(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each of which has four energy levels given by 0, 4, 4±µÅB. (a) Calculate the partition function Z, Helmholtz free energy F, and magnetization M = m/V. (b) Show that the magnetic susceptibility of this system is given by мом x = lim B-0 B Ζημομα kT (3 + eẞ4)

(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each of which has four energy levels given by 0, 4, 4±µÅB. (a) Calculate the partition function Z, Helmholtz free energy F, and magnetization M = m/V. (b) Show that the magnetic susceptibility of this system is given by мом x = lim B-0 B Ζημομα kT (3 + eẞ4)