Electric Field Due To Infinite Sheet
Mediumphysics
An infinite sheet of charge has surface charge density σ. What is the electric field at a point near the sheet?
Select the correct option:
Solution
Incorrect! Answer:
σ/(2ε₀)
- Gauss's Law Application: Use a cylindrical Gaussian surface passing through the non-conducting sheet.
- Flux Calculation: Flux Φ passes through both circular ends of the cylinder. Φ=2EA.
- Charge Enclosed: q=σA (charge density × area).
- Apply Law: 2EA=ϵ0σA.
- Final Expression: E=2ϵ0σ.
- Critical Property: The field magnitude is independent of the distance from the sheet, making it a uniform field.
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About This Question
- Subject
- physics
- Chapter
- electrostatics
- Topic
- electric field due to infinite sheet
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
σ/(2ε₀)
- Gauss's Law Application: Use a cylindrical Gaussian surface passing through the non-conducting sheet.
- Flux Calculation: Flux Φ passes through both circular ends of the cylinder. Φ=2EA.
- Charge Enclosed: q=σA (charge density × area).
- Apply Law: 2EA=ϵ0σA.
- Final Expression: E=2ϵ0σ.
- Critical Property: The field magnitude is independent of the distance from the sheet, making it a uniform field.
This medium difficulty physics question is from the chapter electrostatics, covering the topic of electric field due to infinite sheet. It appeared in the 2025 exam.
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