  Spin ice systems display a variety of very nontrivial properties, the most
striking being the existence in them of magnetic monopoles. Such monopole
states can also have nontrivial electric properties: there exist electric
dipoles attached to each monopole. A novel situation is encountered in the
moment fragmentation (MF) state, in which monopoles and antimonopoles are
perfectly ordered, whereas spins themselves remain disordered. We show that
such partial ordering strongly modifies the electric activity of such systems:
the electric dipoles, which are usually random and dynamic, become paired in
the MF state in (d,-d) pairs, thus strongly reducing their electric activity.
The electric currents existing in systems with noncoplanar spins are also
strongly influenced by MF. We also consider modifications in dipole and current
patterns in magnetic textures (domain walls, local defects) and at excitations
with nontrivial dynamics in a MF state, which show very rich behaviour and
which could in principle allow to control them by electric field.
