# Flux Density, B, of a Cylindrical Magent

• Bri1
In summary, flux density, B, is a measure of the strength of a magnetic field within a cylindrical magnet. It is defined as the amount of magnetic flux per unit area perpendicular to the direction of the field. B is directly proportional to the number of magnetic field lines passing through a given area, making it a useful quantity for determining the strength and direction of a magnetic field. It is also affected by the size and shape of the magnet, as well as the type of material it is made of. Overall, flux density plays a crucial role in understanding and manipulating magnetic fields in various applications.
Bri1
Hi, I'm trying to calculate the flux density of a magnet, I can get all but one of the values needed to calculate it. Does anyone know how/where to get the z(distance from a pole face on the symmetrical axis) value?

Bri1 said:
Hi, I'm trying to calculate the flux density of a magnet, I can get all but one of the values needed to calculate it. Does anyone know how/where to get the z(distance from a pole face on the symmetrical axis) value?View attachment 113520
Welcome to the PF.

z is just a variable. It looks like you have an equation there which would work along the z axis for varying distances, no?

BTW, is this for schoolwork or a hobby project?

berkeman said:
Welcome to the PF.

z is just a variable. It looks like you have an equation there which would work along the z axis for varying distances, no?

BTW, is this for schoolwork or a hobby project?

Thanks for responding, It's for school but it feels more like a hobby, I was thinking of just assuming a value for z. I'm studying mechanical engineering so electrical isn't my strong point. But I believe it might be a set value, maybe a distance from the pole face to the height of the flux field? but then I don't know the height of the flux field anyway

My reason for thinking its a set value is because the flux density of the magnet shouldn't change with respect to z not so?

Bri1 said:
Thanks for responding, It's for school but it feels more like a hobby, I was thinking of just assuming a value for z. I'm studying mechanical engineering so electrical isn't my strong point. But I believe it might be a set value, maybe a distance from the pole face to the height of the flux field? but then I don't know the height of the flux field anyway

My reason for thinking its a set value is because the flux density of the magnet shouldn't change with respect to z not so?
No, it definitely changes with distance z. It looks like this:

http://www.4physics.com/phy_demo/NewtonsNightmare/ShortBarMagnetBField.gif

So yes, just use the equation to calculate the flux density at some distance z away from the pole face.

Oh okay thanks!

but what if the distance I wanted to calculate B for is horizontally across from the magnet instead of vertically away from it? A different formula?

## 1. What is flux density, B, of a cylindrical magnet?

Flux density, B, of a cylindrical magnet is a measure of the strength of the magnetic field produced by the magnet. It is defined as the amount of magnetic field per unit area.

## 2. How is the flux density, B, of a cylindrical magnet calculated?

The flux density, B, of a cylindrical magnet can be calculated by dividing the magnetic flux, which is the total number of magnetic field lines passing through a given area, by the area itself.

## 3. What factors affect the flux density, B, of a cylindrical magnet?

The flux density, B, of a cylindrical magnet is affected by the strength of the magnet, the size and shape of the magnet, and the distance from the magnet's surface.

## 4. How is the flux density, B, of a cylindrical magnet measured?

The flux density, B, of a cylindrical magnet can be measured using a device called a gaussmeter, which detects and measures the strength of a magnetic field.

## 5. How does the flux density, B, of a cylindrical magnet relate to its magnetic field strength?

The flux density, B, of a cylindrical magnet is directly proportional to its magnetic field strength. This means that as the magnetic field strength increases, so does the flux density.

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