For an infinite plane sheet of charge with surface charge density σ, what is the

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Question: For an infinite plane sheet of charge with surface charge density σ, what is the electric field at a point near the sheet?

Options:

Correct Answer: σ/2ε₀

Solution:

Using Gauss\'s law, the electric field due to an infinite plane sheet of charge is E = σ/2ε₀ on either side of the sheet.

For an infinite plane sheet of charge with surface charge density σ, what is the electric field at a point near the sheet?

For an infinite plane sheet of charge with surface charge density σ, what is the electric field at a point near the sheet?

Step 1: Understand that we have an infinite plane sheet of charge with a surface charge density denoted by σ.
Step 2: Recall that the electric field (E) is related to charge distribution, and we can use Gauss's law to find it.
Step 3: Gauss's law states that the electric flux through a closed surface is equal to the charge enclosed divided by the permittivity of free space (ε₀).
Step 4: Choose a Gaussian surface, which is a cylinder that straddles the sheet of charge, with its flat ends parallel to the sheet.
Step 5: Calculate the electric field due to the sheet. Since the sheet is infinite, the electric field is uniform and points away from the sheet on both sides.
Step 6: The total electric field (E) at a point near the sheet is given by the formula E = σ/2ε₀ on each side of the sheet.

Gauss's Law – The relationship between electric field and charge distribution, particularly for symmetric charge configurations.
Electric Field of Infinite Plane Sheet – Understanding how the electric field behaves near an infinite plane sheet of charge, which is uniform and constant.
Surface Charge Density – The amount of charge per unit area on the surface of the sheet, denoted by σ.