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  4. If a point charge (+q) is taken along two different paths say A M B (path 1) and A C B (path 2) such that A, M and B lie on the circle and +q (another charge) is placed at the centre, then which the given statements holds true for work done along the two paths.

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Q. If a point charge $(+q)$ is taken along two different paths say $A M B$ (path 1) and $A C B$ (path 2) such that $A, M$ and $B$ lie on the circle and $+q$ (another charge) is placed at the centre, then which the given statements holds true for work done along the two paths.Physics Question Image

Electrostatic Potential and Capacitance

Solution:

Electrostatic force is a conservative force depending only on the initial and the final points and is independent of the path taken to go from one point to the other.
So, $W_{A C B}=W_{A M B}$