Wavelength of Line Calculator

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Transmission Line Characteristics

Transmission Line & Antenna Theory

✖Propagation Constant is a parameter that describes the rate at which a wave propagates through a medium. It takes into account both the phase velocity and the attenuation of the wave.ⓘ Propagation Constant [β]

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✖The wavelength of an electromagnetic wave is an important parameter in the design and operation of transmission lines and antennas.ⓘ Wavelength of Line [λ]

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Formula

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Wavelength of Line

Formula

`"λ" = (2*pi)/"β"`

Example

`"7.853982m"=(2*pi)/"0.8"`

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Download Transmission Line Characteristics Formulas PDF

Wavelength of Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = (2*pi)/Propagation Constant
λ = (2*pi)/β
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wavelength - (Measured in Meter) - The wavelength of an electromagnetic wave is an important parameter in the design and operation of transmission lines and antennas.
Propagation Constant - Propagation Constant is a parameter that describes the rate at which a wave propagates through a medium. It takes into account both the phase velocity and the attenuation of the wave.

STEP 1: Convert Input(s) to Base Unit

Propagation Constant: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = (2*pi)/β --> (2*pi)/0.8

Evaluating ... ...

λ = 7.85398163397448

STEP 3: Convert Result to Output's Unit

7.85398163397448 Meter --> No Conversion Required

FINAL ANSWER

7.85398163397448 ≈ 7.853982 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

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Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

Vidyashree V has created this Calculator and 25+ more calculators!

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

Wavelength of Line Formula

Wavelength = (2*pi)/Propagation Constant
λ = (2*pi)/β

What is the significance of wavelength of line?

The higher the frequency of electromagnetic waves moving through a given cable or medium, the shorter the wavelength of the waves. Transmission lines become necessary when the transmitted frequency's wavelength is sufficiently short that the length of the cable becomes a significant part of a wavelength.

How to Calculate Wavelength of Line?

Wavelength of Line calculator uses Wavelength = (2*pi)/Propagation Constant to calculate the Wavelength, The Wavelength of Line formula is defined as the wavelength of line is the distance corresponding to phase shift of 2π radians. It is an electromagnetic wave is an important parameter in the design and operation. Wavelength is denoted by λ symbol.

How to calculate Wavelength of Line using this online calculator? To use this online calculator for Wavelength of Line, enter Propagation Constant (β) and hit the calculate button. Here is how the Wavelength of Line calculation can be explained with given input values -> 7.853982 = (2*pi)/0.8.

FAQ

What is Wavelength of Line?

The Wavelength of Line formula is defined as the wavelength of line is the distance corresponding to phase shift of 2π radians. It is an electromagnetic wave is an important parameter in the design and operation and is represented as λ = (2*pi)/β or Wavelength = (2*pi)/Propagation Constant. Propagation Constant is a parameter that describes the rate at which a wave propagates through a medium. It takes into account both the phase velocity and the attenuation of the wave.

How to calculate Wavelength of Line?

The Wavelength of Line formula is defined as the wavelength of line is the distance corresponding to phase shift of 2π radians. It is an electromagnetic wave is an important parameter in the design and operation is calculated using Wavelength = (2*pi)/Propagation Constant. To calculate Wavelength of Line, you need Propagation Constant (β). With our tool, you need to enter the respective value for Propagation Constant 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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