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What is the electric field due to a uniformly charged infinite plane sheet?

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Question: What is the electric field due to a uniformly charged infinite plane sheet?

Options:

  1. 0
  2. σ/2ε₀
  3. σ/ε₀
  4. σ/4ε₀

Correct Answer: σ/2ε₀

Solution: 

According to Gauss\'s law, the electric field due to an infinite plane sheet with surface charge density σ is E = σ/2ε₀, directed away from the sheet.

What is the electric field due to a uniformly charged infinite plane sheet?

Practice Questions

Q1
What is the electric field due to a uniformly charged infinite plane sheet?
  1. 0
  2. σ/2ε₀
  3. σ/ε₀
  4. σ/4ε₀

Questions & Step-by-Step Solutions

What is the electric field due to a uniformly charged infinite plane sheet?
Correct Answer: E = σ/2ε₀
  • Step 1: Understand that we are dealing with an infinite plane sheet that has a uniform charge on it.
  • Step 2: Know that the surface charge density is represented by the symbol σ (sigma). This tells us how much charge is on a certain area of the sheet.
  • Step 3: Recall Gauss's law, which relates the electric field to the charge enclosed by a surface.
  • Step 4: For an infinite plane sheet, we can use a Gaussian surface (like a cylinder) that intersects the sheet.
  • Step 5: Calculate the electric field using Gauss's law, which gives us the formula E = σ/2ε₀, where ε₀ (epsilon naught) is the permittivity of free space.
  • Step 6: Note that the electric field E is directed away from the sheet if the charge is positive, and towards the sheet if the charge is negative.
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