A loop of wire of radius R is in the x-y plane, centered at theorigin, carries a current I counterclockwise as viewed from a pointon the positive z axis. We are interested in the magnetic field ata point on the z axis, eg. P = (0, 0, z).
(a) What is the contribution to the magnetic field (in vectorform!) due to a section of current of length dl at (R, 0, 0)?
(b) What is the contribution to the magnetic field (in vectorform!) due to a section of current of length dl at (0, R, 0)?
(c) What is the contribution to the magnetic field (in vectorform!) due to a section of current of length dl at (-R, 0,0)?
(d) What is the contribution to the magnetic field (in vectorform!) due to the complete loop?