Question

Intensity of electric field at a perpendicular distance of $0.5$m from an infinitely long line charge having linear charge density $\left(\lambda \right)$ is $3.6\times {10}^{3}V{m}^{-1}$. Find the value of $\lambda$.

Answer 1

Electric filed at a distance $r$ from an infinitely long line charge is given by $E=\frac{\lambda }{2\pi {ϵ}_{o}r}$

$⟹$ $\lambda =2\pi {ϵ}_{o}rE$

Given : $d=0.5m$, $E=3.6\times {10}^{3}V{m}^{-1}$

$\therefore$ $\lambda =2\pi (8.85\times {10}^{-12})\left(0.5\right)(3.6\times {10}^3)=$ ${10}^{-7}C/m$