Question

Represent graphically the variation of the electric field with distance, for a uniformly charged plane sheet.

Answer 1

Hint: In order to solve this question, we should know that the space around an electric charge where the electric force can be experienced is called the electric field, and here we will use the general formula of electric field due to uniformly charged plane sheet and then draw the graph with Electric field versus the distance from the plane sheet.

Complete answer:
For a uniformly charged plane sheet having surface charge density of $\sigma $ then electric field due to uniformly charged plane sheet at any distance from it is calculated using
$E = \dfrac{\sigma }{{2{ \in _0}}}$
where,
${ \in _0} = 8.854 \times {10^{ - 12}}{N^{ - 1}}{C^2}{m^{ - 2}}$ is known as the relative permittivity of free space.

So, we see that electric field due to uniformly charged plane sheet is independent of the distance let’s say ‘r’ so, Graph will be a straight line parallel to the X-axis where Distance r is represented on X-axis and magnitude of electric field E is represented on Y-axis so, The graph is shown below as


Hence, the electric field always remains constant for a given uniformly charged plane sheet with respect to distance from the plane sheet.




Note: The surface charge density is calculated as the total charge divided by the surface area of the object and when the charge is distributed equally in each section of the object means the charge per unit area is the same all over the surface of the object it’s called object has uniformly charged.