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23 Nov 2019

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?

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