A point charge is taken from a point A to a point B in an electric field. Does the work done by the electric field depend on the path of the charge?


No, the work done by the electric field does not depend on the path of the charge.
Work done is given as: W = Potential difference × charge.
= (VA – VB) × q
Here, VA and VB is the potential at Points A and B respectively. And q is the charge.
Thus, the position of the charge is important as potential difference will vary with position and so the work done will change.
Hence, when a point is taken from A to a point B the work done on the charge due to electric field will not depend on the path.


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