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Instrumentation (AMME2700) 1 Instrumentation Dr. Xiaofeng Wu.

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Presentation on theme: "Instrumentation (AMME2700) 1 Instrumentation Dr. Xiaofeng Wu."— Presentation transcript:

1 Instrumentation (AMME2700) 1 Instrumentation Dr. Xiaofeng Wu

2 Instrumentation (AMME2700) Note  Quiz 1:  Date: 02/05/2013  Time: 1 hour

3 Instrumentation (AMME2700) Differential Equation with Capacitor or Inductor

4 Instrumentation (AMME2700) Laplace Transfer Function Differential operator S

5 Instrumentation (AMME2700) First Order Filters Low pass filter: High pass filter:

6 Instrumentation (AMME2700) Second Order Filters  Low pass filter  High pass filter  Band pass filter  Band stop (Notch) filter

7 Instrumentation (AMME2700) Example 1  The circuit diagram as shown is a second order band-pass filter. Design this filter to have k=1, ω 0 =1000 rad/s and Q=1. If V s (t)=u(t), find v 0 (t) for time t>0.

8 Instrumentation (AMME2700) Inverse Laplace Transform

9 Instrumentation (AMME2700) Laplace Transform Pairs (p665)

10 Instrumentation (AMME2700) Example 2  Find the inverse Laplace transform of

11 Instrumentation (AMME2700) Example 1  The circuit diagram as shown is a second order band-pass filter. Design this filter to have k=1, ω 0 =1000 rad/s and Q=1. If V s (t)=u(t), find v 0 (t) for time t>0.


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