The electrostatic potential doesn't depend on which of the following (1) It depends on the charge (2) It depends on the endpoints of the path through work done (3) It depends on the path taken for the work done (4) It depends on the amount of work done

The electrostatic potential is defined as the work done per unit charge to move a charge from a reference point to a specific point [2]. A fundamental characteristic of the electrostatic field is that it is a conservative field [1]. This means that the work done in moving a charge between two points depends only on the initial and final positions (endpoints) and is independent of the path taken [1]. Consequently, while the potential depends on the magnitude of the charge involved in the work-energy relationship [1], the endpoints of the displacement [1], and the total amount of work done [3], it does not depend on the specific path followed [1]. Therefore, statement 3 is the incorrect dependency, making it the correct choice for this question.

Sources

1. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > 11.2 ELECTRIC POTENTIAL AND POTENTIAL DIFFERENCE > p. 173
2. [2] https://ncert.nic.in/textbook/pdf/leph102.pdf
3. [3] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > 11.7 HEA 11.7 HEA11.7 HEATING EFFECT OF ELECTRIC CURRENT > p. 188