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ECE 3336 Introduction to Circuits & Electronics

ECE 3336 Introduction to Circuits & Electronics. Lecture Set #8 Method for Linear Circuit: Phasor Part 1: Background. Dr. Han Le ECE Dept. Note: The main lecture is in the Mathematica file – this is only for basic discussion. Phasors : AC Circuits – Background Concepts. Outline.

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ECE 3336 Introduction to Circuits & Electronics

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  1. ECE 3336 Introduction to Circuits & Electronics Lecture Set #8 Method for Linear Circuit: Phasor Part 1: Background Dr. Han Le ECE Dept.

  2. Note: The main lecture is in the Mathematica file – this is only for basic discussion Phasors: AC Circuits – Background Concepts

  3. Outline • Time-varying circuits and signals • Introduction to mathematical techniques: • Harmonic functions • Complex analysis • Fourier analysis and transform • Phasors • Applications of mathematical techniques to physical problems and circuits

  4. It is more natural to have time-varying signals & circuits than time-constant circuits

  5. An example of signal

  6. Mathematical tools and techniques • Certain mathematical tools and techniques are highly useful for certain types of problems • For NVM and MCM, linear algebra (the math principle) and matrix (the tool) is highly useful • For time-varying signals and AC circuits, it will be Fourier transform (the math principle) and phasor (the tool) • Again, it is important to use the tool rather than get lost or tangled with the tool

  7. So, phasor is worth learning because it makes things so easy

  8. Outline • Time-varying circuits and signals • Introduction to mathematical techniques: • Harmonic functions • Complex analysis • Fourier analysis and transform • Phasors • Applications of mathematical techniques to physical problems and circuits

  9. Harmonic function Fourier transform Phasors Complex numbers &analysis

  10. Link to Mathematica file

  11. Outline • Time-varying circuits and signals • Introduction to mathematical techniques: • Harmonic functions • Complex analysis • Phasors • Fourier analysis and transform • Applications of mathematical techniques to physical problems and circuits

  12. Applications of mathematical techniques Harmonic function Fourier transform • Signal and AC circuit problems • RLC or any time-varying linear circuits. Applicable to linear portion of circuits that include nonlinear elements • Signal processing • signal analysis (spectral decomposition) • filtering, conditioning (inc amplification) • synthesizing Phasors Complex number &analysis

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