Gauss's law on a charged sheet.

  • Thread starter pondzo
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  • #1
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Homework Statement



find the field produced by a uniformly charged sheet carrying 87 pC/m2

Homework Equations



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

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.
 

Answers and Replies

  • #2
Doc Al
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Your answer looks OK to me. What book are you using?
 
  • #3
Doc Al
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Since you are off (from the book's answer) by 104, I wonder if the charge density was meant to be in pC/cm2, not pC/m2.
 
  • #4
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I'm using Richard Wolfson's: essential university physics 2nd edition, ch 21 qn 33.
 
  • #5
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yeah that might be the problem, as i have seen similar qns to this one online but they use pC/cm^2 instead of pC/m^2
 

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