Question

Why work done in electric field independent of path

Answer 1

generally we know, workdone is path function , e.g it is depend upon path . but in case of electrostatic , work done independent upon path when we find out work done with help of potential energy ,
we know, potential energy is independent upon path it's depend only on initial and final position .

workdone = - change in potential energy

so, work done independent to path but depend upon position .