Science

Faraday’s 1831 Electromagnetic Experiments

Menu (linked Index) Faraday’s 1831 Electromagnetic Experiments Last Update: September 14, 2025 Introduction Iron Ring Experiment (1831) V-Magnet Experiment (1831) Magnet and Coil Experiment (1831) Introduction We know today that a changing magnetic field can induce an electric current.  Michael Faraday, in a series of experiments in 1831, discovered this phenomenon of Electromagnetic Induction.   Electromagnetic […]

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Lorentz Force Law

Menu (linked Index) Lorentz Force Law Last Update: September 1, 2025 Introduction Vector Cross Product Rules and Conventions Force on a Charge in an Electric Field Force on a Moving Charge in a Magnetic Field Lorentz Force Law Introduction The Lorentz force is the total force exerted on a charged particle that’s moving through a

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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 Velocity and Acceleration As Derivatives 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

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