A very large, but thin, conducting plate lying in the xy plane at z = 0 carries

Question

A very large, but thin, conducting plate lying in the xy plane at z = 0 carries a charge per unit area of 9sigma, where sigma represents an absolute value. A second such plate located atz = +4.00 cm and oriented parallel to the xy plane carries a charge per unit area of -5 sigma.

Find the z-component of the electric field for the following values of z.

Finally, what is the surface charge density on each face of each thin metal plate? The descriptive language used here refers to the positive z direction as "upward".
(d) the lower face of the lower plate

sigma

(e) the upper face of the lower plate

sigma

(f) the lower face of the upper plate

sigma

(g) the upper face of the upper plate

sigma

Explanation / Answer

E1 = 9*sigma/2*epsilon
E2 = -5*sigma/2*epsilon

a) Enet = E1 - E2 = -2*sigma/epsilon

b)Enet = E1 + E2 = 7*sigma/epsilon

c)Enet = E2 - E1 = 2*sigma/epsilon


d) charge density = 2*sigma

e) charge density = 7*sigma

f) charge density = -7*sigma

g) charge density = 2*sigma

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