  Waves with constant vorticity and electrohydrodynamics flows are two topics
in fluid dynamics that have attracted much attention from scientists for both
the mathematical challenge and their industrial applications. The coupling of
electric fields and vorticity is of significant research interest. In this
paper, we study the flow structure of steady periodic travelling waves with
constant vorticity on a dielectric fluid under the effect of normal electric
fields. Through the conformal mapping technique combined with pseudo-spectral
numerical methods, we develop an approach that allows us to conclude that the
flow can have zero, two or three stagnation points according to variations in
the voltage potential. We describe in detail the recirculation zones that
emerge together with the stagnation points. Besides, we show that the number of
local maxima of the pressure on the bottom boundary is intrinsically connected
to the saddle points.
