(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, eachof which has 4 energy levels given by 0, 4, 4± µg.(a) Derive the partition function Z, Helmholtz free energy F, and magnetization M = m/V(b) Show that the magnetic susceptibility of this system is given byHoMX = limB→0 BКТ (3 + eрА)

(a). For the first energy level, The partition function is, Z1=e-β0 where β=1kT Z1=e-0=1 For the…

(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each of which has 4 energy levels given by 0, 4, 4 ±µg. = m/V (a) Derive the partition function Z, Helmholtz free energy F, and magnetization (b) Show that the magnetic susceptibility of this system is given by HoM X = lim B→0 B kT(3 + eß4)

(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each of which has 4 energy levels given by 0, 4, 4 ±µg. = m/V (a) Derive the partition function Z, Helmholtz free energy F, and magnetization (b) Show that the magnetic susceptibility of this system is given by HoM X = lim B→0 B kT(3 + eß4)