Sinusoid Archives

Sine and Cosine – Definitions and Properites

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Menu (linked Index) Sine and Cosine – Definitions and Properties Last Update: December 23, 2025 Introduction History Etymology Unit Circle Trigonometry Sine and Cosine Wave From the Unit Circle Sinusoid Waveform General Characteristics Circular Motion Parameters Phase Angle Expression Using Rotational Kinematics General Equations for Instantaneous AC Voltage and Current Voltage and Current Waveform Characteristics […]

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Alternating Current (AC) Generation

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Menu (linked Index) Alternating Current AC Generation Last Update: December 18,2025 Introduction Power Generation in the Grid Faraday’s Law and Magnetic Flux Rotating Coil in a Fixed Magnetic Field Voltage Equation Derivation Voltage and Flux in a Rotating Coil in a Fixed Magnetic Field Modern Power Plants: Flipping the Model Single Phase AC Generator Concept

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Circuit Analysis Math Basics: Trig, Complex Numbers, and Euler’s Equation

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Menu (linked Index) Circuit Analysis Math Basics: Trig, Complex Numbers, and Euler’s Equation Last Update: November 19, 2025 Introduction Right Triangle Trigonometry Unit Circle Complex Numbers Powers of the Imaginary Unit j Multiplier Rotates Z Cosine and Sine Expressions Using Euler’s Equation ejθ spins ejwt spins Introduction This article explores the basic math that underpins

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RMS (Root Mean Square) of a Sinusoid

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Menu (linked Index) RMS (Root Mean Square) of a Sinusoid Last Update: October 9, 2025 Introduction Approximate RMS of a Sinusoidal Curve RMS Equation: Continuous Form RMS for Current Derived from the Continuous RMS Equation Introduction In this post I’m going to show two ways to compute the Root Mean Square (RMS) of a set

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