A conservative field F can be defined such that the line integral ∫F ds equals zero even when the path C is not closed. An example of this is the gravitational force, where moving an object to the same height results in zero work done, as the potential energy remains unchanged. This illustrates the fundamental property of conservative fields, where the work done is path-independent and depends solely on the initial and final states.
PREREQUISITESStudents of physics and mathematics, particularly those studying vector calculus and mechanics, as well as educators seeking to explain the concept of conservative fields.
kenporock said:Goodnight,
How can I find a conservative field F, such that ∫F ds = 0 without C being a closed path
Can i have some examples ?