Six point charges are kept $60^{\circ}$ apart from each other on the circumference of a circle of radius $R$ as shown in the figure. The net electric field at the centre of the circle is . . . . . . . ($ \epsilon_{0} $ is the permittivity of free space)

  • A
    $ -\frac{5Q}{8\pi\epsilon_{0}R^{2}}(\hat{i}+\sqrt{3}\hat{j}) $
  • B
    $ -\frac{Q}{4\pi\epsilon_{0}R^{2}}(\sqrt{3}\hat{i}-\hat{j}) $
  • C
    $ -(\frac{5Q}{8\pi\epsilon_{0}R^{2}})(\hat{i}-3\hat{j}) $
  • D
    $ \frac{Q}{4\pi\epsilon_{0}R^{2}}(\sqrt{3}\hat{i}-\hat{j}) $

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