Science

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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Power Plants (Electricity Producing Facilities)

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Menu (linked Index) Power Plants (Electricity Producing Facilities) Last Update: December 12, 2025 Introduction The Electricity (Power) Grid Power Plant Types Energy Sources for Electricity Generation Power Plant Equipment and Configurations Appendix 1 – High Voltage Transmission Efficiency and Economics Introduction This blog offers a comprehensive journey through the world of power generation and the

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Solar Power Explained: Equipment, Physics, and Manufacture

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Menu (linked Index) Solar Power Explained: Equipment, Physics, and Manufacture Last Update: December 10, 2025 Introduction Solar Power Generation Solar Equipment Photovoltaic Effect Solar Cell Manufacture Introduction Solar cells convert light directly into electricity through the photovoltaic effect. This blog post will describe this critical technology, beginning with the basic structure and appearance of the

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Energy Types and Conversion Efficiencies

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Menu (linked Index) Energy Types and Conversion Efficiencies Last Update: December 3, 2025      Introduction The 2 Fundamental Energy States (KE and PE) Types and Forms of Energy  Energy Sources And Conversion Routes to Electricity Generation Energy Conversion Efficiencies for Various Technologies Appendix 1 – Energy Type and PE and/or KE Categorization Appendix 2

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AC Voltage and Current Equations

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Menu (linked Index) AC Voltage and Current Equations Last Update: November 29, 2025 Introduction Faraday’s Law and Magnetic Flux Derivation Model: Rotating Coil in a Magnetic Field Voltage Equation Derivation Current Equation Derivation Summary Introduction A three-phase power generator creates electricity by rotating a powerful magnet (the rotor) inside a stationary frame containing three separate

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AC Circuit Basics: i-v Relationships, Impedance, and Admittance

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Menu (linked Index) AC Circuit Basics: i-v Relationships, Impedance, and Admittance Last Update: 11/11/2025 Introduction Pure Resistor AC Circuit Pure Inductor AC Circuit Pure Capacitor AC Circuit Pure Inductor and Capacitor Impedance – Frequency Domain Analysis Summary: Pure Element AC Circuits Phasor Basics Series R.L.C. AC Circuits Parallel R.L.C. AC Circuits Appendix 1: Real Power

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Fourier Series and Transforms

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Menu (linked Index) Fourier Series and Transforms Last Update: November 22, 2025  Introduction Fourier Series Trigonometric form Fourier Series First Term Fourier Series Coefficient for Cosine Terms Fourier Series Coefficient for Sine Terms Fourier Series – Complex Exponential Form Fourier Transform  Difference between Fourier Series and Transform Appendix 1 – Integrals of sin(mt)dt and cos(mt)dt

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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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Rotational Motion Variables

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Menu (linked Index) Rotational Motion Variables Last Update: October 28, 2025  Introduction Angle Displacement and Radian Definition Angular Velocity ω Angular Acceleration α Rotational Motion Vectors Kinematic Equations (Linear, Rotational) Polar vs Axial Vectors Introduction This post addresses rotational (circular) motion and the key variables describing it.   We are probably familiar with linear movement described

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