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Unformatted text preview: the sinusoidal input u H t L = 5 Sin 20 Π t 2 hw2W.nb Printed by Mathematica for Students A = 5 k 2 + 400 Π 2 k 2 + 400 Π 2 = 25 A 2 k = + 25 A 2-400 Π 2 Plus sign because of stability ! 4. True or False ? Indicate your reasoning ! ' The more stable the system, the smaller is the steady state response to a the Unit Step Input b sinusoid Input c Unit Impulse Input Ans a True; response = 1 k ; larger the k more stable the system b True Amplitude = 1 k 2 + 4 Π 2 f 2 c Response steady state = 0. However timeconstant gets smaller-so we can still say True hw2W.nb 3 Printed by Mathematica for Students...
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- Spring '09
- Steady State, Trigraph, Πt Ψt