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Mismatched Loss Formula

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Mismatched loss is the amount of power expressed in decibels that will not be available on the output due to impedance mismatches. Check FAQs

M L = - 10 \cdot \log 10 (1 - r^{2})

M_L - Mismatched Loss?r - Reflection Coefficient?

Mismatched Loss Example

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Here is how the Mismatched Loss equation looks like with Values.

Here is how the Mismatched Loss equation looks like with Units.

Here is how the Mismatched Loss equation looks like.

0.4096 = - 10 \cdot \log 10 (1 - {0.3}^{2})

0.4096dB = - 10 \cdot \log 10 (1 - {0.3}^{2})

0.4096 = - 10 \cdot \log 10 (1 - {0.3}^{2})

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Mismatched Loss Solution

Follow our step by step solution on how to calculate Mismatched Loss?

FIRST Step Consider the formula

M L = - 10 \cdot \log 10 (1 - r^{2})

Next Step Substitute values of Variables

∴

M L = - 10 \cdot \log 10 (1 - {0.3}^{2})

Next Step Prepare to Evaluate

∴

M L = - 10 \cdot \log 10 (1 - {0.3}^{2})

Next Step Evaluate

∴

M L = 0.409586076789064dB

LAST Step Rounding Answer

∴

M L = 0.4096dB

Mismatched Loss Formula Elements

Variables

Functions

Mismatched Loss

Mismatched loss is the amount of power expressed in decibels that will not be available on the output due to impedance mismatches.

Symbol: M_L

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Mismatched Loss

Reflection Coefficient

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

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reflection Coefficient

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.

Syntax: log10(Number)

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P sw = {V swr}^{2}

Go Saturation Drift Voltage

V ds = \frac{L g}{T o}

How to Evaluate Mismatched Loss?

Mismatched Loss evaluator uses Mismatched Loss = -10*log10(1-Reflection Coefficient^2) to evaluate 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 evaluate Mismatched Loss using this online evaluator? To use this online evaluator for Mismatched Loss, enter Reflection Coefficient (r) and hit the calculate button.

FAQs on Mismatched Loss

What is the formula to find Mismatched Loss?

The formula of Mismatched Loss is expressed as Mismatched Loss = -10*log10(1-Reflection Coefficient^2). Here is an example- 0.409586 = -10*log10(1-0.3^2).

How to calculate Mismatched Loss?

With Reflection Coefficient (r) we can find Mismatched Loss using the formula - Mismatched Loss = -10*log10(1-Reflection Coefficient^2). This formula also uses Common Logarithm (log10) function(s).

Can the Mismatched Loss be negative?

No, the Mismatched Loss, measured in Noise cannot be negative.

Which unit is used to measure Mismatched Loss?

Mismatched Loss is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Mismatched Loss can be measured.

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