Question about magnetic field of hollow wire with square cross section?

Question

If you had a hollow wire with a square cross section carrying a total current I along its length, what could you say about its magnetic field?

More specifically, what would you say about the magnetic field INSIDE the wire?

Answer 1

There would essentially be no field inside the wire. All the current is carried equally around the outside. The fields inside would tend to "cancel" or counter each other with a net of zero. Of course, very near the corners, that would not be true. At the corners it would be like two wires crossing, not exactly, but close. As you get to the middles it is more like what would be seen from a hollow circular tube. It might help to imagine four separate sheets carrying current as they are brought together to form a square.

Answer 2

By Ampere's law if you put a surface just inside the conductor, the current density inside the surface will be zero so I would expect no magnetic fields there. I agree with the 1st person to answer. Depending on the sides of the conductor, somewhat planar (4 sides of course) near the conductor and approacing cylindical farther out.

http://en.wikipedia.org/wiki/Amp%C3%A8re's_law

Answer 3

Close to the wire the field would look nearly square and at a distance it would look circular.

Answer 4

you will possibly might desire to word Maxwell's equations numerically. There are numerous suites of utility on the marketplace to try this, yet they're kinda costly. the outcomes on your short sq. cord will in straightforward terms be very extremely distinctive than for a protracted around pass element of cord.

Answer 5

Perhaps you should evaluate how radio frequency waves propagate down a wave guide, instead of creating a unpractical scenerio...