A ring of radius R has a counterclockwise (looking down) current of I . a) Find

Question

A ring of radius R has a counterclockwise (looking down) current of I . a) Find the magnetic field produced by the ring at point P which is a distance z from the origin. Express your answer in terms of R, z, and I, (This problem is done in the book. Do this problem on your own and show all work for full credit. A charge of Q =0.05 ?C is smeared uniformly over a thin plastic disk of radius R=6 cm. The disk is spun with angular velocity =?. b) Find an expression for the magnetic field produced at the origin in terms of ?, R, and Q. c) What angular speed ? is needed for the disk to produce the same magnetic field at the origin as the ring of part a) with a current of 60 ?A and radius of 6 cm.

Explanation / Answer

T he focus of our studies in electricity and magnetism so far has been the elec- tric ?elds produced by stationary charges and the magnetic ?elds produced by moving charges. This chapter deals with electric ?elds produced by changing magnetic ?elds. Experiments conducted by Michael Faraday in England in 1831 and indepen- dently by Joseph Henry in the United States that same year showed that an emf can be induced in a circuit by a changing magnetic ?eld. As we shall see, an emf (and therefore a current as well) can be induced in many ways

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