Return Loss by Means of VSWR Solution

STEP 0: Pre-Calculation Summary
Formula Used
Return Loss = 20*log10((Voltage Standing Wave Ratio+1)/(Voltage Standing Wave Ratio-1))
Pret = 20*log10((VSWR+1)/(VSWR-1))
This formula uses 1 Functions, 2 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Return Loss - (Measured in Decibel) - Return loss is a measure of the amount of power reflected back from a transmission line or an antenna, typically expressed in decibels (dB).
Voltage Standing Wave Ratio - Voltage Standing wave ratio is the ratio of maximum and minimum magnitude of voltage on a line having on a line having standing waves.
STEP 1: Convert Input(s) to Base Unit
Voltage Standing Wave Ratio: 3.34 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pret = 20*log10((VSWR+1)/(VSWR-1)) --> 20*log10((3.34+1)/(3.34-1))
Evaluating ... ...
Pret = 5.36547744204736
STEP 3: Convert Result to Output's Unit
5.36547744204736 Decibel --> No Conversion Required
FINAL ANSWER
5.36547744204736 5.365477 Decibel <-- Return Loss
(Calculation completed in 00.004 seconds)

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BMS College of Engineering (BMSCE), Bangalore
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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

Return Loss by Means of VSWR Formula

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

How is VSWR and return loss related?

The interaction between the wave travelling from the transmitter to the antenna and the wave reflected by the antenna towards the transmitter creates what is known as a stationary wave,therefore an alternative way to measure the impedance mismatch is by means of the Voltage Standing Wave Ratio(VSWR). In a perfectly matched transmission line,VSWR=1.
In practice,we strive to maintain a VSWR below 2.

How to Calculate Return Loss by Means of VSWR?

Return Loss by Means of VSWR calculator uses Return Loss = 20*log10((Voltage Standing Wave Ratio+1)/(Voltage Standing Wave Ratio-1)) to calculate the Return Loss, The Return loss by means of VSWR formula is defined as an interaction between the wave travelling from the transmitter to the antenna and the wave reflected by the antenna towards the transmitter creates what is known as a stationary wave, therefore an alternative way to measure the impedance mismatch is by means of the Voltage Standing Wave Ratio(VSWR). Return Loss is denoted by Pret symbol.

How to calculate Return Loss by Means of VSWR using this online calculator? To use this online calculator for Return Loss by Means of VSWR, enter Voltage Standing Wave Ratio (VSWR) and hit the calculate button. Here is how the Return Loss by Means of VSWR calculation can be explained with given input values -> 5.365477 = 20*log10((3.34+1)/(3.34-1)).

FAQ

What is Return Loss by Means of VSWR?
The Return loss by means of VSWR formula is defined as an interaction between the wave travelling from the transmitter to the antenna and the wave reflected by the antenna towards the transmitter creates what is known as a stationary wave, therefore an alternative way to measure the impedance mismatch is by means of the Voltage Standing Wave Ratio(VSWR) and is represented as Pret = 20*log10((VSWR+1)/(VSWR-1)) or Return Loss = 20*log10((Voltage Standing Wave Ratio+1)/(Voltage Standing Wave Ratio-1)). Voltage Standing wave ratio is the ratio of maximum and minimum magnitude of voltage on a line having on a line having standing waves.
How to calculate Return Loss by Means of VSWR?
The Return loss by means of VSWR formula is defined as an interaction between the wave travelling from the transmitter to the antenna and the wave reflected by the antenna towards the transmitter creates what is known as a stationary wave, therefore an alternative way to measure the impedance mismatch is by means of the Voltage Standing Wave Ratio(VSWR) is calculated using Return Loss = 20*log10((Voltage Standing Wave Ratio+1)/(Voltage Standing Wave Ratio-1)). To calculate Return Loss by Means of VSWR, you need Voltage Standing Wave Ratio (VSWR). With our tool, you need to enter the respective value for Voltage Standing Wave Ratio 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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