The nearly face-on spiral galaxy NGC 3938 has been observed in the H-alpha
line with the TAURUS II Fabry-Perot interferometer at the William Herschel
Telescope in order to study the kinematics of the ionized gas. We are able
to construct intensity, velocity and velocity dispersion maps for this gala
xy. The rotation curve of the galaxy is calculated up to 4.5 radial scale l
engths from the galactic centre. The residual velocity field shows very sma
ll values with no systematic pattern. The mean velocity dispersion is appro
ximately constant with radius at about 11 km s(-1) as previously reported f
or the neutral and molecular gas. We have also studied the relation between
intensity and velocity dispersion for the ionized gas. We have found that
this distribution is compatible with a turbulent gas relaxing to a Kolmogor
ov type turbulence as the stationary regime. The average dispersion varies
with intensity as sigma proportional to I-1/8 although it becomes much stee
per at higher intensities, for which the dispersion is kept almost constant
at a value of about 19 km s(-1).