This paper investigates the density expansion of the thermodynamic properti
es of a two-component plasma under the influence of a weak constant uniform
magnetic field. We start with the fugacity expansion for the Helmholtz fre
e energy. The leading terms with respect to the density are calculated by a
perturbation expansion with respect to the magnetic field. We find a magne
tic virial function for a low density plasma which is exact in quadratic or
der with respect to the magnetic field. Using these results we compute the
magnetization and the magnetic susceptibility.