  The Berry curvature involving time and momentum derivatives, which we term
emergent electric field, induces a nondisspative current known as the adiabatic
charge pumping or Thouless pumping in periodically driven systems. We study
dissipative currents originated from the interplay between emergent electric
fields and electric/magnetic fields in two and three dimensions on the basis of
the Boltzmann transport theory. As an example of two-dimensional models, we
study the Rashba Hamiltonian with time-dependent and anisotropic spin-orbit
coupling. We show that the interplay between emergent electric fields and
electric fields leads to a current transverse to electric fields, which is
symmetric and contributes to the entropy production. As an example of
three-dimensional models, we study the Weyl Hamiltonian under AC electric
fields. We show that the interplay between emergent electric fields and
magnetic fields leads to a Hall-type current at zero DC electric fields, which
is now transverse to DC magnetic fields: $j_{x}=\sigma_{xy}B_y$
($\sigma_{xy}=-\sigma_{yx}$). The Hall photocurrent is relevant in the
inversion symmetry breaking Weyl semimetals such as TaAs or SrSi$_2$.
