Question

The intensity of an electric field at some point distant r from the axis of infinity long pipe having charged per unit length as q will be:

• A. Proportional to $r^2$
• B. Proportional to $r^3$
• C. inversely Proportional to $r$
• D. inversely Proportional to $r^2$

Answer 1

The correct option is C inversely Proportional to $r$

The intensity of an electric field at some point distant $=r$

Unit length $=q$

$E=\frac{1}{4\pi {ϵ}_0}\frac{q}{r}\times \frac{1}{r}$

$E$ $\alpha$ $\frac{1}{r}$.