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Transient Circuit Fundamentals

  • Sergey N. Makarov
  • Reinhold Ludwig
  • Stephen J. Bitar
Chapter

Abstract

Knowledge of first-order ordinary differential equations (calculus)

Keywords:

Transient RC circuit Transient RL circuit Energy-release RC/RL circuit Energy-accumulating RC/RL circuit Time constant of RC circuit Time constant of RL circuit Relaxation time Voltage continuity across the capacitor Fluid mechanics analogy of transient RC circuit Lorentz force Self-induced Lorentz force Railgun Electromagnetic material processing Electromagnetic forming Current continuity through the inductor Fluid mechanics analogy of transient RL circuit Forced response Electronic ignition system Piezoelectric effect Clock frequency Clock signal Positive feedback Linear oscillators Switching oscillators Switching RC oscillator Astable multivibrator Relaxation oscillator Bistable amplifier circuit (operation threshold voltage mechanical analogy triggering trigger signal) Digital memory element Inverting Schmitt trigger Non-inverting Schmitt trigger 555 timer IC Single-time-constant circuits (definition classification of examples of with general sources) STC circuits Non-STC circuits (definition examples of) Series RLC circuit (generic representation qualitative description mechanical analogy step response duality) Parallel RLC circuit (generic representation qualitative description mechanical analogy step response duality) Second-order ODE (homogeneous nonhomogeneous initial conditions in terms of current in terms of voltage forcing function general solution forced response particular solution complementary solution natural response step response) Damping coefficient Neper Time constant of the decay envelope Undamped resonant frequency Step response Impulse response Damping ratio Natural frequency Overdamped circuit Critically damped circuit Underdamped circuit Overshoot Undershoot Rise time Fall time Ringing Nonideal digital waveform 

Supplementary material

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sergey N. Makarov
    • 1
  • Reinhold Ludwig
    • 2
  • Stephen J. Bitar
    • 3
  1. 1.ECE DepartmentWorcester Polytechnic InstituteWorcesterUSA
  2. 2.ECE DepartmentWorcester Polytechnic InstituteWorcesterUSA
  3. 3.Worcester Polytechnic InstituteWorcesterUSA

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