Question 440: Electrostatics & Capacitance

Question

Three charged particle A, B and C with charges
–4q, 2q and –2q 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 :
![](https://imagex.cdn.examgoal.net/7k9k2k5gxws44/221203b3-9caa-41ab-ab0a-883330bfa73d/10798140-387c-11ea-92dd-4b9c3519996f/file-7k9k2k5gxws45-334w.jpg)

Accepted Answer

Resultant electric field
E
net
= 2 $ 	imes $ 2Ecos 30
o
= $4 	imes {{\sqrt 3 } \over 2}{{K\left( {2q} ight)} \over {{R^2}}}$
= ${{4\sqrt 3 \left( {2q} ight)} \over {2{R^2} 	imes 4\pi {\varepsilon _0}}}$
= ${{\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}$
![](https://imagex.cdn.examgoal.net/7kd4dk6pg0z6b/90289cf2-deff-4e83-b29d-5ad9d01890f3/66108630-50f5-11ea-b62d-51ccc5d4afb6/file-7kd4dk6pg0z6c-320w.png)

Answer

${3{\sqrt 3 q} \over 4{\pi {\varepsilon _0}{d^2}}}$

Answer

${{\sqrt 3 q} \over 4{\pi {\varepsilon _0}{d^2}}}$

Answer

${{\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}$

Answer

${{2\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}$

Electrostatics & Capacitance

Three charged particle A, B and C with charges –4q, 2q and –2q 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 :

Choose the correct answer: