We analyze the macroscopic response of an unpinned two-dimensional Wigner c
rystal (WC) for the case of nonlinear losses with a nonuniform ac excitatio
n in the Corbino geometry. For a WC above a liquid-helium surface, the nonl
inearity arises from the Bragg-Cherenkov resonance, which gives saturation
of the drift velocity with driving force. We present an analytical theory o
f the current distribution in the vicinity of the resonance. The theory rel
ates the measured magnetoconductivity of WC to the microscopic characterist
ics of the resonance, in particular to the low-velocity tail of the frictio
nal force.