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Unformatted text preview: Assignment #15 – p.1 ECSE-2410 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....
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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