An electron with kinetic energy Ke travels in a circular path that is perpendicular to a uniform magnetic field, which is in the positive direction of a z axis. The electrons motion is subject only to the force due to the field. (a) Show that the magnetic dipole moment of the electron due to its orbital motion has magnitude m Ke/B and that it is in the direction opposite that of . What are the (b) magnitude and (c) direction of the magnetic dipole moment of a positive ion with kinetic energy Ki under the same circumstances? (d) An ionized gas consists of 5.3 1021 electrons/m3 and the same number density of ions. Take the average electron kinetic energy to be 6.2 1020 J and the average ion kinetic energy to be 7.6 1021 J. Calculate the magnetization of the gas when it is in a magnetic field of 1.2 T.

Physics 151 Equations to Know Motion One Dimensional Two Dimensional = + ∆ = +( ) = + ∆ + .5 (∆ ) 2...