  A Fermi Liquid theory is developed for the persistent current past a side
coupled quantum dot yielding analytical predictions for the behavior of the
first two harmonics of the persistent current as a function of applied magnetic
flux. The quantum dot is assumed weakly coupled to a ring of non-interacting
electrons and thus appropriately described as a Kondo impurity. The theory is
valid at weak Kondo couplings in the regime where the system size, L, is much
larger than the size of the Kondo screening cloud, xi_K. The predictions of the
Fermi Liquid theory are compared to exact diagonalization results for the
persistent current that lend support to the existence of a regime correctly
described by this theory. The finite temperature conductance, at T << T_K is
also calculated using Fermi liquid theory allowing the definition of a ``Wilson
ratio" relating the conductance and the persistent current.
