A square conducting slab with 6 m sides carries a net charge of 71uC. (a) Find t

Question

A square conducting slab with 6 m sides carries a net charge of 71uC.

(a) Find the charge density, [sigma] on each face of the slab and the electric field just outside one face of the slab.

[sigma]per face = (q/A) / 2 = (71uC / (6m)^2) / 2 = 0.981 uC/m^2 --> CORRECT

E= [sigma]per face/?= 111372 N/C --> CORRECT

(b) The slab is placed to the right of an infinite charged nonconducting plane that lies in theyzplane atx= 0. The charge density of the infinite nonconducting plane is2.1uC/m2. The faces of the slab are parallel to the plane. Find the sign and magnitude of the electric field on each side of the slab (far from its edges so edge effects can be ignored) and the charge density [sigma] on each face.

Ex, total(right side of slab) = E1 + E2 (where E1 is electric field from slab, E2 is electric field from plane) = (11372N/C +?/2?) = 229960N/C --> Correct

Ex, total(left side of slab, between the slab and the sheet) = -E1 + E2 = (-11372N/C +?/2?) = 7216 N/C --> CORRECT

charge density[sigma](right side of slab) = E*[sigma] = (229960 N/C *?) = 2.0361uC --> CORRECT

charge density[sigma](left side of slab) = E*[sigma] = (7216 N/C *?) =.06389uC --> INCORRECT

I just need help with the last one. Thanks!

Explanation / Answer

-.06389uC

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