1. Instrumentation (AMME2700) 1 Instrumentation Dr. Xiaofeng Wu

2. Instrumentation (AMME2700) Frequency Response 2

3. Instrumentation (AMME2700) Bode Diagram

4. Instrumentation (AMME2700) Laplace Transfer Function Differential operator S

5. Instrumentation (AMME2700) Impedance 5

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

7. Instrumentation (AMME2700) Second-Order RLC Filters

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

9. Instrumentation (AMME2700)

10. 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.

11. Instrumentation (AMME2700) Inverse Laplace Transform

12. Instrumentation (AMME2700) Laplace Transform Pairs

13. 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.

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