We have analyzed Super Dual Auroral Radar Network (SuperDARN)
data between February 1998
and December 2000 to determine the statistical characteristics of the total
variation in the high-latitude ionospheric electric potential, or cross
polar cap potential,

. Periods are chosen to satisfy the criteria
that (1) the solar wind and interplanetary magnetic field (IMF) are
quasi-stable for

40 min and (2) sufficient SuperDARN data exists to
adequately determine

. A total of 9464 individual 10-min periods
satisfying the first criteria are analyzed. A subset of 2721 periods satisfy
both criteria, of which 1638 are considered high-confidence periods.
The resulting data set shows that for quasi-steady solar wind and IMF,

(1) is nonlinear in the expression for the effective interplanetary electric
field

, (2) saturates at high values of

, and (3) is highly
variable for any given value of

. These results indicate that simple
formulations involving the upstream solar wind and IMF conditions are
inadequate to describe the instantaneous

and that the inclusion of
internal and coupling processes between the magnetosphere and ionosphere may
be necessary.