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README.md

⚡ RC Circuit Transient Response Simulator

A MATLAB-based engineering simulation project that models capacitor charging and discharging behavior in a first-order RC circuit.

The project demonstrates transient response analysis, time constant calculations, MATLAB visualization, and App Designer development.

Project Overview

Electrical circuits containing resistors and capacitors exhibit transient behavior when voltage changes occur.

This project simulates:

  • Capacitor charging response
  • Capacitor discharge response
  • RC time constant calculation
  • Voltage behavior over time
  • Data export for analysis

The simulation is implemented using MATLAB and MATLAB App Designer.

Engineering Model

The capacitor charging equation:

[ V(t)=V_0(1-e^{-t/RC}) ]

The capacitor discharge equation:

[ V(t)=V_0e^{-t/RC} ]

The circuit time constant is:

[ \tau = RC ]

At one time constant:

[ t=\tau ]

the capacitor reaches approximately:

[ 63.2% ]

of the final charging voltage.

Features

🔋 RC Circuit Simulation

  • Configurable resistance
  • Configurable capacitance
  • Adjustable input voltage
  • Charging and discharging modeling

📈 Data Visualization

The MATLAB simulation generates:

  • Voltage vs Time plots
  • Charging curve
  • Discharging curve
  • Time constant marker

🖥 MATLAB App Designer Interface

The interactive application provides:

  • User input controls
  • Simulation execution
  • Graphical output display

Project Files

RC-Circuit-Transient-Response

├── RC_Circuit_Project.m ├── RC_Circuit_Project.mlapp │ ├── docs │ ├── index.html │ ├── style.css │ └── script.js │ ├── functions └── plots

Technologies Used

Technology Purpose
MATLAB Simulation development
MATLAB App Designer Interactive interface
Data Visualization Engineering analysis
Git/GitHub Version control
GitHub Pages Project deployment

Results

Example simulation output:

RC Circuit Response

Engineering Skills Demonstrated

  • Circuit analysis
  • Differential equation modeling
  • Transient system analysis
  • MATLAB programming
  • Data visualization
  • Engineering documentation

Future Improvements

  • Add interactive parameter controls
  • Add frequency response analysis
  • Add Simulink model
  • Export automated engineering reports
  • Add real hardware validation

Author

Jeremiah Lupton

Engineering Technology Portfolio Project

GitHub: https://github.com/jd-dev-king