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- Homework Statement
- An long straight wire (can be assumed infinite) with a circular cross-section of radius R is lying along the z axis and it has

an internal H~ field given by:

H = (j_0/r) ((1/a^2)sin(ar)-(r/a)cos(ar)) φˆ

where r is the radial distance from the centre of the circular conductor, φˆ is the azimuthal unit

vector, J0 is a constant current density, and a=π/(2R).

Find an expression for the total free current

in the conductor, and give its direction.

- Relevant Equations
- Ampere's law

∫ H.dl = ∫ j_f .dS = I_f

∇ x H = j_f

I'm not sure how to actually solve this?

∇ x H = j_f

I'm not sure how to actually solve this?