We study a surface superlattice structure, consisting of a two dimensi
onal electron gas (2DEG) with a periodic array of Schottky gates on th
e surface and an additional back gate, which independently controls th
e 2DEG density. We use several independent features in the magnetoresi
stance to dele;mine the magnitude V of the periodic potential induced
in the 2DEG, and its dependence on the gate voltages; We obtain a syst
ematic quantitative picture of V, which is generally in good agreement
with theoretical expectations. However our density dependence cannot
be accounted for within the usual picture of static screening in a 2DE
G.