In this work, a new Fully Differential Current Conveyor-FDCCII based voltage mode active-RC filter is designed. For this purpose, a new general synthesis method is proposed by using signal flow graphs. Using this method, a second order filter obtaining low-pass, band-pass and high-pass filter characteristics is designed. Passive element sensitivities of the designed filter are calculated and shown that it has low sensitivities. Simulations are performed to test the performance of the designed circuit by using SPICE program.