Two point charges A and B of magnitude +8 × 10^{-6},C and -8 × 10^{-6},C respectively are placed a

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1. Electric Charges and Fields

medium

Two point charges $A$ and $B$ of magnitude $+8 \times 10^{-6}\,C$ and $-8 \times 10^{-6}\,C$ respectively are placed at a distance $d$ apart. The electric field at the middle point $O$ between the charges is $6.4 \times 10^{4}\,NC ^{-1}$. The distance ' $d$ ' between the point charges $A$ and $B$ is..............$m$

A

$2.0$

B

$3.0$

C

$1.0$

D

$4.0$

(JEE MAIN-2022)

Solution

$E _{0}=2 \times \frac{ Kq }{( d / 2)^{2}}$

$\Rightarrow E _{0}=8 \frac{ Kq }{ d ^{2}}$

$\Rightarrow d ^{2}=\frac{8 \times 9 \times 10^{9} \times 8 \times 10^{-6}}{6.4 \times 10^{4}}$

$d =3\,m$

Standard 12

Physics

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