2
$\begingroup$

I'm attempting to solve the Poisson equation in 3D for a magnetic vector potential in the presence of a current source. To validate my code, I'm initially looking to reproduce the model described in the following pair of papers:

The paper gives the following figure to describe the coil which carries the current: enter image description here

Alongside the following parameters:

  • 20 Amps of current.
  • Wire is of type AWG #16 with 861 turns
  • Winding Height (Z axis): 8.89cm
  • Outer Boundary Cross Section: 15.24 cm x 15.24 cm
  • Inner Boundary Cross Section: 10.42 cm x 10.42 cm

I also know that the current density should be homogeneous in a specific element. In this model Jz = 0 throughout and I know J = N*I / A, where A is the cross sectional area, N the number of turns and I the current.

$\endgroup$
1
$\begingroup$

Defining current density in this system can be done by considering the average current density within the winding region, $J_{0}$ (then subdividing this into elements). For winding height h, Inner cross section $L_{1}$, Outer cross section $L_{2}$ with N turns carrying current I:

$ J_{0} = \frac{IN}{h(L_{2} - L_{1})/2} $.

I note this expression does not incorporate the specific wire properties which are also specified in the paper - this maybe to allow physical reconstruction of the system rather than for the modelling side.

| cite | improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.