This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Assignment #15 – p.1 ECSE2410 Signals & Systems  Fall 2006 Fri 11/03/06 1(20). Consider the RLC circuit below. + + The differential equation governing the input and output relationship is given by 2 2 d y dy LC RC y x dt dt + + = a(5). Write down the characteristic equation (poles) b(5) Evaluate the exact H(j ω ) at ω = ω n = 10rad/sec. Express answer in terms of some or all of R, L , C. c(10) Suppose that R= 1000ohms. Given the following Bode magnitude plot, find the values of L , and C. Note that the value of H(j ω ) is exactly 3dB at ω =10 rad/sec. 2(20). Using the properties and transform Tables (no integrations of the definition), find , the Laplace transform for the following signals: ) ( s X a(5). = 2[ u ( t )  u ( t  4)] b(5) = cos(4 ) ( t x a ) ( t x b π t )[ u ( t + 2)  u ( t  2)]. c(5). = [ u ( t )  u ( t 4)] ) ( t x c t e 3 − d(5). Find the Laplace transform of x ( t ) shown at right....
View
Full
Document
This homework help was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.
 Spring '07
 WOZNY

Click to edit the document details