Express E ( z ) for z >0 in terms of some or all of the variables/constants ? ,

Question

Express E(z) for z>0 in terms of some or all of the variables/constants ?, z, and ?0.

symmetry, the electric field will be directed in the z direction and depend only on z), the charge distribution is sometimes called a sheet charge The symbol usually used for two-dimensional charge density is either , or . In this problem we will use , has units of coulombs per meter squared Item 9 Gauss's law relates the electric flux E through a closed surface to the total charge encl enclosed by the surface Part C You can use Gauss's law to determine the charge enclosed inside a closed surface on which the electric field is known. However, Gauss's law is most frequently used to determine the electric field from a symmetric In solving for the magnitude of the electric field E(z) produced by a sheet charge with charge density , use the planar symmetry since the charge distribution doesn't change if you slide it in any direction of xy plane parallel to the sheet. Therefore at each point, the electric field is perpendicular to the sheet and must have the same magnitude at any given distance on either side of the sheet. To take advantage of these symmetry properties, use a Gaussian surface in the shape of a cylinder with its axis perpendicular to the sheet of charge, with ends of area which will cancel out of the expression for E(z) in the end. The result of applying Gauss's law to this situation then gives an expression for E(z) for both z>0 and z 0 in terms of some or all of the variables/constants , z, and €0 E(2) Submit Hints My Answers Give Up Review Part Jaussian surface Incorrect; Try Again; 29 attempts remaining The correct answer does not depend on: Provide Feedback Continue

Explanation / Answer

Given charge density is

fro gauss law

integral ( E * dA ) = Qin / epsilonnot

2 * E * A = * A / epsilonnot

E = /(2 * epsolon not)

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