ECE3300: Introduction to Electric Circuits

Chapter 8: The Complete Response of RL and RC Circuits

slide 1Chapter 8 slide 2Preview slide 3Response of a First-Order RC Circuit slide 4General Solution of a First-Order Differential Equation with Constant Forcing Function slide 5General Solution of a First-Order Differential Equation with Constant Forcing Function: The Homogeneous Solution slide 6General Solution of a First-Order Differential Equation with Constant Forcing Function: The Particular Solution
slide 7General Solution of a First-Order Differential Equation with Constant Forcing Function: The Particular Solution slide 8General Solution of a First-Order Differential Equation with Constant Forcing Function: The Complete Response slide 9Complete Response for the Series RC Circuit slide 10Complete Response for the Series RC Circuit: Natural and Forced Response slide 11Time Constant of an RC Circuit 1 slide 12Time Constant of an RC Circuit 2

slide 13How Fast Does a Capacitor Charge? slide 14Complete Solution as Superposition of two Responses slide 15Example: RC Circuit Complete Response slide 16Example: RC Circuit Complete Response (cont.) slide 17Thevenin (or Norton) Analysis Simplifies First-Order Circuit Analysis slide 18First-Order Circuit Analysis: Example #1
slide 19First-Order Circuit Analysis: Example #1 (cont.) slide 20First-Order Circuit Analysis: Example #2 slide 21First-Order Circuit Analysis: Example #2 (cont.) slide 22First-Order Circuit Analysis: Example #3 slide 23First-Order Circuit Analysis: Example #3 (cont.) slide 24First-Order Circuit Analysis: Example #3 (cont.)
slide 25First-Order Circuit Analysis: Example #4 slide 26First-Order Circuit Analysis: Example #4 (cont) slide 27First-Order Circuit Analysis: Example #4 (cont.) slide 28General Expression for the Complete Solution of First-Order Circuits Under Exponential Input #1 slide 29General Expression for the Complete Solution of First-Order Circuits Under Exponential Input #2 slide 30Example: Complete Response of a Series RL Circuit to an Exponential Volatge Source
slide 31Example: Complete Response od a Seires RL Circuit to an Exponential Voltage Source (cont.) slide 32General Expression for the Complete Solution of First-Order Circuits Under Exponential Input #3 slide 33General Expression for the Complete Solution of First-Order Circuits Under Exponential Input #4 slide 34General Expression for the Complete Solution of First-Order Circuits Under Sinusoidal Input #1 slide 35General Expression for the Complete Solution of First-Order Circuits Under Sinusoidal Input #2 slide 36General Expression for the Complete Solution of First-Order Circuits Under Exponential Input #3
slide 37Summing Up: General Solution to First-Order Differential Equations slide 38Response of First-Order Circuits to Sinusoidal Input slide 39Response of First-Order Circuits to Sinusoidal Input (cont) slide 40Response of First-Order Circuits to Sinusoidal Input: Plotting solution using Mathcad slide 41Verification Using Matlab's Symbolic Toolbox Solution slide 42Verification Using Matlab's Symbolic Toolbox Solution (cont.)
slide 43Final Example: Workbench Simulation slide 44Final Example: Workbench Simulation (cont.) slide 45Final Example: Workbench Simulation (cont.)


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