Question

Derive an expression for electric field intensity at general point p due to infinite line charge distribution having line charge density ql.

Answer 1

$\frac{1}{4\pi \: e} \frac{dq}{r {}^{2} }$

dq=qldv

$\frac{1}{4\pi \: e} \frac{qldv}{r {}^{2} }$

$\frac{1}{4\pi \: e} \times \frac{ql4\pi {r}^{2}dr }{r {}^{2} }$

integrating the above equation we get.

$\frac{qlr}{e}$