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Related Concept Videos

RLC Series Circuit: Problem-Solving01:30

RLC Series Circuit: Problem-Solving

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Consider an AC generator with a frequency of 50 hertz and a voltage of 120 volts. The AC generator is connected to an RLC series circuit with a 20-ohms resistor, a 0.2-henry inductor, and a 0.05-farad capacitor. Determine the impedance, current amplitude, and phase difference between the generator's current and emf.
To solve the problem, first, determine the known and unknown quantities in the problem. Recalling the reactance equation for the inductor and capacitor and substituting the...
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LC Circuits01:21

LC Circuits

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An LC circuit consists of an inductor and a capacitor, either in series or parallel. Consider a charged capacitor connected with an inductor in series. Before the switch is closed, all the energy of the circuit is stored in the electric field of the capacitor. When the switch is closed, the capacitor begins to discharge, producing a current in the circuit. The current, in turn, creates a magnetic field in the inductor. Because of the induced emf in the inductor, the current cannot change...
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Comparison between RL and RC circuits01:24

Comparison between RL and RC circuits

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An RC circuit consists of resistance and capacitance, while in an RL circuit, capacitance is replaced by an inductor. RL and RC circuits are first-order differential circuits that store energy. An RC circuit stores energy in the electric field, while an RL circuit stores energy in the magnetic field. When connected to a battery, an RC circuit charges the capacitor, causing the current to decrease from maximum to zero upon being fully charged. This increases the voltage across the capacitor from...
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Linear Circuits01:17

Linear Circuits

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A linear circuit is characterized by its output having a direct proportionality to its input, adhering to the linearity property, which encompasses the principles of homogeneity (scaling) and additivity. Homogeneity dictates that when the input, also referred to as the excitation, is multiplied by a constant factor, the output, known as the response, is correspondingly scaled by the same constant factor. For instance, if the current is multiplied by a constant 'k,' the voltage likewise...
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RLC Series Circuits: Introduction01:25

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Consider an RLC series circuit consisting of a resistor, an inductor, and a capacitor connected to an AC voltage source. A current, which varies sinusoidally over time, flows through the circuit, and this can be expressed by the following equation:  
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Parallel RLC Circuits01:14

Parallel RLC Circuits

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Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
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Updated: Sep 25, 2025

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Lcapy: symbolic linear circuit analysis with Python.

Michael Hayes1

  • 1Electrical and Computer Engineering, University of Canterbury, Christchchurch, New Zealand.

Peerj. Computer Science
|May 2, 2022
PubMed
Summary
This summary is machine-generated.

Lcapy is an open-source Python package for symbolic linear circuit analysis. It supports DC, AC, transient, and noise analysis, offering versatile circuit modeling and high-quality output for various applications.

Keywords:
Linear circuit analysisPythonSymbolic computation

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Area of Science:

  • Electrical Engineering
  • Computational Science

Background:

  • Symbolic analysis of linear circuits is crucial for understanding circuit behavior.
  • Existing tools may lack comprehensive analysis capabilities or user-friendly features.

Purpose of the Study:

  • Introduce Lcapy, an open-source Python package for symbolic linear circuit analysis.
  • Highlight Lcapy's features, capabilities, implementation, and performance.

Main Methods:

  • Utilizes superposition of DC, AC (phasor), transient (Laplace), and noise analysis.
  • Employs the SymPy computer algebra system for expression evaluation.
  • Supports circuit modeling via one-port/two-port networks or Spice-like netlists.
  • Offers nodal analysis, modified nodal analysis, loop analysis, and state-space analysis.

Main Results:

  • Provides symbolic solutions for linear circuits.
  • Includes dimensional analysis for error reduction and unit presentation.
  • Generates high-quality schematics and LaTeX-formatted expressions.
  • Supports both continuous and discrete signals.

Conclusions:

  • Lcapy offers a powerful and versatile platform for symbolic linear circuit analysis.
  • The package facilitates detailed circuit analysis, visualization, and error checking.
  • Lcapy is suitable for educational and research purposes in electrical engineering and computational science.