Equipotential lines are perpendicular to electric field lines in every case. W = −ΔPE = −qΔV = 0. W = Fd cos θ = qEd cos θ = 0. Note that in the above equation, E and F symbolize the magnitudes of the electric field strength and force, respectively.

## Where is the electric field the strongest equipotential lines?

Thus, the electric field is strongest **where the equipotentials are closest together**. This is analogous to the steepness of a slope on a contour map: the slope is steepest where the contour lines are closest.

## How are equipotential lines and electric fields related?

Equipotential lines are **lines connecting points of the same electric potential**. All electric field lines cross all equipotential lines perpendicularly. … No work is required to move a charge along an equipotential line because no force is required, and there is no change in potential.

## What is the electric field between two equipotential lines?

The electric field at point a can be found by calculating the slope at a: where is the voltage difference between the two lines near a, and is the distance between the two lines nearest a. Rules for equipotential lines: Electric field lines are **perpendicular to the equipotential lines**, and point “downhill”.

## Can two equipotential lines cross?

**Equipotential lines at different potentials can never cross either**. This is because they are, by definition, a line of constant potential. The equipotential at a given point in space can only have a single value. … Note: It is possible for two lines representing the same potential to cross.

## Why electric field is normal to equipotential surface?

Since the electric field lines are directed radially away from the charge, hence they are opposite to the equipotential lines. … Therefore, the electric field is perpendicular to the equipotential surface.

## Can electric field be negative?

**Electric field is not negative**. It is a vector and thus has negative and positive directions. An electron being negatively charged experiences a force against the direction of the field. For a positive charge, the force is along the field.

## Why are equipotential lines not equally spaced?

This means that as two point charges get closer and closer together, their **forces increase proportionately by 1/(r)^2**. Equipotential (equal potential which is the same as equal difference) surfaces are drawn so that the spacing between them represents the same difference in force.

## What are electric field line?

Electric field lines in an electric field are **imaginary lines**, the tangent to which, at any point, gives the direction of the electric field intensity. In simpler version, it can be said, an electric field line is a path along which a positive charge would move, if it is free to do so.

## What is the electric field of a line of charge?

We derive an expression for the electric field near a line of charge. The result will show the electric field near a line of charge falls off as **1 / a 1/a 1/a** , where a is the distance from the line. Assume a test charge q is positioned opposite the center of the line, at a distance a.

## What are the strength and direction of the electric field?

The direction of the electric field due **to positive point charge is always acts away from the point charge** and electric field due to the negative charge acts towards the negative charge. The electric field is a vector quantity. They cannot be added directly, but can be added vectorially.