Abstract
In the design of alternating current circuits, complex numbers are commonly used to describe the values of the circuit elements because amplitude and phase can be easily determined. Root mean squares (rms.) have traditionally been used when designing AC circuits. By using complex numbers in parameter design, the variability of both amplitude and phase of the output can be reduced. Therefore, a system whose input and output are expressed by sine waves, should use complex numbers to conduct parameter designs. By doing so, we would expect the system become more stable than when using r. m. s. In this paper, the parameter design for a first-order low pass filter was reported to show the efficiency of using complex numbers. As a result of the experiment, of the stability of the filter was improved with a gain of as high as 3.79 dB.
