Electrical Engineering Assignment: Fourier Series, Circuits Analysis

This Electrical Engineering assignment solution addresses several key concepts in electrical engineering. The first section analyzes the symmetry and harmonics present in various waveforms, including the identification of odd, even, or both types of harmonics and phase shifts. The solution then proceeds to calculate Fourier series for given functions up to the 11th and 9th harmonics, respectively, commenting on the characteristics of the Fourier series coefficients and plotting the function using the tabular method. The assignment also covers circuit analysis, including obtaining s-plane and Laplace representations, time-domain equations, and analyzing circuit behavior for both series and parallel circuits with step input sources. Specifically, it provides solutions for circuits containing resistors, inductors, and capacitors, along with an evaluation of the damping state and suggestions for modification.