Self-inductance of a toroid with a rectangular cross section

In summary, self-inductance is the property of an electric circuit or component that opposes changes in current flow and is measured in Henrys. A toroid with a rectangular cross section is a type of inductor with a doughnut-shaped core and a rectangular hole in the middle. The rectangular shape allows for a larger number of turns of wire, resulting in a higher self-inductance compared to a toroid with a circular cross section. The self-inductance of a toroid with a rectangular cross section is affected by factors such as the number of turns of wire, the core's shape and material, and the distance between turns. The self-inductance can be calculated using the formula L = (µ0*N^2*A
  • #1
Ravasash
1
0
I have found answers on how to calculate the self-inductance of toroid of rectangular cross section, however my question says that "The winding are seen as a thin homogeneous currentlayer around the core" (excuse the translation). What does that mean for N? Does it mean N=1?
 
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  • #2
Ravasash said:
Does it mean N=1?
Yes.
Say that the original values are: N = Norg , I = Iorg.
In the approximated model the values become:
Napp = 1 , Iapp = Iorg * Norg.
The reason for this approximation is that the coil is formed like the thread on a screw, which make calculations difficult.
 

1. What is self-inductance?

Self-inductance is the property of an electric circuit or component that causes it to oppose any change in current flow. It is represented by the symbol L and is measured in Henrys (H).

2. What is a toroid with a rectangular cross section?

A toroid with a rectangular cross section is a type of inductor that is shaped like a doughnut with a rectangular hole in the middle. It is made up of a coil of wire wrapped around a core, often made of iron or ferrite material, and has a rectangular shape when viewed from the top.

3. How does the rectangular cross section affect the self-inductance of a toroid?

The rectangular cross section of a toroid affects its self-inductance by providing a larger surface area for the magnetic field to pass through, resulting in a higher inductance value compared to a toroid with a circular cross section. This is because the rectangular shape allows for a larger number of turns of wire to be wrapped around the core, increasing the magnetic flux and thus the self-inductance.

4. What factors affect the self-inductance of a toroid with a rectangular cross section?

The self-inductance of a toroid with a rectangular cross section is affected by the number of turns of wire in the coil, the shape and size of the core, the material of the core, and the distance between the turns of wire. These factors can be manipulated to increase or decrease the self-inductance of the toroid.

5. How is self-inductance of a toroid with a rectangular cross section calculated?

The self-inductance of a toroid with a rectangular cross section can be calculated using the formula L = (µ0*N^2*A)/l, where µ0 is the permeability of free space, N is the number of turns of wire, A is the cross-sectional area of the core, and l is the length of the core. This formula can be used to determine the self-inductance of the toroid for a given set of parameters.

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