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Mean Free Path Formula

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Mean Free Path electron is defined as an average distance travelled by a moving electrons between successive impacts, which modifies its direction or energy or other particle properties. Check FAQs

L e = (\frac{Φ n}{ΔN}) \cdot 2 \cdot t

L_e - Mean Free Path Electron?Φ_n - Electron Flux Density?ΔN - Difference in Electron Concentration?t - Time?

Mean Free Path Example

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With units

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Here is how the Mean Free Path equation looks like with Values.

Here is how the Mean Free Path equation looks like with Units.

Here is how the Mean Free Path equation looks like.

24.4375 = (\frac{0.017}{8000}) \cdot 2 \cdot 5.75

24.4375μm = (\frac{0.017Wb/m²}{80001/m³}) \cdot 2 \cdot 5.75s

24.4375 = (\frac{0.017}{8000}) \cdot 2 \cdot 5.75

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Mean Free Path Solution

Follow our step by step solution on how to calculate Mean Free Path?

FIRST Step Consider the formula

L e = (\frac{Φ n}{ΔN}) \cdot 2 \cdot t

Next Step Substitute values of Variables

∴

L e = (\frac{0.017Wb/m²}{80001/m³}) \cdot 2 \cdot 5.75s

Next Step Convert Units

∴

L e = (\frac{0.017T}{80001/m³}) \cdot 2 \cdot 5.75s

Next Step Prepare to Evaluate

∴

L e = (\frac{0.017}{8000}) \cdot 2 \cdot 5.75

Next Step Evaluate

∴

L e = 2.44375E-05m

LAST Step Convert to Output's Unit

∴

L e = 24.4375μm

Mean Free Path Formula Elements

Variables

Mean Free Path Electron

Mean Free Path electron is defined as an average distance travelled by a moving electrons between successive impacts, which modifies its direction or energy or other particle properties.

Symbol: L_e

Measurement: LengthUnit: μm

Note: Value should be between 0 to 1E+23.

Formulas to find Mean Free Path Electron

Electron Flux Density

Electron Flux Density refers to the quantity of electrons per unit volume in a given material or region. It represents the measure of how many electrons are present in a specific space or volume.

Symbol: Φ_n

Measurement: Magnetic Flux DensityUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Electron Flux Density

Difference in Electron Concentration

Difference in Electron Concentration is defined as the difference between the electron density of two electron.

Symbol: ΔN

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Difference in Electron Concentration

Time

Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time

Other formulas in Electrons and Holes category

Go Electron Out of Region

n out = M n \cdot n in

Go Electron in Region

n in = \frac{n out}{M n}

Go Hole Component

i ep = i en \cdot \frac{Y}{1 - Y}

Go Electron Component

i en = (\frac{i ep}{Y}) - i ep

How to Evaluate Mean Free Path?

Mean Free Path evaluator uses Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time to evaluate the Mean Free Path Electron, The Mean Free Path formula is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties. Mean Free Path Electron is denoted by L_e symbol.

How to evaluate Mean Free Path using this online evaluator? To use this online evaluator for Mean Free Path, enter Electron Flux Density (Φ_n), Difference in Electron Concentration (ΔN) & Time (t) and hit the calculate button.

FAQs on Mean Free Path

What is the formula to find Mean Free Path?

The formula of Mean Free Path is expressed as Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time. Here is an example- 2.4E+7 = (0.017/(8000))*2*5.75.

How to calculate Mean Free Path?

With Electron Flux Density (Φ_n), Difference in Electron Concentration (ΔN) & Time (t) we can find Mean Free Path using the formula - Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time.

Can the Mean Free Path be negative?

Yes, the Mean Free Path, measured in Length can be negative.

Which unit is used to measure Mean Free Path?

Mean Free Path is usually measured using the Micrometer[μm] for Length. Meter[μm], Millimeter[μm], Kilometer[μm] are the few other units in which Mean Free Path can be measured.

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