- In conservative field, work done by the force (line integral of the force, i.e., ) is independent of the path followed between any two points.
- In conservative field, work done by the force (line integral of the force, i.e., ) over a closed path/loop is zero.
Electrostatic forces, gravitational forces, elastic forces, magnetic forces, etc., and all the central forces are conservative in nature.
A force is said to be non-conservative, if work done by or against the force in moving a body from one position to another, depends on the path followed between these two positions, and for complete cycle this work done can never be a zero.
Frictional force, viscous force, airdrag, etc.
Note: Work depends on frame of reference. With change of frame of reference (inertial) force does not change while displacement may change. So, the work done by a force will be different in different frames.