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Q.

Six charges each equal to +q are placed at the corners of regular hexagon of side a. The electric potential at the point where the diagonals intersect is ‘V’ and the electric field at that point is E. Then

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a

E=6q4πϵ0a2

b

V=0

c

V=6q4πϵ0a

d

E=0

answer is B, C.

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Detailed Solution

The distance of the point of intersection of diagonals = a
Potential due to each charge =14πϵ0qa
Total potential =14πϵ06qa
The net electric field at that point of intersection of diagonals is zero because the electric field at this point due to equal charges at opposite corners will cancel each other in pairs so, 2 & 3 are correct.

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Six charges each equal to +q are placed at the corners of regular hexagon of side a. The electric potential at the point where the diagonals intersect is ‘V’ and the electric field at that point is E. Then