# Gauss’s law on a charged sheet.

**1. The problem statement, all variables and given/known data**

find the field produced by a uniformly charged sheet carrying 87 pC/m^{2}

**2. Relevant equations**

[itex]\oint \vec{E}.d\vec{A}[/itex] = q_{enclosed}/[itex]\epsilon[/itex]

**3. The attempt at a solution**

[itex]\Phi[/itex]= [itex]\sigma[/itex]A/[itex]\epsilon[/itex]

[itex]\Phi[/itex]=[itex]\oint E.dA[/itex] = ## E(2A) ##

2EA= [itex]\sigma[/itex]A/[itex]\epsilon[/itex]

E = [itex]\sigma[/itex]/(2[itex]\epsilon[/itex]) = 4.92 N/C where I use 8.85*10^{-12} for [itex]\epsilon[/itex] (this has been the value used through the book)

However the book says the answer is 49 kN/C

could someone point out my error? Thanks.

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