A square conducting slab with 5 meter sides and thickness 0.01 meters carries a

Question

A square conducting slab with 5 meter sides and thickness 0.01 meters carries a net charge of 80 microcoloumbs.

a. Find the charge density on each face of the slab, and the electric field just outside one face of the slab.

b. The slab is placed to the right of an infinite charged nonconducting plane with charge density 2 microcoloumbs /meter^2 so that the faces of the slab are parallel to the plane. Find the electric field on each side of the slab far from its edges, and the charge density on each face.

Explanation / Answer

A) charge density of each face = 40*(10^-6)/(5*5) = 1.6 micro C/m^2 Answer

B) Field due to place = 2/(20)

=> Q1/(25*20) - Q2/(25*20) = 2/20

=> Q1 - Q2 = 50

and Q1+Q2 = 80

=> Q1 = 65 micro C => charge density of far face = 2.6 microcoloumbs /meter^2

Q2 = 15 micro C => charge density of near face = 0.6 microcoloumbs /meter^2

Electric Field inside slab = 0

Electric Field outside slab = 1/0 + 1.3/0 + 0.3/0 = 2.6/0 Answer

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