A single isolated, large conducting plate has a charge per unit area on its surf
ID: 1661715 • Letter: A
Question
A single isolated, large conducting plate has a charge per unit area on its surface. Because the plate is a conductor, the electric field at its surface is perpendicular to the surface and has magnitude E = /Eo 5, The field from a large, uniformly charged sheet with charge per unit area has magnitude E = /2. why is there a difference? Regard the charge distribution on the conducting plate as two sheets of charge (one on each surface), each with charge per unit area . Find the electric field inside and outside the plate a. b.Explanation / Answer
5. a) The conductor has the surface charge density on both sides,so it has twice the enclosed charge and twice the electricfield.
b) We have a conductor with surface charge density on bothsides. Thus the electric field outside the plateis is calculated by theformula
= E(2A) = (2A)/0
then E = /0
To find the field inside the conductor, consider a Gaussian surface which has one face inside the conductor, and one outside.
Then = Eout A + Ein A = (A)/0
But Eout = /0
Thus Ein = 0
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