How to use a matrix of data of B field in a 3D space to calculate the induced current in a closed loop on xy plane

Dear all:

Any one could help me with this problem:

I want to use a matrix of data which describes the magnetic field(Bx, By, Bz) at point(x, y, z) in a column of space to calculate the the induced current in a closed loop on xy plane. Basically the surface integration of dot product of dB and dS. Is there a way to do that?

Any one could help please as soon.

Thanks a lot! Ruming

Answer 1

[Star Strider]

I have your data and file from your earlier Question, and provided your (1*108) vectors. What I don’t understand are what ‘B’ and ‘S’ are.

To create the derivatives, use the gradient function. The dot product is then straightforward to calculate.

[NeoBeaver]

Hi Star Strider,

Thank you for your help! What I mean by B is the magnetic field strength, and S is the area to integrate B on.

Thanks!

Ruming

[Star Strider]

My pleasure!

What are they in terms of your data?

[NeoBeaver]

Hi Star Strider,

Thank you for your help! What do you mean by "in terms of your data"?

Thanks!

Ruming

[Star Strider]

I may still have your file.

Does it have any relevance to this Question, and if so, what?