3. Refer to the diagrams here. + BEFORE AFTER: -n A very large conductive plate

Question

3. Refer to the diagrams here. + BEFORE AFTER: -n A very large conductive plate of metal (in electrostatic equilibrium) initially carries a uniform surface charge density of+1, as shown in the "BEFORE" diagram above. (Note: The plate has some thickness, but its width and length are extremely large compared to that thickness.) Then an infinite plane of negative charge, with fixed uniform density -n is placed parallel to the plate, as shown in the "AFTER" diagram above, and the plate is allowed to re-establish electrostatic equilibrium. For the “AFTER', situation, use Gauss' Law to find the following ( a. The electric field values (both magnitude and direction) in each of the regions 1,2 and 3. b· The surface charge densities on the two sides of the plate.

Explanation / Answer

b) the surface charge density on lower surface of the plateplate = +3*neta/2

= +1.5*neta

the surface charge density on upper plate = -neta/2

here charge is redistributed in such a way that electric field inside the conducting slab is zero.

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