Fourier Series in SymPy & LTspice + Op-Amp Gain Bandwidth Product
How do you turn pure math into real-world hardware behavior? In this video, we bridge the gap between symbolic mathematics, circuit simulation, and real analog design. First, we use Python's SymPy library to calculate the Fourier Series of a periodic signal. Next, we reconstruct that signal in LTspice to see how a real circuit reacts to individual harmonics. Finally, we analyze how an op-amp’s Gain-Bandwidth Product (GBP) acts as a low-pass filter, limiting which of those Fourier harmonics can actually pass through your amplifier! What You Will Learn Python Symbolic Math: How to calculate Fourier coefficients ( using sympy.fourier.series LTspice Simulation: How to reconstruct a square or triangle wave from its harmonic components using multiple voltage sources (SINE components). Op-Amp Limitations: Understanding the Gain-Bandwidth Product (GBP) and how it dampens high-frequency Fourier harmonics. AC Sweep vs. Transient Analysis: Visually comparing theoretical calculations with actual circuit simulations. Code & Circuit Files GitHub Repository (SymPy Script & LTspice .asc files): https://github.com/ODARI-CHARLES1/Oda... Resources & Software Mentioned SymPy Documentation: https://www.sympy.org/ LTspice (Free Schematic Capture & Simulation): https://www.analog.com/en/resources/d... Recommended Op-Amp Datasheets (LT1001 / UA741 / TL072): If this video helped you understand Fourier series or op-amps a bit better, please leave a Like and comment below with what topics you want to see next! #FourierSeries #SymPy #LTspice #OpAmp #ElectricalEngineering #PythonScience #CircuitSimulation #AnalogDesign
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