[Electromagnetics] Divergence of Current density

Thread starter kidsasd987
Start date Nov 30, 2015
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Current Current density Density Divergence Electromagnetics

In summary, divergence is a mathematical concept in electromagnetics that describes the spreading or dispersal of electric and magnetic fields. It is related to current density, which is the amount of electric current flowing through a unit area, and it is calculated using the divergence operator. The divergence of current density is significant in electromagnetics because it helps to describe the behavior of electric and magnetic fields, and it has a direct impact on the strength and direction of electromagnetic fields.

Nov 30, 2015

kidsasd987

eq.1

eq2.

eq.3

eq.4Hello, I have a question about eq.4

If we find the closed surface flux integral of J, would it be current?

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Dec 1, 2015

PWiz

kidsasd987 said:

Hello, I have a question about eq.4

If we find the closed surface flux integral of J, would it be current?

Yes.

1. What is the concept of divergence in electromagnetics?

In electromagnetics, divergence is a mathematical concept that describes the spreading or dispersal of electric and magnetic fields. It is a measure of how much a vector field, such as the electric or magnetic field, flows or spreads out from a given point.

2. How is divergence related to current density?

In electromagnetics, current density is the amount of electric current flowing through a unit area. The divergence of current density is a measure of how much current is flowing into or out of a given point in a vector field. It provides information about the flow of electric current in a particular region.

3. What is the significance of divergence of current density in electromagnetics?

The divergence of current density is important in electromagnetics because it helps to describe the behavior of electric and magnetic fields. It can be used to understand the flow of electric current, the distribution of charge, and the generation of electromagnetic waves. It is also a key concept in Maxwell's equations, which describe the fundamental laws of electromagnetics.

4. How is the divergence of current density calculated?

The divergence of current density is calculated using the vector calculus operation known as the divergence operator. In Cartesian coordinates, it is expressed as the sum of the partial derivatives of the x, y, and z components of the current density. In other coordinate systems, it may be expressed using different operators, such as the nabla operator.

5. How does the divergence of current density affect electromagnetic fields?

The divergence of current density has a direct impact on the behavior of electromagnetic fields. In regions where the current density is diverging, the electric and magnetic fields will also diverge, meaning they will spread out from a given point. This can result in changes to the strength and direction of the fields, which can have a significant impact on the overall behavior of the electromagnetic system.