  We study the transport properties of setups with one and two mesoscopic rings
threaded by ac magnetic fluxes of the form \Phi(t)=\Phi^{dc} + \Phi^{ac}
cos(\Omega_0 t + \delta) and connected to two different particle reservoirs. We
analyze the conditions to generate a pumped dc current in the adiabatic regime.
We also study the symmetry properties of the induced dc current as a function
of the static component of the flux, \Phi^{dc}, with and without a dc bias
voltage applied at the reservoirs. We analyze, in particular, the validity of
the Onsager-Casimir relations for different configurations of the setups.
