For an infinite plane sheet of charge with surface charge density σ, what is the electric field at any point?
Practice Questions
1 question
Q1
For an infinite plane sheet of charge with surface charge density σ, what is the electric field at any point?
σ/2ε₀
σ/ε₀
0
σ/4πε₀
The electric field due to an infinite plane sheet of charge is constant and given by E = σ/2ε₀ on either side of the sheet.
Questions & Step-by-step Solutions
1 item
Q
Q: For an infinite plane sheet of charge with surface charge density σ, what is the electric field at any point?
Solution: The electric field due to an infinite plane sheet of charge is constant and given by E = σ/2ε₀ on either side of the sheet.
Steps: 5
Step 1: Understand that a plane sheet of charge is a flat surface with charge distributed evenly over it.
Step 2: Recognize that the surface charge density (σ) is the amount of charge per unit area on the sheet.
Step 3: Know that the electric field (E) created by the sheet is the same at any point on either side of the sheet.
Step 4: Remember that the formula for the electric field due to an infinite plane sheet of charge is E = σ/2ε₀, where ε₀ is the permittivity of free space.
Step 5: Conclude that the electric field is constant and does not depend on the distance from the sheet.
