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3-075-RLCCircuits-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: resistance circuit voltage inductance capacitance current Kirchhoff's Law

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Abstract

Resource Image We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Differential equations prove exceptional at modeling electrical circuit. In fact the very simple circuit, which is fundamental to larger circuit building, and three of the most fundamental electrical object, a resistor, a capacitor, and inductor, can be modeled by just what we are doing at present, namely a constant coefficient, linear, second order differential equation.

We build a differential equation using Kirchhoff's Law and solve and interpret our solutions.

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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