  We investigate the charge-dependent flow induced by magnetic and electric
fields in heavy ion collisions. We simulate the evolution of the expanding
cooling droplet of strongly coupled plasma hydrodynamically, using the
iEBE-VISHNU framework, and add the magnetic and electric fields as well as the
electric currents they generate in a perturbative fashion. We confirm the
previously reported effect of the electromagnetically induced currents, that is
a charge-odd directed flow $\Delta v_1$ that is odd in rapidity, noting that it
is induced by magnetic fields (\`a la Faraday and Lorentz) and by electric
fields (the Coulomb field from the charged spectators). In addition, we find a
charge-odd $\Delta v_3$ that is also odd in rapidity and that has a similar
physical origin. We furthermore show that the electric field produced by the
net charge density of the plasma drives rapidity-even charge-dependent
contributions to the radial flow $\langle p_T \rangle$ and the elliptic flow
$\Delta v_2$. Although their magnitudes are comparable to the charge-odd
$\Delta v_1$ and $\Delta v_3$, they have a different physical origin, namely
the Coulomb forces within the plasma.
