Question

A linear current J flows along the z axis in its positive direction starting at z = −∞. At the point z = −R the current spreads and begins to ow uniformly along the sphere of radius R centered at the origin of the coordinates, then gather at the diametrically opposite point z = R and continues to ow along the z axis towards the point z = ∞. Find the magnetic eld everywhere in space.

Answer 1

To →2 This is the diagrama of the current flow the magnetic field and the centre B = l I. es pointing gnelei field at on the axes at a distana where og into the page Now ma any 7. dB-Mo Idex GIT z (Oyo)Y dos - MuI Rdotô, xpg YIT (РФ) PG= - R sindîty Rcoso å i coso ?- sino do Mo I Rdo. E cosofia de YT t -R cos on +Rr? • Тра9 - сојек. (form 'Rcoso j I Ŕsiño YH -R Sind cosoi B=1 dB का + . Now scoroda 2 th to sinoda = furto do l - 2 en Sinocos Odoo Z Hence we get in cargo (R!-24 RI ÎI hofR IT 26 JK & and geryall B IT. 2 field Now magnetit eld deur aloot section is zero and m field at an the wire is zero. magnetic Dorpendicular to