  We present high-resolution $H$- and $K$-band spectroscopic observations of
the archetypal T Tauri star T Tau North. Synthetic spectral modeling is used to
derive the $K$-band temperature, surface gravity, magnetic field strength, and
rotational velocity for this star. The $K$-band spectroscopic temperature
measured is $\rm T_{K\text{-band}} = 3976 \pm 90 K$, which is $\sim 1000 \, \rm
K$ cooler than the temperature measured from optical observations. Our $K$-band
temperature measurement for T Tau N is confirmed using equivalent width line
ratio vs. temperature relations in the $H$-band, from which a $\rm
T_{H\text{-band}} = 4085 \pm 155 K$ is derived. This optical vs. IR temperature
difference is interpreted as cool or hot spots, or both, covering a significant
part of the surface of T Tau N. The gravity derived for T Tau N $\log{g}=3.45
\pm 0.14$ is lower than the gravity of nearly every other star in a sample of
24 classical T Tauri stars in Taurus. Combining these temperature and gravity
results with magnetic stellar evolutionary models, we find the age of T Tau N
to be less than 1 Myr old. These results suggest that T Tau N is in an earlier
evolutionary stage than most classical T Tauri stars in Taurus, arguing that it
is a protostar ejected from the embedded southern binary system shortly after
its formation.
