Faraday's Law, Waveforms & AC Circuits in Mechanical Engineering

This document presents a comprehensive solution to mechanical and electrical engineering assignments. It begins with an explanation of Faraday's Law of electromagnetic induction, detailing its principle of operation with diagrams and listing practical applications such as graphics tablets, wireless power transfer, transformers, electric generators, and induction motors, further comparing three of these applications based on cost, voltage, power, and efficiency. The document then explores complex waveforms, explaining Joseph Fourier's theory and the Fourier general series, including visual determination of even, odd, or neither functions. It analyzes a series AC circuit, calculating inductive reactance, capacitive reactance, impedance, current, voltage, and phase angle at resonant frequency and 1kHz above it. Finally, it examines an AC series/parallel circuit, measuring voltage, current, power, and power factor of a single-phase motor, calculating the impedance, resistance, and inductance of the motor winding, and determining the capacitor value needed for power factor correction. The document concludes with mathematical concepts related to tension in a string.