What is the electric field (E) due to a uniformly charged infinite plane sheet w

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Question: What is the electric field (E) due to a uniformly charged infinite plane sheet with surface charge density (σ)?

Options:

Correct Answer: E = σ / (2 * ε)

Solution:

The electric field due to a uniformly charged infinite plane sheet is E = σ / (2 * ε).

What is the electric field (E) due to a uniformly charged infinite plane sheet with surface charge density (σ)?

What is the electric field (E) due to a uniformly charged infinite plane sheet with surface charge density (σ)?

Step 1: Understand that a uniformly charged infinite plane sheet has a surface charge density (σ), which means it has a consistent amount of charge spread out over its surface.
Step 2: Recall that the electric field (E) is a measure of the force that a charged object would experience in the presence of this charged sheet.
Step 3: Recognize that for an infinite plane sheet, the electric field is uniform, meaning it has the same strength and direction at all points in space.
Step 4: Use the formula for the electric field due to a uniformly charged infinite plane sheet, which is E = σ / (2 * ε), where ε (epsilon) is the permittivity of free space.
Step 5: Understand that this formula shows that the electric field strength (E) is directly proportional to the surface charge density (σ) and inversely proportional to the permittivity (ε).

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