In this paper we have designed a grounded memcapacitor emulator which is a part of memristive system providing a nonlinear relationship between Charge and Voltage. The Floating Current Source (FCS) possesses a low power consumption feature, has been utilized for the memcapacitor emulation. In this study, a memcapacitor emulator is designed utilizing discrete circuit elements. The proposed emulator circuit exhibits a simple design consisting of MOSFETs and capacitors. The emulator performance is verified theoretically, and computer simulations and results are discussed here.