Three charged particle \(A, B\) and \(C\) with charges \(-4 q, 2 q\) and \(-2 q\) are present on the circumference of a circle of radius \(d\). the charged particles \(A, C\) and centre \(O\) of the circle formed an equilateral triangle as shown in figure. Electric field at \(O\) along \(x-\)direction is

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Correct Answer

(D) \(\frac{\sqrt{3} q}{\pi \varepsilon_{0} d^{2}}\)

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Detailed explanation

\(\mathrm{E}_{\mathrm{x}}=\frac{\mathrm{K}(4 \mathrm{q})}{\mathrm{R}^{2}} \cos 30^{\circ}+\frac{\mathrm{K}(2 \mathrm{q})}{\mathrm{R}^{2}} \cos 30^{\circ}+\frac{\mathrm{K}(2 \mathrm{q})}{\mathrm{R}^{2}} \cos 30^{\circ}\)

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