Is work done when a charge is moved along an equipotential line?

Is work done when a charge is moved along an equipotential line?

Therefore, the work done in moving a charge on an equipotential surface is zero.

How does charge move in equipotential surface?

The surface, the locus of all points at the same potential, is known as the equipotential surface. No work is required to move a charge from one point to another on the equipotential surface. In other words, any surface with the same electric potential at every point is termed as an equipotential surface.

What is the equipotential for a line charge?

The equipotential potential is the surface where all points have the same electric potential. The locus of points with the same potential due to infinite line charge will form a cylinder. Hence, the shape of the equipotential surface for an infinite line charge is Coaxial Cylindrical.

Are equipotential lines positive or negative?

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

What is the meaning of equipotential line?

Equipotential lines are lines connecting points of the same electric potential. All electric field lines cross all equipotential lines perpendicularly.

What is the work done to move a charge?

Work done in moving a unit positive charge from one point to other in an electric circuit is called potential difference.

What is the formula for equipotential lines?

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

Why is the work done to move a charge on an equipotential surface zero?

So, in an equipotential (flat) surface, particles feel no force (the gradient is zero everywhere). No force ⟹ no acceleration but particles will continue their trajectory if they start with some initial momentum. So particles can (and do) move without work being done.

Is Earth an equipotential surface?

if there is some potential difference between two points of the conductor, then the charge will flow within the conductor to make the potential same. As we know earth is a conductor. Hence, we can say that earth is an equipotential surface.

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.

Can electric potential be negative?

Note that the electrical potential energy is positive if the two charges are of the same type, either positive or negative, and negative if the two charges are of opposite types.

Why do equipotential lines exist?

Equipotential lines are a representation of constant electric potential. Electric potential is given by V = kq/r. So if there was a point charge, then at some fixed distance away from it (r), electric potential will exist.

Where is the electric field strongest?

The field is strongest where the lines are most closely spaced. The electric field lines converge toward charge 1 and away from 2, which means charge 1 is negative and charge 2 is positive.

Who discovered equipotential lines?

The concept of lines of force was introduced into physics in the 1830s by the English scientist Michael Faraday, who considered magnetic and electric effects in the region around a magnet or electric charge as a property of the region rather than an effect taking place at a distance from a cause.

Is electric field a vector?

The electric field ‍ is a vector quantity that exists at every point in space. The electric field at a location indicates the force that would act on a unit positive test charge if placed at that location.

What is work done in moving a charge in electrostatics?

In equation form it is W=q∗E∗L where L in this case is the distance along the E-field direction, or the component of the motion that is along the E-field direction.

What is the work done by a charge if another charge revolves around it?

The work done is moving a charge along any circular path is zero. So, to move a point charge Q around a circular arc of radius ‘r’ at the centre of which another point charge ‘q’ is located, no work has to be done.

When a charged particle moves along an equipotential surface the work done by the electric force is non zero?

It is said that no work is done in moving a charge on an equipotential surface. It means that no force is required to make the charge move.

What is the work done between two equipotential surfaces?

The work done in moving a charge between two points on an equipotential surface is zero. The point at which the potential charges of all points are equal is known as an equipotential surface.