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Six equal point charges q(0) each are pl...

Six equal point charges `q_(0)` each are placed at six corners of a regular hexagon of side 'a'. Find out work required o take a point charge 'q' slowly :
(i) From infinity to the centre of haxagon.
(ii) From infinity to a point on the axis which is at a distance `'sqrt(3) a'` from the centre of hexagon.
(iii) Does your answer to part (i) and (ii) depends on the path followed by the charge.

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