TWO-PORT NETWORK

1. TWO-PORT NETWORK EKT 919/3 CrashCourse Sidang Akademik 2009/2010 (1 June 2010 – 28 June 2010) Lecturer: Pn. Wan Nur Suryani Firuz Bt Wan Ariffin (012-4820815) Cik Ismahayati Binti Adam(012-7744923) PLV:Pn. Nazatul Shima Binti Saad (013-5954737)

2. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships among two-port parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

3. TERMINAL EQUATIONS s-domain two-port basic building block

4. Terminal equations relationships • 1st Relationship:

5. 2nd Relationship:

6. 3rd Relationship:

7. 4th Relationship:

8. 5th Relationship:

9. 6th Relationship:

10. TWO PORT NETWORK: • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

11. IMPEDANCE PARAMETERS • z parameters

12. ADMITTANCE PARAMETERSy parameters

13. a parameters

14. b parameters a and b parameters are called transmission parameters

15. HYBRID PARAMETERSh parameters

16. INVERSE HYBRID PARAMETERSg parameters

17. Example 1 • Find z parameter for the below circuit:

18. Solutions: • When port 2 open-circuit, I2=0 so,

19. When I2=0, thus V2

20. Now, when I1=0,so

21. When port 1 open-circuit, I1=0, so:

22. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

23. RELATIONSHIPS BETWEEN PARAMETERS

25. Compare these two above equations:

26. Find z parameters as functions of a parameters

27. Therefore,

28. RECIPROCAL TWO-PORT CIRCUITS • If a two-port circuit is reciprocal, the following relationships exist among port parameters:

29. Symmetric of a reciprocal two-port circuits • Following relationships exist among port parameters:

30. Example of symmetric two-port circuits Symmetric tee

31. Symmetric pi

32. Symmetric bridge tee

33. Symmetric lattice

34. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

35. ANALYSIS OF TERMINATED TWO-PORT CIRCUITS

36. 6 characteristics of terminated two-port circuit • Input impedance (Zin=V1/I1) or admittance (Yin=I1/V1) • Output current, I2 • Thevenin voltage and impedance (ZTh, VTh) with respect to port 2 • Current gain I2/I1 • Voltage gain V2/V1 • Voltage gain V2/Vg

37. 6 characteristics in term of z parameters • 4 parameter equations that describe the circuit:

38. 1st characteristic (input impedance)

39. 2nd characteristic (output current, I2)

40. 3rd characteristic (Thevenin voltage @ impedance)

41. Impedance Thevenin

42. 4th characteristic (current gain)

43. 5th characteristic (voltage gain V2/V1)

45. 6th characteristic (voltage gain V2/Vg)

47. TWO-PORT NETWORK • Terminal equations • Two-port parameters • Relationships between parameters • Analysis of terminated two-port circuit • Interconnected two-port circuits

48. INTERCONNECTED TWO-PORT CIRCUITS

49. Cascade connection

50. Two-port parameters