1. Instrumentation
Dr. Xiaofeng Wu 1 1

2. Note
Quiz 1:
Date: 02/05/2013
Time: 1 hour

3. Differential Equation with Capacitor or Inductor

4. Laplace Transfer Function
Differential operator S

5. First Order Filters
Low pass filter:
High pass filter:

6. Second Order Filters Low pass filter High pass filter Band pass filter
Band stop (Notch) filter

7. Example 1
The circuit diagram as shown is a second order band-pass filter. Design this filter to have k=1, ω0=1000 rad/s and Q=1. If Vs(t)=u(t), find v0(t) for time t>0.

8. Inverse Laplace Transform

9. Laplace Transform Pairs (p665)

10. Example 2
Find the inverse Laplace transform of

11. Example 1
The circuit diagram as shown is a second order band-pass filter. Design this filter to have k=1, ω0=1000 rad/s and Q=1. If Vs(t)=u(t), find v0(t) for time t>0.