Q132 / 150 · MHT CET 2026 (15 April Shift 2) · Physics
For a uniformly charged plane sheet, the variation of electric field (E) with distance (d) is correctly shown graphically in graph
- AA
- BB
- Correct answerCC
- DD
Solution
The electric field due to a uniformly charged infinite plane sheet is given by the formula:
$E = \dfrac{\sigma}{2\epsilon_0}$
where $\sigma$ is the surface charge density and $\epsilon_0$ is the permittivity of free space.
From the formula, it is clear that the electric field $E$ is independent of the distance $d$ from the sheet. Therefore, the electric field remains constant as the distance varies.
Graphically, this is represented by a straight horizontal line parallel to the distance axis ($d$-axis). Graph (C) correctly shows this constant relationship.
Answer: C
$E = \dfrac{\sigma}{2\epsilon_0}$
where $\sigma$ is the surface charge density and $\epsilon_0$ is the permittivity of free space.
From the formula, it is clear that the electric field $E$ is independent of the distance $d$ from the sheet. Therefore, the electric field remains constant as the distance varies.
Graphically, this is represented by a straight horizontal line parallel to the distance axis ($d$-axis). Graph (C) correctly shows this constant relationship.
Answer: C
Hence, the correct answer is option: 'C'.