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QJEEM20Pha86d: JEE Main 2020 Physics - Class 12 JEEM20Pha86d Solution: Three charged particle A, B and C with charges –4q, 2q and –2q…

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 : JEE Main 2020 (Online) 8th January Morning Slot Physics - Electrostatics Question 162 English

Multiple Choice Options

  • A 33q4πε0d2{3{\sqrt 3 q} \over 4{\pi {\varepsilon _0}{d^2}}}
  • B 3q4πε0d2{{\sqrt 3 q} \over 4{\pi {\varepsilon _0}{d^2}}}
  • C 3qπε0d2{{\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}
  • D 23qπε0d2{{2\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}

Step-by-Step Verified Solution

JEE Main 2020 (Online) 8th January Morning Slot Physics - Electrostatics Question 162 English Explanation
Resultant electric field

Enet = 2 ×\times 2Ecos 30o

= 4×32K(2q)R24 \times {{\sqrt 3 } \over 2}{{K\left( {2q} \right)} \over {{R^2}}}

= 43(2q)2R2×4πε0{{4\sqrt 3 \left( {2q} \right)} \over {2{R^2} \times 4\pi {\varepsilon _0}}}

= 3qπε0d2{{\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}

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