Getting the magnetic field as a function of current

[vogtster]

Howdy,

So, I'm curious, is there a general relationship between current input into an electromagnetic and the magnetic field that it generates in space? The trivial example is wrapping a wire around a rod, then sending a current through it which causes a magnetic field.

My set up is a simple circuit, where we have a power supply, resistor, and electromagnet. I want to solve maxwell equations, and I want to find the relationship between B and I, that is B(x,y,z,t,I).

I have Jackson, so if someone could refer me to an area in his book which may explain this, or any other sources I would appreciate it.

 

[BvU]

My set up is a simple circuit, where we have a power supply, resistor, and electromagnet

So why ask? Experiment !

Jackson isn't very introductory. Hyperphysics is a lot friendlier...

 

[EnEE]

It's may be difficult...
according to general equations it's linear relationship(like here: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/solenoid.html or here: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcur.html)

notice that usually all the computes are in specific area of the space, usually where the integral is easy to solve...
If you want to simulate your magnetic circuit(everywhere in space) you can use this software: http://www.femm.info/wiki/HomePage

but always remember: "In theory there is no difference between theory and practice. In practice there is." and as I saw, especially in elctromagnets there is big difference

 

[jim hardy]

If there's ferromagnetic material involved you have some complications
its nonlinearity, google permeability
its memory google hysteresis , retentivity
its time dependence google Barkhausen
its own reaction to magnetic field google eddy current, retardation of magetization , magnetorestriction

Bozorth kinda 'wrote the book' on Ferromagnetism

.................

my two cents, and probably it's overpriced at that.

 

[CWatters]

Perhaps...
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/solenoid.html#c1
Edit: Oops that's way too simple now I've read the original question again.