Reflection Coefficient in Transmission Line Calculator

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Transmission Line Characteristics

Transmission Line & Antenna Theory

✖Load impedance of transmission line is the concept of connecting a device or component to the output of a functional block, thus drawing from it a measurable amount of current.ⓘ Load Impedance of Transmission Line [Z_L]			+10% -10%
✖Characteristics Impedance of Transmission Line (Z0) is the ratio of voltage to current in a wave propagating along the line.ⓘ Characteristics Impedance of Transmission Line [Z_o]			+10% -10%

✖Reflection coefficient refers to a parameter that describes the behavior of waves at the interface between different media or at the termination of a transmission line.ⓘ Reflection Coefficient in Transmission Line [Γ]

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Formula

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Reflection Coefficient in Transmission Line

Formula

`"Γ" = ("Z"_{"L"}-"Z"_{"o"})/("Z"_{"L"}+"Z"_{"o"})`

Example

`"0.548975"=("68Ω"-"19.8Ω")/("68Ω"+"19.8Ω")`

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Reflection Coefficient in Transmission Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reflection Coefficient = (Load Impedance of Transmission Line-Characteristics Impedance of Transmission Line)/(Load Impedance of Transmission Line+Characteristics Impedance of Transmission Line)
Γ = (Z_L-Z_o)/(Z_L+Z_o)
This formula uses 3 Variables

Variables Used

Reflection Coefficient - Reflection coefficient refers to a parameter that describes the behavior of waves at the interface between different media or at the termination of a transmission line.
Load Impedance of Transmission Line - (Measured in Ohm) - Load impedance of transmission line is the concept of connecting a device or component to the output of a functional block, thus drawing from it a measurable amount of current.
Characteristics Impedance of Transmission Line - (Measured in Ohm) - Characteristics Impedance of Transmission Line (Z0) is the ratio of voltage to current in a wave propagating along the line.

STEP 1: Convert Input(s) to Base Unit

Load Impedance of Transmission Line: 68 Ohm --> 68 Ohm No Conversion Required
Characteristics Impedance of Transmission Line: 19.8 Ohm --> 19.8 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Γ = (Z_L-Z_o)/(Z_L+Z_o) --> (68-19.8)/(68+19.8)

Evaluating ... ...

Γ = 0.548974943052392

STEP 3: Convert Result to Output's Unit

0.548974943052392 --> No Conversion Required

FINAL ANSWER

0.548974943052392 ≈ 0.548975 <-- Reflection Coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Transmission Line and Antenna » Transmission Line Characteristics » Reflection Coefficient in Transmission Line

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Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

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< 15 Transmission Line Characteristics Calculators

Reflection Coefficient in Transmission Line

Go Reflection Coefficient = (Load Impedance of Transmission Line-Characteristics Impedance of Transmission Line)/(Load Impedance of Transmission Line+Characteristics Impedance of Transmission Line)

Resistance at Second Temperature

Go Final Resistance = Initial Resistance*((Temperature Coefficient+Final Temperature)/(Temperature Coefficient+Initial Temperature))

Impedance Matching in Single Section Quarter Wave Line

Go Characteristics Impedance of Transmission Line = sqrt(Load Impedance of Transmission Line*Source Impedance)

Insertion Loss in Transmission Line

Go Insertion Loss = 10*log10(Power Transmitted Before Insertion/Power Received After Insertion)

Return Loss by Means of VSWR

Go Return Loss = 20*log10((Voltage Standing Wave Ratio+1)/(Voltage Standing Wave Ratio-1))

Bandwidth of Antenna

Go Bandwidth of Antenna = 100*((Highest Frequency-Lowest Frequency)/Centre Frequency)

Length of Wound Conductor

Go Length of Wound Conductor = sqrt(1+(pi/Relative Pitch of Wound Conductor)^2)

Characteristic Impedance of Transmission Line

Go Characteristics Impedance of Transmission Line = sqrt(Inductance/Capacitance)

Voltage Standing Wave Ratio (VSWR)

Go Voltage Standing Wave Ratio = (1+Reflection Coefficient)/(1-Reflection Coefficient)

Conductance of Distortionless Line

Go Conductance = (Resistance*Capacitance)/Inductance

Relative Pitch of Wound Conductor

Go Relative Pitch of Wound Conductor = (Length of Spiral/(2*Radius of Layer))

Current Standing Wave Ratio (CSWR)

Go Current Standing Wave Ratio = Current Maxima/Current Minima

Standing Wave Ratio

Go Standing Wave Ratio (SWR) = Voltage Maxima/Voltage Minima

Wavelength of Line

Go Wavelength = (2*pi)/Propagation Constant

Phase Velocity in Transmission Lines

Go Phase Velocity = Wavelength*Frequency

Reflection Coefficient in Transmission Line Formula

What is the relation of Reflection coefficient to load impedance?

The reflection coefficient is determined by the load impedance at the end of the transmission line, as well as the characteristic impedance of the line. A load impedance terminating a line with a characteristic impedance, will have a reflection coefficient.

How to Calculate Reflection Coefficient in Transmission Line?

Reflection Coefficient in Transmission Line calculator uses Reflection Coefficient = (Load Impedance of Transmission Line-Characteristics Impedance of Transmission Line)/(Load Impedance of Transmission Line+Characteristics Impedance of Transmission Line) to calculate the Reflection Coefficient, The Reflection Coefficient in Transmission Line formula is defined as defined as the ratio of the reflected voltage at load to the incident voltage at load. Reflection coefficient refers to a parameter that describes the behavior of waves at the interface between different media or at the termination of a transmission line. Reflection Coefficient is denoted by Γ symbol.

How to calculate Reflection Coefficient in Transmission Line using this online calculator? To use this online calculator for Reflection Coefficient in Transmission Line, enter Load Impedance of Transmission Line (Z_L) & Characteristics Impedance of Transmission Line (Z_o) and hit the calculate button. Here is how the Reflection Coefficient in Transmission Line calculation can be explained with given input values -> 0.548975 = (68-19.8)/(68+19.8).

FAQ

What is Reflection Coefficient in Transmission Line?

The Reflection Coefficient in Transmission Line formula is defined as defined as the ratio of the reflected voltage at load to the incident voltage at load. Reflection coefficient refers to a parameter that describes the behavior of waves at the interface between different media or at the termination of a transmission line and is represented as Γ = (Z_L-Z_o)/(Z_L+Z_o) or Reflection Coefficient = (Load Impedance of Transmission Line-Characteristics Impedance of Transmission Line)/(Load Impedance of Transmission Line+Characteristics Impedance of Transmission Line). Load impedance of transmission line is the concept of connecting a device or component to the output of a functional block, thus drawing from it a measurable amount of current & Characteristics Impedance of Transmission Line (Z0) is the ratio of voltage to current in a wave propagating along the line.

How to calculate Reflection Coefficient in Transmission Line?

The Reflection Coefficient in Transmission Line formula is defined as defined as the ratio of the reflected voltage at load to the incident voltage at load. Reflection coefficient refers to a parameter that describes the behavior of waves at the interface between different media or at the termination of a transmission line is calculated using Reflection Coefficient = (Load Impedance of Transmission Line-Characteristics Impedance of Transmission Line)/(Load Impedance of Transmission Line+Characteristics Impedance of Transmission Line). To calculate Reflection Coefficient in Transmission Line, you need Load Impedance of Transmission Line (Z_L) & Characteristics Impedance of Transmission Line (Z_o). With our tool, you need to enter the respective value for Load Impedance of Transmission Line & Characteristics Impedance of Transmission Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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