Comprehensive Analysis of Capacitance and Inductance Effect in the RLC Circuit Toward the Cut-off Frequency and Bandwidth

Abstract

Abstract Electronics filter design is essential for signal processing tasks in electronics, biomedical engineering, and control systems. Filter design in the frequency domain is based on the foundation laid by the theory of Fourier transform developed by Joseph Fourier in 1807, where the filter is intended to remove unwanted frequency components from the input signal. Lumped electronic filters are constructed by components of resistor (R), capacitor (C), and inductor (L). In this study, we comprehensively explored how different values of capacitors and inductors impact the cut-off or center frequency in the series LC or RLC circuit. Analytical solutions of the magnitude of the ratio between output and input voltage are provided and the results from simulations are used to compare with the derivations from the analytical solutions. The simulation result is within the range of +-0.65% of the theoretical value due to numerical precision from the simulation tool LT-Spice.