- #1

Frigus

- 337

- 157

Definition of conservative field I use:-it is a field in which potential energy of system is independent of path taken.

I understand that it is independent because whenever we take some path than all the perpendicular displacements with respect to force are not counted and if we go further than the point for which we are finding potential energy and come back to that point than additional potential energy due to further displacement is canceled by the reverse path and thus energy is conserved.

But I can't understand the case I have posted,

Work done in moving particle from A to C is equal to B to C but I don't know why.

I thought it should be same because force on point at b is more than point at c thus it should but i want to know why work done in both cases are exactly similar.

Edit:- both points are at infinity

I understand that it is independent because whenever we take some path than all the perpendicular displacements with respect to force are not counted and if we go further than the point for which we are finding potential energy and come back to that point than additional potential energy due to further displacement is canceled by the reverse path and thus energy is conserved.

But I can't understand the case I have posted,

Work done in moving particle from A to C is equal to B to C but I don't know why.

I thought it should be same because force on point at b is more than point at c thus it should but i want to know why work done in both cases are exactly similar.

Edit:- both points are at infinity