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Lossless Transmission Line If Then: All TEM, L’C’=µε Selected conductors: High conductivities Dielectric materials: negligible conductivities.

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Presentation on theme: "Lossless Transmission Line If Then: All TEM, L’C’=µε Selected conductors: High conductivities Dielectric materials: negligible conductivities."— Presentation transcript:

1 Lossless Transmission Line If Then: All TEM, L’C’=µε Selected conductors: High conductivities Dielectric materials: negligible conductivities

2

3 Voltage Reflection Coefficient At the load (z = 0): Reflection coefficient Normalized load impedance (2.55)

4 Voltage Reflection Coefficient

5 Current Reflection Coefficient

6

7

8 Standing Waves voltage magnitude current magnitude

9 Standing-Wave Pattern Voltage magnitude is maximum When voltage is a maximum, current is a minimum, and vice versa minimum

10 Standing Wave Patterns for 3 Types of Loads

11 Maxima & Minima Standing-Wave Pattern

12 Maxima & Minima (cont.) S = Voltage Standing Wave Ratio For a matched load: S = 1 For a short, open, or purely reactive load:

13 Example 2-6: Measuring Z L with a Slotted Line

14 Wave Impedance At a distance d from the load:

15 Input Impedance At input, d = l:

16 Cont.

17 (cont.) Cont.

18 (cont.)

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20 Short-Circuited Line For the short-circuited line: At its input, the line appears like an inductor or a capacitor depending on the sign of

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22 Open-Circuited Line

23 Short-Circuit/Open-Circuit Method For a line of known length l, measurements of its input impedance, one when terminated in a short circuit and another when terminated in an open circuit, can be used to find its characteristic impedance Z 0 and electrical length

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26 Instantaneous Power Flow

27 Average Power


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