Six equal point charges q 0' each are placed at six corners of a regular hexagon of side 'a'. Find out work required to take a point charge 'q' slowly:
(i) From infinity to the center of hexagon.
(ii) From infinity to a point on the axis which is at a distance ' 
a' from the center of hexagon.
(iii) Does your answer to part (i) and (ii) depends on the path followed by the charge.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) 
(ii) 
(iii) No
Sol.
(i) W ext = q Δ V = q (V 0 – V ∞ ) = q 
= 
(ii)
W ext = q Δ V = q (V p – V ∞ ) = q 
(iii) No, since work is done against conservative force without change in kinetic energy, so work is path independent.
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