Answer to Question #211528 in Electricity and Magnetism for Rocky Valmores

Question

. Find the electric field a distance z for an infinitely long straight wire, which carries a uniform line charge λ 

Answer 1

We know that

Electric flux$\phi=E.A$

$\int E.A=\frac{q}{\epsilon_0}$

$E{2\pi rx}=\frac{q}{\epsilon_0}$

$\lambda=\frac{q}{x}$

$q=\lambda x$

$E=\frac{q}{2\pi r \epsilon _0x}$

$E=\frac{\lambda x}{2\pi rx\epsilon_0}$

$E=\frac{\lambda}{2 \pi r\epsilon_0}$