✖Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.ⓘ Reflection Coefficient [r]

+10%

-10%

✖Mismatched loss is the amount of power expressed in decibels that will not be available on the output due to impedance mismatches.ⓘ Mismatched Loss [M_L]

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Formula

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Mismatched Loss

Formula

`"M"_{"L"} = -10*log10(1-"r"^2)`

Example

`"0.409586dB"=-10*log10(1-("0.30")^2)`

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Mismatched Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mismatched Loss = -10*log10(1-Reflection Coefficient^2)
M_L = -10*log10(1-r^2)
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

Mismatched Loss - (Measured in Decibel) - Mismatched loss is the amount of power expressed in decibels that will not be available on the output due to impedance mismatches.
Reflection Coefficient - Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.

STEP 1: Convert Input(s) to Base Unit

Reflection Coefficient: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_L = -10*log10(1-r^2) --> -10*log10(1-0.3^2)

Evaluating ... ...

M_L = 0.409586076789064

STEP 3: Convert Result to Output's Unit

0.409586076789064 Decibel --> No Conversion Required

FINAL ANSWER

0.409586076789064 ≈ 0.409586 Decibel <-- Mismatched Loss

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 13 Helix Tube Calculators

Input Current during Gain Consideration

Go Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance)))

Round Trip DC Transit Time

Go DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage))

DC Voltage

Go DC Voltage = (0.5*[Mass-e]*Electron Uniform Velocity^2)/[Charge-e]

Reflection Coefficient

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

Insertion Loss

Go Insertion Loss = 20*log10(Voltage/Input Signal Amplitude)

Pitch Angle

Go Pitch Angle = arsin(Phase Velocity/[c])

Phase Velocity

Go Phase Velocity = [c]*sin(Pitch Angle)

Voltage Standing Wave Ratio

Go Voltage Standing Wave Ratio = Maximum Voltage/Minimum Voltage

Ratio of Voltage Wave

Go Voltage Standing Wave Ratio = sqrt(Power Standing Wave Ratio)

Saturation Drift Voltage

Go Saturation Drift Velocity = Gate Length/DC Transient Time

Gate Length

Go Gate Length = DC Transient Time*Saturation Drift Velocity

Mismatched Loss

Go Mismatched Loss = -10*log10(1-Reflection Coefficient^2)

Power Standing Wave Ratio

Go Power Standing Wave Ratio = Voltage Standing Wave Ratio^2

Mismatched Loss Formula

Mismatched Loss = -10*log10(1-Reflection Coefficient^2)
M_L = -10*log10(1-r^2)

What is affect of Mismatched Loss on Microwave signal?

Minimizing mismatched loss is crucial for optimizing power transfer and ensuring that the generated microwave signal is effectively delivered to the intended destination.

How to Calculate Mismatched Loss?

Mismatched Loss calculator uses Mismatched Loss = -10*log10(1-Reflection Coefficient^2) to calculate the Mismatched Loss, The Mismatched Loss formula is defined as the amount of power expressed in decibels that will not be available on the output due to impedance mismatches. Mismatched Loss is denoted by M_L symbol.

How to calculate Mismatched Loss using this online calculator? To use this online calculator for Mismatched Loss, enter Reflection Coefficient (r) and hit the calculate button. Here is how the Mismatched Loss calculation can be explained with given input values -> 0.409586 = -10*log10(1-0.3^2).

FAQ

What is Mismatched Loss?

The Mismatched Loss formula is defined as the amount of power expressed in decibels that will not be available on the output due to impedance mismatches and is represented as M_L = -10*log10(1-r^2) or Mismatched Loss = -10*log10(1-Reflection Coefficient^2). Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.

How to calculate Mismatched Loss?

The Mismatched Loss formula is defined as the amount of power expressed in decibels that will not be available on the output due to impedance mismatches is calculated using Mismatched Loss = -10*log10(1-Reflection Coefficient^2). To calculate Mismatched Loss, you need Reflection Coefficient (r). With our tool, you need to enter the respective value for Reflection Coefficient 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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