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The source-free series RLC circuit - clearly explained

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The source-free series RLC circuit - clearly explained

Wye ➡ Delta Transformation

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Wye ➡ Delta Transformation

Continuous-time Fourier transform of the rectangular function — clearly explained

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Continuous-time Fourier transform of the rectangular function — clearly explained

Wye ➡ Delta Transformation

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Fourier Transform of the Unit-Impulse Function - δ(t)

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Delta ➡ Wye Transformation

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Time Domain RC Analysis - Solve for V_c(t)

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NOR Logic Gate - Solve for Output Y

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RL High-Pass Filter - Solve for H(ω)

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The source-free series RLC circuit - clearly explained This video breaks down the source-free series RLC circuit and explains its behavior both conceptually and mathematically. The circuit operation is first explained pictorially to build intuition on how energy transfers between the resistor, inductor, and capacitor when no external source is present. Next, KVL is applied to derive the governing second-order differential equation for the loop current. The natural response solution is then developed step by step, showing how the RLC circuit can exhibit oscillatory or exponential behavior depending on damping conditions. Finally, the video solves for the inductor voltage and the capacitor voltage, completing the full time-domain response of the circuit. Perfect for students studying RLC transients, second-order circuits, natural response, and time-domain circuit analysis. Check out my other videos: https://www.youtube.com/watch?v=W0Lw7qfC0DU Check out my full playlist on Circuits I & II: https://www.youtube.com/watch?v=FsUBmLerrZI&list=PLBbMkHgmCUDNJwviGeZ-gWBD1nNJYr8Ck Check out the webpage: https://professorgovalla.com/ Follow me on: YouTube: https://www.youtube.com/@ProfessorGovalla Instagram: www.instagram.com/professorgovalla TikTok: www.tiktok.com/@professorgovalla #ElectricalEngineering #ComputerEngineering #CircuitDesign #AnalogElectronics #DigitalSystems #ElectronicsEngineering #Verilog #FPGAb#VHDL #SystemVerilog #SignalsAndSystems #DSP #ControlSystems #MachineLearning #EmbeddedSystems #TinyML #ArtificialIntelligencen #EngineeringStudent #STEM #ProfessorGovalla

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Wye ➡ Delta Transformation Check out the webpage: https://professorgovalla.com/ Follow me on: YouTube: https://www.youtube.com/@ProfessorGovalla Instagram: www.instagram.com/professorgovalla TikTok: www.tiktok.com/@professorgovalla #ElectricalEngineering #ComputerEngineering #CircuitDesign #AnalogElectronics #DigitalSystems

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Continuous-time Fourier transform of the rectangular function — clearly explained This video derives the Continuous-Time Fourier Transform (CTFT) of the rectangular function step by step, providing a clear example commonly used in Signals and Systems. Using the CTFT definition, the Fourier transform is computed directly to show how a time-domain rectangular pulse maps into the frequency domain. The final result highlights the important connection between the rectangular function and the sinc function, a key concept in signal processing and communication systems. This example is ideal for building intuition about bandwidth, spectral shape, and time-frequency duality. Perfect for students studying CTFT, rectangular pulses, sinc functions, Fourier analysis, and frequency-domain representations. Check out my other videos: https://www.youtube.com/watch?v=M5PjqHTpPFc Check out my full playlist on Signals and Systems: https://www.youtube.com/playlist?list=PLBbMkHgmCUDObVFM8S10v32rKSa5woqXk Check out the webpage: https://professorgovalla.com/ Follow me on: YouTube: https://www.youtube.com/@ProfessorGovalla Instagram: www.instagram.com/professorgovalla TikTok: www.tiktok.com/@professorgovalla #ElectricalEngineering #ComputerEngineering #CircuitDesign #AnalogElectronics #DigitalSystems #ElectronicsEngineering #Verilog #FPGAb#VHDL #SystemVerilog #SignalsAndSystems #DSP #ControlSystems #MachineLearning #EmbeddedSystems #TinyML #ArtificialIntelligencen #EngineeringStudent #STEM #ProfessorGovalla

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Fourier Transform of the Unit-Impulse Function - δ(t) Check out the webpage: https://professorgovalla.com/ Follow me on: YouTube: https://www.youtube.com/@ProfessorGovalla Instagram: www.instagram.com/professorgovalla TikTok: www.tiktok.com/@professorgovalla #ElectricalEngineering #ComputerEngineering #CircuitDesign #AnalogElectronics #DigitalSystems

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