Calculate the magnitude and direction of the electric field 2.0 m from a long wire that is charged uniformly at λ = 4.0 * 10-6 C/m.

Answer: 71.93 * 10^3 N/C

Explanation: In order to calculate the electric field from long wire we have to use the Gaussian law, this is:

∫E*dr=Q inside/εo Q inside is given by: λ*L then,

E*2*π*r*L=λ*L/εo

E = λ / (2*π*εo*r) = 4 * 10^-6 / (2*3.1415*8.85*10^-12*2) = 71.93 * 10^3 N/C