Refer to the diagrams here A very large conductive plate of metal (in electrosta
ID: 1496255 • Letter: R
Question
Refer to the diagrams here A very large conductive plate of metal (in electrostatic equilibrium) initially carries a uniform surface charge density of +eta. as shown in the "BEFORE" diagram above. Then an infinite plane of negative charge, with fixed uniform density -eta is placed parallel to the plate, as shown in the "AFTER" diagram above, and the plate is allowed to re-establish electrostatic equilibrium. Assume the following known values: etam, epsilon_o For the AFTER" situation, use Gauss' Law to find the following (and be sun: to show all your steps and reasoning): The electric field values (both magnitude and direction) in each of the regions 1, 2 and 3. The surface charge densities on the two sides of the plate.Explanation / Answer
a) After the plane is brought near to conductor, all the charge in conductor is attracted to the plane's charge
so E at point A = Ea
Consider a gausean surface of depth d, length l and width w, such that, the two long sides pass through oint A and the conductor plate respectively
From gauss law, E.d.l = q/e = 0/e [ as all the charge is on the other side of the plate]
Ea = 0
Similiarly, Eb.d.l = q/e
Eb = (neta)/e
From +ve to negative plate
and Ec = 0
b) on the side facing 1, neta = 0
on other side , neta = neta