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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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Complex Numbers

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Menu (linked Index) Complex Numbers Last Update: November 29, 2024 Introduction Multiplying by -1 The Imaginary Unit i Multiplying by i  Complex Numbers and Complex Plane Multiplying by i in the Complex Plane Polar / Trigonometric Form of a Complex Number Polar / Exponential Form of a Complex Number Euler’s Formula is All about Rotation

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Complex Number z = a + bi icon

Complex Number Math

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Menu (linked Index) Complex Number Math Last Update: December 5, 2024 Introduction Complex Number Addition Complex Number Subtraction Complex Number Multiplication Introduction In this post,  we’ll see how addition, subtraction , and multiplication of Complex Numbers can be shown geometrically in the Complex Plane. This will help visualize what is going on with these math

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