The electric field intensity at a point due to a uniformly charged infinite plane sheet depends on the:

  1. Surface charged density
  2. Perpendicular distance of the point from the plane sheet
  3. Both 1 and 2
  4. None of these

Answer (Detailed Solution Below)

Option 1 : Surface charged density
Free
CRPF Head Constable & ASI Steno (Final Revision): Mini Mock Test
20.7 K Users
40 Questions 40 Marks 45 Mins

Detailed Solution

Download Solution PDF

CONCEPT:

Gauss law:

  • According to the Gauss law, the total flux associated with any closed surface is 1/ε0 times the total charge enclosed by the closed surface.

\(\Rightarrow ϕ=\int \vec{E}.\vec{dA}=\frac{q}{ϵ_{o}}\)

Electric field intensity due to a uniformly charged infinite plane sheet:

  • The electric field intensity at a point due to a uniformly charged infinite plane sheet is given as,

\(\Rightarrow E=\frac{σ}{2ϵ_o}\)

Where σ = surface charge density, and ϵo = permittivity

  • The electric field intensity due to a uniformly charged infinite plane sheet does not depend on the distance of the point from the plane sheet.

EXPLANATION:

  • We know that the electric field intensity at a point due to a uniformly charged infinite plane sheet is given as,

\(\Rightarrow E=\frac{σ}{2ϵ_o}\)     ---(1)

Where σ = surface charge density, and ϵo = permittivity

  • By equation 1 it is clear that the electric field intensity due to a uniformly charged infinite plane sheet depends on the surface charge density only. Hence, option 1 is correct.
Latest Indian Coast Guard Navik GD Updates

Last updated on Jun 11, 2025

-> The Indian Coast Guard Navik GD is a prestigious exam for those who want to serve the country in Defence Services.

-> A total of 260 vacancies have been released through the Coast Guard Enrolled Personnel Test (CGEPT) for the 01/2026 and 02/2026 batch.

-> Candidates can apply online from 11th to 25th June 2025.

-> Candidates who have completed their 10+2 with Maths and Physics are eligible for this post. 

-> Candidates must go through the Indian Coast Guard Navik GD previous year papers.

More Applications of Gauss’s Law Questions

More Electric Fields and Gauss' Law Questions

Get Free Access Now
Hot Links: teen patti bonus happy teen patti teen patti earning app