equipotential surface.

## How is an electric field directed with respect to equipotential lines?

The equipotential lines can be drawn by making them perpendicular to the electric field lines if these are known. Note that the potential is highest (most positive) near the positive charge and lowest (most negative) near the negative charge.

## Why is the electric field perpendicular to equipotential lines?

An equipotential surface is circular in two dimensions. Because the electric field lines are directed radially away from the charge, they oppose the equipotential lines. Therefore the electric field is perpendicular to the equipotential surface.

## What will be the shapes of equipotential surfaces in case of a uniform field and a point charge discuss?

The shape of the equipotential surface is in the form of concentric spherical shells. The electric field decreases as we move away from the point charge.

## Why do equipotential surface due to a uniform electric field not intersect each other?

The equipotential surfaces due to a uniform electric field do not intersect because two different equipotential surfaces have different electric potentials, so if they intersect, the intersection point has two different potentials at the same point, which is not possible.

## Is electric field constant on equipotential surface?

Uniform field means a constant field at each point and it is directed in a fixed direction for all points. Equipotential surfaces must therefore be flat surfaces. The electric field is always perpendicular to the equipotential surface because E =−∇ V.

## Why electric field is always normal to the equipotential surface at every point?

This is because there is no potential gradient in any direction parallel to the surface and therefore no electric field parallel to the surface. This means that the electric field lines are always at right angles to the equipotential surface.

## What is equipotential surface draw equipotential surface?

An equipotential surface is the surface that has the same potential at every point. (i) (ii) The electric field due to a single charge is not constant, that is why the equipotential surfaces around a single charge are not equidiatant.

## What is an equipotential surface give an example?

An equipotential surface is a surface with the same potential at all points on it. The surface of a charged conductor is an example.

## What do you mean by equipotential surface draw equipotential surface of simple convention?

Equipotential surface is a surface that has the same potential at every point on it. (i) Equipotential surfaces due to a single-point charge are concentric spheres with a charge at the center. (ii) For a constant electric field along the z-direction, the perpendicular distance between equipotential surfaces remains the same.

### References:

1. https://www.nms.org/Portals/0/Docs/FreeLessons/PHYS_Equipotential%20Lines%20and%20Electric%20Fields.pdf
2. https://byjus.com/jee/equipotential-surface/
3. https://opentextbc.ca/universityphysicsv2openstax/chapter/equipotential-surfaces-and-conductors/
5. https://byjus.com/jee-questions/why-electric-field-is-perpendicular-to-equipotential-surface/