Demonstrate whether the force experienced by a point charge subject to an electromagnetic field is conservative or not.
If not, clearly state the circumstances under which it is conservative.
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work done in moving a particle between two points is independent of the taken path. Equivalently, if a particle travels in a closed loop, the net work done by a conservative force is zero
In case of a magnetic force, always the the work done in moving a charged particle between two points is equal to zero, because the magnetic force is always perpendicular to the velocity.
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