Question

draw a graph to show the variation of e with perpendicular distance r from the line of charge

Answer 1

we know the relation between electric field intensity and perpendicular distance r from the line of charge. it is given by, $E=\frac{\lambda}{2\pi\epsilon_0r}$

where $\lambda$ denotes linear charge density, r is perpendicular distance from the line of charge and $\epsilon_0$ denotes permittivity of medium.

here it is clear that, Electric field intensity, E is inversely proportional to perpendicular distance r from the line of charge.

graph will be hyperbolic as shown in figure.