First and Second Order Circuits and Equations: Technical Background and Insights

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First and second order electric and electronic circuits contain energy storage elements, capacitors and inductors, fundamental to both time and frequency domain circuit response behavior, including exponential decay, overshoot, ringing, and frequency domain resonance.

First and Second Order Circuits and Equations provides an insightful and detailed learning and reference resource for circuit theory and its many perspectives and duals, such as voltage and current, inductance and capacitance, and serial and parallel. Organized and presented to make each information topic immediately accessible, First and Second Order Circuits and Equations offers readers the opportunity to learn circuit theory faster and with greater understanding.

First and Second Order Circuits and Equations readers will also find:

• Root locus charts of second order characteristic equation roots both in terms of damping factor ζ as well as damping constant α.
• Detailed treatment of quality factor Q and its relationship to bandwidth and damping in both frequency and time domains.
• Inductor and capacitor branch relationship step response insights in terms of calculus intuition.
• Derivations of voltage divider and current divider formulae in terms of Kirchhoff’s laws.

First and Second Order Circuits and Equations is an essential tool for electronic industry professionals learning circuits on the job, as well as for electrical engineering, mechanical engineering, and physics students learning circuits and their related differential equations.

Robert O’Rourke is an electronic engineer and independent Technical Learning Architect, with experience creating and teaching electronic circuits and electromagnetics simulation for high speed digital signal integrity, power circuits, multiphysics differential equations, and antenna applications.