Question

Imagine a slab of current that is infinite in x and y but finite in z with a current density ?J. The slab has a thickness 2h (it runs from z = ?h to z = +h). Assuming the current is still in the x direction and is uniform in the x and y dimensions, but depends linearly on the height (J = J0|z|xˆ) inside the slab. Find the magnetic field everywhere in space, including inside the slab.

Answer 1

alt an nik slak po by pendicular-tothe-cur renf 32 there can be me Jield in-Ihe cancelled-b 一the z-cerponet he lime l currens nust be y die ion 91 Thc dield is in dh clab and ion the ty divetio olab with one pair adades hains ienth Parl centered-oh -the-_ they2 planc, an lel to

Ton side the slab ry planter. ur (un observeィhat m ma Prom Conmtutlah o Foom Symmetry argume Cancelled-by-the -4e Y, dnechiena Conn pement. to be, determǐhe idus one In terms z, it gives