We analyze the behavior of the magnetocapacitance for a three-probe capacit
or. The self-consistent evaluation of the internal potential is found to pl
ay a large role in determining quantitative values of the capacitance. For
capacitor plates of mesoscopic size, this potential reduces the charge accu
mulation by more than an order of magnitude compared to that obtained with
noninteracting models. However, the qualitative behavior of the magnetocapa
citance is not substantially altered by the self-consistency. A simple but
physically motivated model gives an analytical formula which compares well
with the numerical data. [S0163-1829(98)05347-8].