Understanding Flux Density in Coils: Equations and Factors Explained

In summary, the conversation was about magnetic flux density in coils and the search for a general equation that relates it to electric current, coil dimensions, and number of turns. The participants discussed finding the magnetic field in a coil and the relationship between flux density and magnetic field. A helpful website was shared to explain the topic further.
  • #1
ElectricJosh
10
0
Hello,

I am looking into magnetic flux density in coils can anyone tell me if there is a general equation that equates flux density to the electric current, the coil's dimensions and number of turns?

Any help would be appreciated.

Thanks.
 
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  • #2
Welcome to PF;
You should have that relationship in your notes already ...
Do you know how to find the magnetic field in a coil?
Do you now the relationship between flux density and magnetic field?

http://en.wikipedia.org/wiki/Magnetic_flux_density
 
Last edited:
  • #4
Well done - that site tells you about the magnetic field in a solenoid - if you know the relationship between magnetic field and magnetic flux density, you are set :)
 
  • #5


Hello there,

Yes, there is a general equation that relates magnetic flux density to the electric current, coil dimensions, and number of turns. This equation is known as the Biot-Savart Law and is given by B = μ0 * I * N / l, where B is the magnetic flux density, μ0 is the permeability of free space, I is the electric current, N is the number of turns in the coil, and l is the length of the coil.

However, it is important to note that this equation is a simplified version and does not take into account factors such as the shape and material of the coil, as well as external magnetic fields that may affect the flux density. To get a more accurate calculation, you can use the Maxwell's equations, which take into account these additional factors.

I hope this helps. Let me know if you have any further questions. Best of luck in your research!

Best,
 

FAQ: Understanding Flux Density in Coils: Equations and Factors Explained

What is flux density and why is it important in coils?

Flux density is a measure of the concentration of magnetic field lines within a given area. It is important in coils because it determines the strength of the magnetic field produced by the coil, which is essential in many applications such as generators, motors, and transformers.

2. How is flux density calculated in coils?

Flux density in coils can be calculated using the equation B = μNl/A, where B is the flux density, μ is the permeability of the material, N is the number of turns in the coil, l is the length of the coil, and A is the cross-sectional area of the coil.

3. What factors affect flux density in coils?

The factors that affect flux density in coils include the number of turns in the coil, the strength of the current passing through the coil, the permeability of the material, and the shape and size of the coil.

4. How does flux density affect the performance of a coil?

The flux density in a coil directly affects the strength of the magnetic field produced, which in turn affects the performance of the coil. Higher flux density results in a stronger magnetic field, while lower flux density can lead to weaker performance or even failure of the coil.

5. How can the flux density in a coil be controlled?

The flux density in a coil can be controlled by altering the factors that affect it, such as the number of turns, current strength, and material used. Additionally, using materials with higher permeability can increase the flux density in a coil.

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