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10.11 Relationship between Electric field and Potential
We know that
The external force is equal and opposite to the electrostatic force,
The work done in moving a unit positive charge from a point A to B along a curved path in a non-uniform field (see figure) is given as
or 
or 
Since the electrostatic field is conservative, the value of this line integral depends only on the end points A and B, and not on the path taken.
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