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What is the electric field near infinite plane sheet of charge density ?

Options

  1. A2 ₀
  2. BA 2 ₀
  3. C2 ₀ A
  4. D₀

Correct answer

A. 2 ₀

Step-by-step solution

Consider an infinite plane sheet of charge with uniform surface charge density . By symmetry, the electric field E must be perpendicular to the sheet and directed away from it if > 0 . Construct a Gaussian surface in the form of a cylindrical pillbox of cross-sectional area A that intersects the sheet perpendicularly. The flux through the two end caps of the cylinder is = E A + E A = 2EA . The flux through the curved side surface is zero because the electric field is parallel to the surface. According to Gauss's La

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