# Uniform distribution of charge on a plane and on a bar: conditions to

• bznm
In summary, the conversation discusses a plane with a constant surface charge distribution at z=0 and a charged bar with two constraints that cannot turn. The individual wants to calculate the total electrostatic force on the bar and wonders if they can treat the total charge q as a point in the center of the bar. The answer depends on the electric field created by the plane.

#### bznm

On the plane z=0 there is a superficial charge distribution such that $\sigma$ is constant.

Near to the plane, there is a bar, charged uniform with total charge q. At the extremities the bar has two constraints, so it can't turn.

If I want to find the constraints force and the force momentum needed to block the bar, can I consider the charge q as puntiform and put it in the midpoint of the bar?

so, you want to find the total electrostatic force on the bar. And you want to know if it is OK to simply calculate the force which would act on a single charge q in the centre of the bar. Well generally, this depends on the electric field which is acting on the bar. What can you say about the electric field created by the plane?

## 1. What is a uniform distribution of charge?

A uniform distribution of charge refers to a situation where the amount of charge is evenly spread out over a surface or object, resulting in a constant electric field throughout.

## 2. How is uniform distribution of charge achieved on a plane?

To achieve a uniform distribution of charge on a plane, the charge must be evenly distributed in all directions, with no concentration of charge in any one area. This can be achieved by evenly spreading out the charge or by using a conductive material to evenly distribute the charge across the surface.

## 3. What are the conditions for uniform distribution of charge on a plane?

The conditions for uniform distribution of charge on a plane include having a flat and even surface, with no bumps or dips that could cause a concentration of charge. The charge must also be evenly spread out and not be confined to a specific area.

## 4. Can a bar have a uniform distribution of charge?

Yes, a bar can have a uniform distribution of charge as long as it meets the conditions mentioned above. The bar must be evenly shaped and not have any curves or bends that could lead to a concentration of charge. The charge must also be evenly spread out along the length of the bar.

## 5. What are the advantages of having a uniform distribution of charge on a plane or bar?

Having a uniform distribution of charge on a plane or bar allows for a constant electric field, making it easier to calculate and predict the behavior of the electric field. It also helps to prevent any potential hazards, such as electric shocks, that could occur with uneven distribution of charge.