First Order Circuits

First Order Circuits - First Order Circuits, First Order...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 First Order Circuits, First Order Differential Equations EECS 215 Jamie Phillips A first order circuit will contain one energy storage element (capacitor or inductor), where the circuit response will be represented by a first order differential equation. A general configuration for such a circuit is given by the following schematic. Note that the voltage source v s may be time dependent. Also note that any linear circuit (combination of independent sources, dependent sources, and resistors) attached to a capacitor may be “converted” into the circuit below through determination of the Thevenin equivalent (a powerful technique!). Similar analysis may be done for a first order circuit with an inductor, current source, etc. C R v s (t) v + - 1. Set up differential equation From KCL, the differential equation for this circuit is RC t v RC v dt dv s ) ( = + The solution is f n v v v + = , where v n and v f are the natural (unforced, homogeneous) and forced (particular) solutions, respectively. 2. Natural solution
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/04/2008 for the course EECS 215 taught by Professor Phillips during the Winter '08 term at University of Michigan.

Page1 / 4

First Order Circuits - First Order Circuits, First Order...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online