In regular hexagon 4 charges are kept at corner except 2 corner. Find electric field at centre if R=a
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Answer:
Here the distances from centre O to each charge is r=
sin30
l/2
=l.
As the potential is a scalar quantity so the potential at O is
V=
4πϵ
0
1
[q/r+q/r+q/r+q/r+q/r]=
4πϵ
0
l
5
as r=l
As the electric field is a vector quantity so field at O cancel each other due to the charges at opposite corner and only one charge will contribute the field.
Thus, E=
4πϵ
0
r
2
q
=
4πϵ
0
l
2
q
solution
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