A long cylindrical insulator has a uniform charge density of

A long cylindrical insulator has a uniform charge density of 1 µC/m3 and a radius of 3 cm .

What is the electric field inside the insulator at a distance of 2 cm? The permeability of free space is 8.85419 × 1012 C 2 /N/m2 . Answer in units of N/C.

Solution

given,

charge density = 1 µC/m3

radius = 3 cm

electric field at distance r = charge density * r / (2 * pi * e0 * radius^2)

electric field at distance r = 1 * 10^-6 * 0.02 / (2 * pi * 8.85419 * 10^-12 * 0.03^2)

electric field = 399446.64765 N/C