Fewpal
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Six charges are placed at the certices of a regular hexagon as shown in the figure . The electric field on the line passing through point O and perpendicular to the plane of the figure at a distance x from point O is (x>>a)

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Answer : (a) Qa/π∈0x3

Explanation :

Consider the charges at opposite sides of O . They form a dipole with dipole moment p=2Qa

Electrical field due to a dipole on its axis is E=kp/x= Qa/2π∈0x3

Now three fields exists as shown in figure :

image

Net electric field :

|Enet|=2|E|

=2Qa/2π∈0x3 = Qa/π∈0x3

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