  The classical two-dimensional one-component plasma is an exactly solvable
model, at some special temperature, even when the one-body potential acting on
the particles has a quadrupolar term. As a supplement to a recent work of Di
Francesco, Gaudin, Itzykson, and Lesage [{\it Int. J. Mod. Phys.} {\bf A9},
4257 (1994)] about an $N$-particle system ($N$ large but finite), a macroscopic
argument is given for confirming that the particles form an elliptical blob,
the analogy between the classical plasma and a quantum $N$-fermion system in a
magnetic field is used for the microscopic approach, and a microscopic
calculation of the surface charge-surface charge correlation function is
performed; an expected universal form is shown to be realized by this
correlation function.
