Modelling a metal detector using eddy currents from Non-Destructive Testing

  • #1
Sh_lm
2
2
Homework Statement
Modelling a metal detector
Relevant Equations
∇×E=− ∂/∂t(∇×B)
∇×B=μ0ε0∂/∂t(E)
I'm trying to model a metal detector for my internship project.
The system consist of one coil energised with an oscillator to create a magnetic field. The principle of the detection is by measuring the change in the coil impedance.
with biot et savart law the magnetic field create by the coil is expressed
1715018724594.png

where
Bem(r) : the magnetic field create by the coil
N : number of loops
Iem : current flowing through the coil
Rem : radius of the coil
r : distance from a given point in space to a point on the perimeter of the coil

The induced voltage in the target is given with faraday's law
1715019133773.png






where phi is the magnetic flux
I'm trying to find the expression of Bind the magnetic induced by eddy currents.
This is my results :
1715021033350.png

Now I've got a problem. Does Bind have a particular form? something like Bind = B0eiwt? or anything else? I need these results to start simulations so any help is welcomed thank you very much
 
Physics news on Phys.org

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
508
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
820
  • Electrical Engineering
Replies
6
Views
1K
Replies
14
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
9K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Special and General Relativity
Replies
26
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
2K
Back
Top