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DC Circuits: First-Order Circuits

EENG223: CIRCUIT THEORY I DC Circuits : First-Order Circuits Hasan Demirel EENG223: CIRCUIT THEORY I Introduction The Source-Free RC Circuit The Source-Free RL Circuit Step Response of an RC Circuit Step Response of an RL Circuit First-Order Circuits EENG223: CIRCUIT THEORY I A First-Order circuit can only contain one energy storage element (a capacitor or an inductor). The circuit will also contain resistance. So there are two types of First-Order Circuits : RC circuit RL circuit A First-Order circuit is characterized by a First-Order differential equation. First-Order Circuits : Introduction EENG223: CIRCUIT THEORY I A source-free circuit is one where all independent sources have been disconnected from the circuit after some switch action. The voltages and currents in the circuit typically will have some transient response due to initial conditions (initial capacitor voltages and initial inductor currents). We will begin by analyzing source-free Circuits as they are the simplest type.

the DE is: RC ( ) 0 0 1 v t for t t dt RC dv 2) τ is related to the rate of exponential decay in a circuit as shown below. 3) It is typically easier to sketch a response in terms of multiples of τ than to be concerning with scaling of the graph.

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