  After obtaining an exact analytical time-varying solution for the
Aharonov-Casher conducting ring embedded in a textured static/dynamic electric
field, we investigate the spin-resolved quantum transport in the structure. It
is shown that the interference patterns are governed by not only the
Aharonov-Casher geometry phase but also the instantaneous phase difference of
spin precession through different traveling paths. This dynamic phase is
determined by the strength of applied electric field and can have substantial
effects on the charge/spin conductances, especially in the weak field regime as
the period of spin precession comparable to that of the orbital motion. Our
studies suggest that a low-frequency normal electric field with moderate
strength possesses more degrees of freedom for manipulating the spin
interference of incident electrons.
