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Chapter 5 Transient Analysis - CAU

Chapter 5. Transient Analysis Jaesung Jang Complete response = Transient response + Steady-state response Time Constant First order and Second order Differential Equation . 1. Transient Analysis The difference of Analysis of circuits with energy storage elements (inductors or capacitors) & time-varying signals with resistive circuits is that the equations resulting from KVL and KCL are now differential equations rather than algebraic linear equations resulting from the resistive circuits. Transient region: the region where the signals are highly dependent on time. (temporary). No voltage or current sources Transient Analysis 1. 0. 9. Steady-state region: the region where the 0. 8. signals are not time dependent (time rate of 0. 7. 0. 6. change of signals is equal to zero) or V/Vs 0. 5. periodic. d( ). 0. 4. =0 0. 3. Constant signals dt 0. 2. 0. 1. Sinusoidal signals 0. 0 1 2 3 4 5.

the circuit to Thevenin or Norton equivalent form. – Identify the initial conditions x( t=0 +) [= x( t=0-)] and final conditions x( t=∞). – Solve the differential equation. – Write the complete solution for the circuit in the form. • The time constant ( τ) is a measure of how fast capacitor voltages or

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