ME 140L - PreLab Lecture 4

# ME 140L - PreLab Lecture 4 - LAB 4 SECOND-ORDER CIRCUITS...

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LAB 4: SECOND-ORDER CIRCUITS University of Texas at Austin Department of Mechanical Engineering ME 140L

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Lab Overview Introduction of Lab Components Second-order circuits RCL series and parallel circuits Resonance phenomena
Introduction of Lab Components Resistors 100 (brown - black - brown) 200 (red - black - brown) 1 k (brown – black - red) 100 k (brown – black - yellow)

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Introduction of Lab Components 1 Capacitor: 10 nF 1 Capacitor: 100 nF
Introduction of Lab Components 1 Inductor: 1 mH

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Second-order circuits Definition: system response is governed by one second-order differential equation (two independent energy storage element). Governing Equation frequency atural n n ω ratio, amping d ξ able input vari u , interest of variable : where x (0) x , x x(0) : condition initial with u x 2 n ω x n ω x : 0 0 = = = = = = = + + x Form Linear
Second-order circuits Undamped case Underdamped case n s and 0 ξ ± = = d n 2 n n ω ξ - 1 ω ξ - s and 1 ξ 0 ± = ± = < <

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ME 140L - PreLab Lecture 4 - LAB 4 SECOND-ORDER CIRCUITS...

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