An electron with kinetic energy K e travels in a circular path that is perpendicular to a uniform...

An electron with kinetic energy K_e travels in a circular path that is perpendicular to a uniform magnetic field, which is in the positive direction of a z axis. The electron\"s 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 Âľ = K_e/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 K_i under the same circumstances?(d) An ionized gas consists of 5.3 x 10²¹ electrons/m³ and the same number density of ions. Take the average electron kinetic energy to be 6.2 x 10^-20 J and the average ion kinetic energy to be 7.6 x 10^-21 J. Calculate the magnetization of the gas when it is in a magnetic field of 1 .2 T.