Science

The Best On-Line Teachers

The Best On-Line Teachers Last Update: August 31,2025 As I write my mostly STEM-related blog posts, I utilize a lot of great online information. Below is a curated, alphabetical, evergreen list of the best teachers I’ve watched and read. Ali Alqaraghuli Ali the Dazzling https://www.youtube.com/@alithedazzling Matt Anderson Physics with Professor Matt Anderson High school through […]

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Gauss’s Law of Electricity (of the Electric Field)

Menu (linked Index) Gauss’s Law of Electricity (of the Electric Field) Last Update: August 22, 2025 Introduction Water Flow Analogy for Electric Flux General Form of Uniform Electric Flux through A Flat Surface Flux of a Non-Uniform Electric Field through an Irregular Surface Area Vectors Electric Flux Definition Using the Area Vector Gauss’s Law of

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From Maxwell’s Equations to The Wave Equation

Menu (linked Index) From Maxwell’s Equations to The Wave Equation Last Update: August 20, 2025 Introduction Gradient , Diversion, and Curl Maxwell’s Equations  The Wave Equation Deriving the B and W Wave Equations Appendix 1 Appendix 2 Appendix 3 Introduction James Clerk Maxwell (1831–1879) was a Scottish physicist known for his groundbreaking work in electromagnetism.

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Field Operators: Grad, Div, and Curl

Menu (linked Index) Field Operators: Grad, Div, and Curl Last Update: August 18, 2025 Introduction Definitions Graphing a Vector Field Differentiation Basics The Gradient Operator Divergence Operator The Laplacian Direction of Axis of Rotation The Curl Operator Excellent Educational Video References Appendix 1: Uses of the Derivative Introduction This post is about three fundamental operators

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Vector Math

Menu (linked Index) Vector Math Last Update: August 12, 2025 Introduction Vectors and Scalars The Unit Vector Specifying/Defining a Vector Vector Addition Vector Subtraction Vector Multiplication by a Scalar Length (Magnitude) of a Vector Vector Dot Product Vector Cross Product Introduction Vectors are mathematical constructs that indicate magnitude and time.  They are very useful in

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The Derivative

Menu (linked Index) The Derivative Last Update: October 18, 2025  Introduction The Derivative Derivative Rules Derivatives of Some Useful Functions Ordinary Derivative Partial Derivative Introduction This article is a high level introduction to the mathematical tool called differentiation.  At its core, differentiation is the process of finding the instantaneous rate of change of a function

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Unit of Measure Conversion Factors

Menu (linked Index) Unit of Measure Conversion Factors Last Update: July 13, 2025  Introduction Exponentials, Scientific Notation, and SI Prefixes Volume Equivalents (Conversion Factors)  Mass Equivalents (Conversion Factors)  Length Equivalents (Conversion Factors)  Pressure Equivalents I.(Conversion Factors)  Pressure Equivalents II.  (Conversion Factors)  Energy Equivalents I. (Conversion Factors) Energy Equivalents II. (Conversion Factors) Power Equivalents I. (Conversion

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Work and Energy

Menu (linked Index) Work and Energy Last Update: July 10, 2025  Introduction Work Kinematic Equations Kinetic Energy Gravitational Potential Energy Law of Conservation of Energy Spring Forces (Hooke’s Law) Conservative Forces Mechanical Energy Equations Introduction In this post we’ll review some fundamental principles that govern motion and energy in our universe. The exploration begins with

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