What is the electric field due to an infinite plane sheet of charge with surface

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Question: What is the electric field due to an infinite plane sheet of charge with surface charge density σ?

Options:

Correct Answer: σ/2ε₀

Solution:

The electric field due to an infinite plane sheet of charge is given by E = σ/2ε₀, directed away from the sheet if the charge is positive.

What is the electric field due to an infinite plane sheet of charge with surface charge density σ?

What is the electric field due to an infinite plane sheet of charge with surface charge density σ?

Correct Answer: E = σ/2ε₀

Step 1: Understand what a plane sheet of charge is. It is a flat surface that has charge distributed evenly over it.
Step 2: Know the term 'surface charge density' (σ). It tells us how much charge is on a certain area of the sheet.
Step 3: Recognize that the electric field (E) is a way to describe the force that a charge would feel in the area around the charged sheet.
Step 4: Learn that for an infinite plane sheet of charge, the electric field is constant and does not depend on the distance from the sheet.
Step 5: The formula for the electric field due to this sheet is E = σ/2ε₀, where ε₀ is the permittivity of free space (a constant).
Step 6: If the charge on the sheet is positive, the electric field points away from the sheet.

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