Find out surface charge density at the intersection of point x =3, m plane and x -axis, in regi

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1. Electric Charges and Fields

hard

Find out the surface charge density at the intersection of point $x =3\, m$ plane and $x$ -axis, in the region of uniform line charge of $8\, nC / m$ lying along the $z$ -axis in free space.

A

$0.424 \,n\,C m ^{-2}$

B

$47.88 \,C / m$

C

$0.07\, n\,C m ^{-2}$

D

$4.0\, n\,C m ^{-2}$

(JEE MAIN-2021)

Solution

$\frac{2 K \lambda}{ r }=\frac{\sigma}{\varepsilon_{0}}$ $\quad(x=3 \,m)$

$\sigma=0.424 \times 10^{-9}\, \frac{ C }{ m ^{2}}$

Standard 12

Physics

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