2.3 Two thin, non?conducting, (essentially) infinite sheets of charge are separa
ID: 1407033 • Letter: 2
Question
2.3 Two thin, non?conducting, (essentially) infinite sheets of charge are separated by a perpendicular distance 2d as shown in the figure below. The two sheets have uniform surface charge densities of +? and –?, respectively. A thin, uncharged, (essentially) infinite, conducting sheet is placed parallel to the two charged sheets, midway between them.
(a) What is the magnitude of the electric field anywhere within the conductor?
(b) What is the electric field anywhere between the upper sheet and the conductor?
(c) What is the electric field anywhere between the lower sheet and the conductor?
(d) What are the charge densities on the upper and lower surfaces of the conductor, respectively?
Explanation / Answer
(a) zero, as electric field in conductor is zero ( property of conductor)
(b) 2*sigma/apsaln towards negative Y axis
(c) 2*sigma/apsaln towards negative Y axis
(d) upper side ( - sigma) ,,,,lower side( + sigma)
where sigma is charge per unit area as shown in fig. and apsalan is relative permiability
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