Charge density and electric field

In summary, charge density refers to the amount of electric charge per unit volume and is measured in coulombs per cubic meter (C/m³). It is directly proportional to the electric field and can be represented by the equation E = ρ/ε. A uniform charge density means even distribution of charge and a constant electric field, while a non-uniform charge density results in a varying electric field. The charge density of a material can affect the behavior of electric fields, with high charge density materials allowing for easy flow of current and low charge density materials hindering it. Charge density can be negative when there is an excess of negative charge in a given volume, and positive when there is an excess of positive charge.
  • #1
xz5x
18
0
Is my procedure/result correct? Are these equations relevant for the problem? Many thanks!


Homework Statement

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Homework Equations

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The Attempt at a Solution

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http://img511.imageshack.us/img511/5962/cdensity.jpg
 
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  • #2
Your procedure looks right, so I'd expect that the answer should be right as well. (I don't know offhand what it's supposed to be, of course)
 
  • #3
Thank you very much!
 

What is charge density?

Charge density refers to the amount of electric charge per unit volume. It is typically denoted by the symbol ρ and is measured in coulombs per cubic meter (C/m³).

How is charge density related to electric field?

The electric field is directly proportional to the charge density. This means that as the charge density increases, the electric field also increases. The relationship between charge density and electric field is given by the equation E = ρ/ε, where E is the electric field, ρ is the charge density, and ε is the permittivity of the medium.

What is the difference between uniform and non-uniform charge density?

A uniform charge density means that the amount of charge is evenly distributed throughout the volume. This results in a constant electric field throughout the medium. On the other hand, a non-uniform charge density means that the charge is not evenly distributed, resulting in a varying electric field throughout the medium.

How does charge density affect the behavior of electric fields in different materials?

The charge density of a material can significantly impact the behavior of electric fields. Materials with high charge density, such as conductors, allow for the easy flow of electric current, while materials with low charge density, such as insulators, hinder the flow of electric current.

Can charge density be negative?

Yes, charge density can be negative. This occurs when there is an excess of negative charge in a given volume, resulting in a negative charge density. In contrast, a positive charge density occurs when there is an excess of positive charge in a given volume.

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