First_Order_Circuits_Example

E to isolate multiply through by

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( ( ) ( ) ( )( ) ) ( ) ) ) This yields: ( ) ) ( ( ( ) ) The first term is in the correct form, but the second term requires ( ) in the numerator: ( ( ( ) ) ( )( ) ( ) ( ( ( ) ) ( )( ) ) ( ) ) Taking the inverse Laplace Transform: () ( ) () ( )( ( ) ) () This can be further simplified as follows: () () [ ( [( ) ) () [( ( ( () Note that for )( ) ( ) ( [ ) ( ) )] ( ) ( )( ( ) ( ( ) ) )] ( ) )] ( ) () : () Also note that for (i.e., the instant of time just after the step is applied) the capacitor can be replaced by a short-circuit: ( )...
View Full Document

This document was uploaded on 03/06/2014 for the course ENG 5952 at Memorial University.

Ask a homework question - tutors are online