JEE MAIN - Physics (2020 - 8th January Morning Slot - No. 19)
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 :
_8th_January_Morning_Slot_en_19_1.png)
$${3{\sqrt 3 q} \over 4{\pi {\varepsilon _0}{d^2}}}$$
$${{\sqrt 3 q} \over 4{\pi {\varepsilon _0}{d^2}}}$$
$${{\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}$$
$${{2\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}$$
Explanation
_8th_January_Morning_Slot_en_19_2.png)
Resultant electric field
Enet = 2 $$ \times $$ 2Ecos 30o
= $$4 \times {{\sqrt 3 } \over 2}{{K\left( {2q} \right)} \over {{R^2}}}$$
= $${{4\sqrt 3 \left( {2q} \right)} \over {2{R^2} \times 4\pi {\varepsilon _0}}}$$
= $${{\sqrt 3 q} \over {\pi {\varepsilon _0}{d^2}}}$$
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