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CBSE Class 12-science Answered

i don`t understand why it is no work done in moving a charge in equipotential surface? in order to move a charge in an equipotential surface we should apply some force right? does it account for work? why is the work done is zero?
Asked by my3shyll | 11 May, 2018, 06:59: PM
answered-by-expert Expert Answer
When we say no workdone, it means that no workdone against the electro-static force in electric field.
 
Imagine a solid spherical ball is resting on a smooth horizontal surface. A small kick enables the ball to roll on the surface. In this case, there is no change in potential energy(moving on horizontal surface), no work is done against the gravitational force in graviataional field. What happens actually is, there is a momentum transfer to the ball due to small kick that enables the ball rolling.
 
By definition, if a force acting on the body for considerable time and in this time the force move the body to some distance, then the product of force and distance is workdone. When the body keep on moving and there is no force acting on it, then no work is done.
 
In our electro-static field, a charge can be moved on a equi-potential surface without work being done against electro-static force.
This movement is possible by giving small impulse to the charge. Due to this impulse, momentum transfer to the charge enables the charge to move
Answered by Thiyagarajan K | 12 May, 2018, 10:50: AM

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