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Modeling Scenario

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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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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