Question

An infinite line of charge produces a field of magnitude 4.90 ✕ 104 n/c at a distance of 1.9 m. calculate the linear charge density.

Answer 1

from Gauss law we have
E = 2kx/r where x=linear charge density, r=distance from the wire=1.7 m
k =9 x 10^9 SI units.....we have been given E = 3.8 x 10^4 N/C ..... so plugging numbers we get

x = 3.59 x 10^ -6 C/ M (coulomb per meter) =linear charge density