Laplace Circuit Analysis

# Laplace Circuit Analysis

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## Laplace Circuit Analysis

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##### Presentation Transcript

1. Laplace Circuit Analysis Electrical and Computer Engineering Department University of Tennessee Knoxville, Tennessee wlg

2. Laplace Circuit Analysis Circuit Element Modeling

3. Laplace Circuit Analysis Circuit Element Modeling Resistance Time Domain Complex Frequency Domain

4. Laplace Circuit Analysis Circuit Element Modeling Inductor

5. Laplace Circuit Analysis Capacitor

6. Laplace Circuit Analysis Linear Transformer

7. Laplace Circuit Analysis Oh man! Time domain to complex frequency domain What a mess.

8. Laplace Circuit Analysis Circuit Application: Given the circuit below. Assume zero IC’s. Use Laplace to find vc(t). The time domain circuit: Laplace circuit

9. Laplace Circuit Analysis Circuit Application:

10. Laplace Circuit Analysis Circuit Application: Given the circuit below. Assume vc(0) = - 4 V. Use Laplace to find vc(t). The time domain circuit: Laplace circuit:

11. Laplace Circuit Analysis Circuit Application: Check the boundary conditions vc(0) = - 4 V vc(oo) = 2 V

12. Laplace Circuit Analysis Circuit Application: Find i0(t) using Laplace

13. Laplace Circuit Analysis Circuit Application: Find i0(t) using Laplace Mesh 1

14. Laplace Circuit Analysis Circuit Application: Find i0(t) using Laplace Mesh 2

15. Laplace Circuit Analysis Circuit Application: Find i0(t) using Laplace Add these 2 equations

16. Laplace Circuit Analysis Circuit Application: Find i0(t) using Laplace Is final value of i2(t) reasonable?

17. That’s all Folks !