1. Lec 1. Two-Port Circuit Mr.Mohamed Elshaikh

2. What today?? ● Introduction ● The concept of two-port circuit ● The terminal equations ● Two-port parameters (Z, Y, ABCD, H, G) ● Relationships among the two-port parameters.

3. Introduction ● TKT419 Electric Circuits II ● 3 credits ● Lectures and Tutorial.. ● Assessment: – 4 tutorials (20%) – 2 tests (20%) – Final exam(60%) ● 4 weeks ( 12 hours each)

4. Contents: ● Topics: – Two-port circuit – Laplace Transforms – Frequency reesponse in AC circuit – Fourier Series – Fourier Transforms ● Textbook: – Electric Circuits, James W. Nilsson and Susan A. Riedel, Prentice Hall

5. The concepts of two-port circuit ● Two-port circuit is a method of analyzing some electrical System ● Systems are represented as a box with input and output (port or terminals) – Terminal pairs represents (I/O) of the signals

6. Example 1 ● Calculate the equivalent r for both ports....

7. Two-port analysis ● Relating the current and voltage between two ports ● The system must be in s- domain ● For purely resistive networks (resistive circuits) ● Sinusoidal steady-state need to be converted to s- domain first

8. Cont.. ● Uses set of equations to relate current and voltage. ● Two-port aims to describe the network by set of two equations. ● There are six different sets of equation. ● Which are:

9. Z Y Tran smis sion b h g Terminal equations

10. Calculating Z parameters IMPEDANCE PARAMETERS

11. Example ● Find z parameter for the below circuit:

12. Solutions: ● When port 2 open-circuit, I 2 =0 so,

13. ● When I 2 =0, thus V 2

14. Now, when I 1 =0,so

15. ● When port 1 open-circuit, I 1 =0, so:

16. ADMITTANCE PARAMETERS y parameters

17. a parameters

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

19. INVERSE HYBRID PARAMETERS g parameters

20. Example................ ● Find y,g, and h parameters for the circuit bellow:

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

22. Relationship between parameters ● Z and Y Then:

23. Z parameters

24. RELATIONSHIPS BETWEEN PARAMETERS

26. Compare these two above equations:

27. Find z parameters as functions of a parameters

28. Therefore,

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

30. Symmetric of a reciprocal two-port circuits ● Following relationships exist among port parameters:

31. Y parameters

32. Problem 1. ● Find z parameters for. ● Use the result above to calculate y parameters.

33. Circuits

34. Problem

35. Q and A