Why is there no work done in moving test charge on an equipotential surface?
Work done is the difference in the potential between the two points. As the surface is equipotential i.e all points on it are at same potential, so the difference of potential between any two points will be zero. Hence work done will be zero.
What is the work done in moving a test charge on an equipotential surface?
Work is done whenever a force moves something over a distance. You can calculate the energy transferred, or work done, by multiplying the force by the distance moved in the direction of the force.
What is an equipotential surface show that no work is done in moving a test charge from one point to another over an 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. As VA – VB is equal to zero, the total work done is W = 0.
What is the direction of the electric field lines with respect to the equipotential lines?
Equipotential lines are always perpendicular to the electric field. In three dimensions, the lines form equipotential surfaces. Movement along an equipotential surface requires no work because such movement is always perpendicular to the electric field.
When a charge moves along the surface there is no work done on it by the electric field?
If the force is everywhere perpendicular to the direction of motion then →F⋅d→r=0 so no work is done. Now, the electric field and thus the electric force is precisely everywhere perpendicular to an equipotential, hence q→E⋅d→r=0. Motion doesn’t require force.
When a positive charge particle is moving on a equipotential?
Since the potential at each point of an equipotential surface is the same, the potential does not change while we move a unit positive charge from one point to another. Therefore work done in the process is zero.
What is no work done?
No work, as understood in this context, is done unless the object is displaced in some way and there is a component of the force along the path over which the object is moved. Holding a heavy object stationary does not transfer energy to it, because there is no displacement.
What is difference between work and work done?
Work done is a measure of consuming energy or it is the capacity of doing a certain work and that also means the same . Work is something which we do which consumes or produces energy or there will be a net increase or decrease of energy. Net work done is the sum of work done by all forces.
Why must electric field lines always meet equipotential lines and conductors perpendicularly?
Since the electric field lines point radially away from the charge, they are perpendicular to the equipotential lines. The potential is the same along each equipotential line, meaning that no work is required to move a charge anywhere along one of those lines.
Why does potential decrease in the direction of electric field?
As you go closer, they both will repel and make it difficult to get closer. This means as you go against the electric field, the potential increases and if you go in the direction of Electric field, the potential decreases.
When we say no work is done?
No work is said to have been done when an object moves at an angle, We find the angle and direction of force, For an example, In this case, the force supplied by the waiter is an upward force and the displacement of the tray is a horizontal displacement if a waiter catches a ray with one hand in a horizontal position.
How much work is done to move a charge over equipotential surface?
Since there is no force acting, there is no work required to keep moving the charge over the surface. Hence, no work is done to move a test charge over an equipotential surface. We can also make use of the following equation of work done. This video defines electric potential at a point and difference of potentia…
Why is there no work done to move a test charge?
Since, there is no change in potential, no force is done to move it. Since there is no force acting, there is no work required to keep moving the charge over the surface. Hence, no work is done to move a test charge over an equipotential surface.
What is the work done when moving a particle on equipotential?
An equipotential surface is one in which all the points are at the same electric potential. If a charge is to be moved between any two points (say from point A to point B) on an equipotential surface, according to the formula $dW = q\\cdot dV$, the work done becomes zero. My question is, how to move a particle without doing any work?
How do you find work done on equipotential surface?
$\\begingroup$ An equipotential surface is one in which all the points are at the same electric potential. If a charge is to be moved between any two points (say from point A to point B) on an equipotential surface, according to the formula $dW = q\\cdot dV$, the work done becomes zero.