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

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Lossless Transmission Line If Then: All TEM, L’C’=µε ected conductors: High conductivities lectric materials: negligible conductivities

Transcript of Lossless Transmission Line If Then: All TEM, L’C’=µε Selected conductors: High conductivities...

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

Lossless Transmission Line

If

Then:All TEM, L’C’=µε

Selected conductors: High conductivitiesDielectric materials: negligible conductivities

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Voltage Reflection Coefficient

At the load (z = 0):

Reflection coefficient

Normalized load impedance

(2.55)

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Voltage Reflection Coefficient

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Current Reflection Coefficient

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Standing Waves

voltage magnitude

current magnitude

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Standing Wave Patterns for 3 Types of Loads

0

1

1

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Maxima & Minima

Standing-Wave Pattern

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Maxima & Minima (cont.)

S = Voltage Standing Wave Ratio

For a matched load: S = 1

For a short, open, or purely reactive load:

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Example 2-6: Measuring ZL with a Slotted Line

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Wave Impedance

At a distance d from the load:

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Input Impedance

At input, d = l:

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Cont.

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(cont.)

Cont.

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(cont.)

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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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Open-Circuited Line

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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 Z0 and electrical length

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Instantaneous Power Flow

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Average Power