anonymous
  • anonymous
Apply Gauss's law to determine the electric intensity at a point due to the infinite sheet of charge?????
MIT 8.01 Physics I Classical Mechanics, Fall 1999
katieb
  • katieb
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TuringTest
  • TuringTest
Not sure what you mean by electric intensity. Gauss's law gives the electric field easily enough: Consider a Gaussian pillbox shape|dw:1327733787509:dw|each oval shape is of area dA, and the arrows are in the direction of E and dA, which coincide.\[\frac q\epsilon_0=\oint\overrightarrow{E}\cdot\overrightarrow{dA}=2EA\]Noting that we can write charge as charge density (sigma) times area\[\frac{\sigma A}{\epsilon_0}=2EA\to E=\frac{\sigma}{2\epsilon_0}\]Which you should notice is uniform throughout space.

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