Return Loss(dB) Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖The incident power fed into antenna refers to the power that is delivered from the transmission line to the antenna.ⓘ Incident Power Fed into Antenna [P_i]			+10% -10%
✖Reflected power by antenna refers to the power that is not effectively transmitted from a source, such as a transmitter or generator, into a load or an antenna system.ⓘ Reflected Power by Antenna [P_ref]			+10% -10%

✖Return loss is a measure of the amount of power reflected back from a transmission line or an antenna, typically expressed in decibels (dB).ⓘ Return Loss(dB) [P_ret]

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Formula

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Return Loss(dB)

Formula

`"P"_{"ret"} = 20*log10("P"_{"i"}/"P"_{"ref"})`

Example

`"5.367961dB"=20*log10("15.25W"/"8.22W")`

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Download Transmission Line & Antenna Theory Formulas PDF

Return Loss(dB) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)
P_ret = 20*log10(P_i/P_ref)
This formula uses 1 Functions, 3 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).
Incident Power Fed into Antenna - (Measured in Watt) - The incident power fed into antenna refers to the power that is delivered from the transmission line to the antenna.
Reflected Power by Antenna - (Measured in Watt) - Reflected power by antenna refers to the power that is not effectively transmitted from a source, such as a transmitter or generator, into a load or an antenna system.

STEP 1: Convert Input(s) to Base Unit

Incident Power Fed into Antenna: 15.25 Watt --> 15.25 Watt No Conversion Required
Reflected Power by Antenna: 8.22 Watt --> 8.22 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_ret = 20*log10(P_i/P_ref) --> 20*log10(15.25/8.22)

Evaluating ... ...

P_ret = 5.36796052285508

STEP 3: Convert Result to Output's Unit

5.36796052285508 Decibel --> No Conversion Required

FINAL ANSWER

5.36796052285508 ≈ 5.367961 Decibel <-- Return Loss

(Calculation completed in 00.004 seconds)

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Credits

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 & Antenna Theory Calculators

Gain of Parabolic Reflector Antenna

Go Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)

Velocity of Propagation in Telephonic Cable

Go Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))

Phase Constant in Telephone Cable

Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)

Return Loss(dB)

Go Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)

Parallel Waveguide Distance from Cutoff Wavenumber

Go Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber

Cutoff Wavenumber in TM and TE Mode

Go Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance

Focal Length of Reflector

Go Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))

Polarization Mismatch Loss

Go Polarization Mismatch Loss = -20*log10(cos(Theta))

Minimum Distance from Antenna

Go Minimum Distance from Antenna = (2*Parabolic Reflector Diameter^2)/Wavelength

Beamwidth of Reflector

Go Beamwidth = (70*Wavelength)/Parabolic Reflector Diameter

Voltage Maxima

Go Voltage Maxima = Incident Voltage+Reflected Voltage

Voltage Minima

Go Voltage Minima = Incident Voltage-Reflected Voltage

Current Maxima

Go Current Maxima = Incident Current+Reflected Current

Current Minima

Go Current Minima = Incident Current-Reflected Current

Velocity Factor

Go Velocity Factor = 1/(sqrt(Dielectric Constant))

Return Loss(dB) Formula

Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)
P_ret = 20*log10(P_i/P_ref)

What is the relation between return loss and mismatch?

This discontinuity can be caused by a mismatch between the termination or load connected to the line and the characteristic impedance of the line and is represented as return loss. It is usually expressed as a ratio in decibels (dB)

How to Calculate Return Loss(dB)?

Return Loss(dB) calculator uses Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna) to calculate the Return Loss, The Return loss(dB) formula is defined as logarithmic ratio measured in dB that compares the power reflected by the antenna Pr to the power that is fed into the antenna from the transmission line Pi. Return Loss is denoted by P_ret symbol.

How to calculate Return Loss(dB) using this online calculator? To use this online calculator for Return Loss(dB), enter Incident Power Fed into Antenna (P_i) & Reflected Power by Antenna (P_ref) and hit the calculate button. Here is how the Return Loss(dB) calculation can be explained with given input values -> 5.367961 = 20*log10(15.25/8.22).

FAQ

What is Return Loss(dB)?

The Return loss(dB) formula is defined as logarithmic ratio measured in dB that compares the power reflected by the antenna Pr to the power that is fed into the antenna from the transmission line Pi and is represented as P_ret = 20*log10(P_i/P_ref) or Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna). The incident power fed into antenna refers to the power that is delivered from the transmission line to the antenna & Reflected power by antenna refers to the power that is not effectively transmitted from a source, such as a transmitter or generator, into a load or an antenna system.

How to calculate Return Loss(dB)?

The Return loss(dB) formula is defined as logarithmic ratio measured in dB that compares the power reflected by the antenna Pr to the power that is fed into the antenna from the transmission line Pi is calculated using Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna). To calculate Return Loss(dB), you need Incident Power Fed into Antenna (P_i) & Reflected Power by Antenna (P_ref). With our tool, you need to enter the respective value for Incident Power Fed into Antenna & Reflected Power by Antenna 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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