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1. Electric Charges and Fields
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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
A
$\frac{2 \sqrt{3} q}{\pi \varepsilon_{0} d^{2}}$
B
$\frac{\sqrt{3} \mathrm{q}}{4 \pi \varepsilon_{0} \mathrm{d}^{2}}$
C
$\frac{3 \sqrt{3} \mathrm{q}}{4 \pi \varepsilon_{0} \mathrm{d}^{2}}$
D
$\frac{\sqrt{3} q}{\pi \varepsilon_{0} d^{2}}$
(JEE MAIN-2020)
Solution
$\mathrm{E}_{\mathrm{x}}=\frac{\mathrm{K}(4 \mathrm{q})}{\mathrm{R}^{2}} \cos 30^{\circ}+\frac{\mathrm{K}(2 \mathrm{q})}{\mathrm{R}^{2}} \cos 30^{\circ}+\frac{\mathrm{K}(2 \mathrm{q})}{\mathrm{R}^{2}} \cos 30^{\circ}$
Standard 12
Physics
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