Magnetic field of the cylindrical coil - QuickField simulation example
In the lab the magnetic flux density is measured by a webermeter.
How to calculate the magnetic flux density along the axis of a cylindrical coil with and without a steel core?
Answer Typical applications Geometry
Given
Task
Solution
Results
Engineering question
Set up an axisymmetric DC Magnetics problem for the coil (with and without the steel core), solving only the upper-right quarter under symmetry boundary conditions. Then plot the flux density along the coil axis to compare the air-core and steel-core cases.
cylindrical solenoids, long coils, laboratory electromagnets
Download
Simulation problem
Problem Type
Axisymmetric problem of DC magnetics.
Current density in the coil j=0.1 A/mm².
Relative magnetic permeability of air and copper μ=1.
Relative magnetic permeability of steel of the core μ=500.
Make a plot of magnetic flux density distribution along the axis of the coil with and without steel core.
Due to problem symmetry only upper-right quarter is defined, and at the axes of symmetry boundary conditions are set.
At the vertical axis of symmetry (line Ob) Ht=0. At the horizontal axis of symmetry Oa Bn=0. From B=rotA in the cylindrical coordinate system we have at the
axis Oa A=const. Field fades at the infinity, so at the line Oa A=0 due to continuity of A.
Dependence of the magnetic flux density upon the distance from the coil center:
Video
Related examples