Methods and apparatus are described for MOS capacitors (MOS CAPs). The apparatus comprises a substrate having Ohmically coupled N and P semiconductor regions covered by a dielectric. A conductive electrode overlies the dielectric above these N and P regions. Use of the Ohmically coupled N and P regions substantially reduces the variation of capacitance with applied voltage associated with ordinary MOS CAPs. When these N and P regions have unequal doping, the capacitance variation may still be substantially compensated by adjusting the properties of the dielectric above the N and P regions and/or relative areas of the N and P regions or both. Accordingly, such MOS CAPS may be more easily integrated with other semiconductor devices with minimal or no disturbance to the established integrated circuit (IC) manufacturing process and without significantly increasing the occupied area beyond that required for a conventional MOS CAP.