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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