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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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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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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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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Menu (linked Index) Sum and Difference Angle Formula Proofs Last Update: October 7,2025 Introduction Right Triangle Trig Functions Two Right Triangles Define the Sides Sin and Cos Angle Sum Formulas Sin and Cos Angle Difference Formulas Tan Angle Formulas Summary of Sin, Cos, Tan Angle Formulas Introduction In this post, I derive the sine, cosine,
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Menu (linked Index) Faraday’s Law and Lenz’s Law Last Update: Sept 26, 2025 Introduction Magnetic Flux Faraday’s Law (The Flux Rule) Coil in a Magnetic Field Lenz’s Law EMF for a Closed Conducting Loop Motional EMF: Moving Coil and Stationary Magnetic Field Motional EMF: Expandable Coil in Constant Magnetic Field Transformer EMF: Stationary Coil in
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Menu (linked Index) Ampère – Maxwell Equation Last Update: September 23, 2025 Introduction Set Up: Closed Circuit with Capacitor Ampere’s Law Applied to a Flat Surface Ampere’s Law Applied to Cylindrical Surface Ampere-Maxwell Law Appendix 1: Maxwell’s Derivation of Ampere Maxwell Law Introduction The Ampère – Maxwell equation, ∮B̄•dL̄ = μ0Ienc + (μ0)(ε0)dΦE/dt , is one
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Menu (linked Index) Capacitance Last Update: September 21,2025 Introduction Capacitance Equation Derivation Introduction Capacitors are fundamental electronic components that store electrical energy. In a simple parallel-plate capacitor, this energy is stored in an electric field between two conducting plates. This blog post will explore the core principles behind capacitors, showing how the charge (Q) stored
Menu (linked Index) Electric Field of a Charged Infinite Plane Last Update: September 20, 2025 Introduction Computation Set Up Equation Development Integration Appendix 1: Symmetry in a Uniformly Charged Plane Appendix 2: Coulomb’s Law Introduction The magnitude of the electric field E of a uniformly charged infinite plate (plane) is Total E = 2(k)(π)(σ) = (σ)/(2εo) =
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Menu (linked Index) Current and Magnetic Field Right Hand Rule Examples Last Update: September 17,2025 Introduction Right Hand Rule Shape of a Magnet’s Field Straight Vertical Wire Coil of Wire Simple Electric Circuit Multiple Coiled Circuit Introduction An electric current produces a magnetic field around it. Picture: Current Flowing in a Wire Produces a Magnetic
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