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Three charged particles \( A, B \) 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 center \( O \) of the circle formed an equilateral triangle as shown in figure. Electric field at \( O \) along \( x \)-direction is
(a) \( \frac{\sqrt{3} q}{\pi \varepsilon_{0} d^{2}} \)
(b) \( \frac{\sqrt{3} q}{4 \pi \varepsilon_{0} d^{2}} \)
(c) \( \frac{3 \sqrt{3} q}{4 \pi \varepsilon_{0} d^{2}} \)
(d) \( \frac{2 \sqrt{3} q}{\pi \varepsilon_{0} d^{2}} \)
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