The conductance of a weakly interacting electron gas in the presence o
f a single scatterer is found at arbitrary strength of the scattering
potential. At weak interaction, a simple renormalization group approac
h can be used instead of the standard bosonization procedure. Our tech
nique allows us to take into account the backscattering of electrons t
hat leads to deviations of the low-temperature conductance from the be
havior typical for Luttinger liquid. In the presence of magnetic field
, the backscattering may give rise to a peak in differential conductan
ce at bias equal to the Zeeman energy.