Question

The field on either side of an infinite sheet of charge of density ϝ ${C/m^2}$ is E = ϝ ${/2E_o}$ where ${E_o}$ is the permittivity constant. If the charge densities of the sheets A = ϝ, B = ϝ and C = ϝ, find the field in the four regions indicated in the figure shown above.

Region I : E = ϝ ${/E_o}$ ${\bf i}$ N/C
Region II : E = ϝ ${/E_o}$ ${\bf i}$ N/C
Region III : E = ϝ ${/E_o}$ ${\bf i}$ N/C
Region IV : E = ϝ ${/E_o}$ ${\bf i}$ N/C

Answer 1

I)

E = (-6 + 4 + 3) sigma/E0 = 1 sigma/E0

II)

E = (6 + 4 + 3) sigma/E0 = 13 sigma/E0

III)

E = (6 - 4 + 3) sigma/E0 = 5 sigma/E0

IV)

E = (6 - 4 - 3) sigma/E0 = -1 sigma/E0