3D Field of Cuboidal Magnet

magnet dimensions

a

0.075

b

0.075

c

0.015

cut at z =

Z

0.1

max. level

L

0.5

field components

B

x

B

y

B

z

resolution

high

The field components

B

x

,

B

y

, and

B

z

of a permanent magnet with dimensions

2a

,

2b

,

2c

and strength 1.4 Tesla are analytically calculated and displayed as a vector field.

Details

Reference[1] computes the three components of the magnetic field,

B

x

,

B

y

, and

B

z

, for a cuboidal permanent magnet. This Demonstration shows the level surfaces colored red, blue, green for

x

,

y

,

z

, respectively, and starting at the mid-plane for each component.

The controls available are:

a

,

b

,

c

change the magnet dimensions

Z

cut the graph at a

z

value

L

level range

B

x

,

B

y

,

B

z

toggle to display

x

,

y

, and

z

components

high double the graphics calculation grid

References

[1] G. Akoun and J.-P. Yonnet, "3D Analytical Calculation of the Forces Exerted between Two Cuboidal Magnets," IEEE Transactions on Magnetics, 20(5), 1984 pp. 1962–1964.

Permanent Citation

John Compter

"3D Field of Cuboidal Magnet" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/3DFieldOfCuboidalMagnet/
Published: July 2, 2014