Six point charges are kept 60^° apart from each other on the circumference of a circle of radius R as shown in…

Question

Six point charges are kept $$60^\circ$$ apart from each other on the circumference of a circle of radius $$R$$ as shown in figure.
The net electric field at the center of the circle is ____.
($$\varepsilon_0$$ is permittivity of free space)

Accepted Answer

B. $$-\dfrac{Q}{4\pi \varepsilon_0 R^2}\left(\sqrt{3}\,\hat{i}-\hat{j}\right)$$

Answer

A. $$\dfrac{Q}{4\pi \varepsilon_0 R^2}\left(\sqrt{3}\,\hat{i}-\hat{j}\right)$$

Answer

C. $$-\dfrac{5Q}{8\pi \varepsilon_0 R^2}\left(\hat{i}-3\hat{j}\right)$$

Answer

D. $$-\dfrac{5Q}{8\pi \varepsilon_0 R^2}\left(\hat{i}+\sqrt{3}\hat{j}\right)$$

Answer & step-by-step solution

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