Mean Free Path Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time
Le = (Φn/(ΔN))*2*t
This formula uses 4 Variables
Variables Used
Mean Free Path Electron - (Measured in Meter) - 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.
Electron Flux Density - (Measured in Tesla) - 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.
Difference in Electron Concentration - (Measured in 1 per Cubic Meter) - Difference in Electron Concentration is defined as the difference between the electron density of two electron.
Time - (Measured in Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Electron Flux Density: 0.017 Weber per Square Meter --> 0.017 Tesla (Check conversion here)
Difference in Electron Concentration: 8000 1 per Cubic Meter --> 8000 1 per Cubic Meter No Conversion Required
Time: 5.75 Second --> 5.75 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Le = (Φn/(ΔN))*2*t --> (0.017/(8000))*2*5.75
Evaluating ... ...
Le = 2.44375E-05
STEP 3: Convert Result to Output's Unit
2.44375E-05 Meter -->24.4375 Micrometer (Check conversion here)
FINAL ANSWER
24.4375 Micrometer <-- Mean Free Path Electron
(Calculation completed in 00.020 seconds)

Credits

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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18 Electrons & Holes Calculators

Phi-dependent Wave Function
Go Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle))
Order of Diffraction
Go Order of Diffraction = (2*Grafting Space*sin(Incident Angle))/Wavelength of Ray
Radius of Nth Orbit of Electron
Go Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)
AC Conductance
Go AC Conductance = ([Charge-e]/([BoltZ]*Temperature))*Electric Current
Quantum State
Go Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2)
Hole Component
Go Hole Component = Electron Component*Emitter Injection Efficiency/(1-Emitter Injection Efficiency)
Mean Free Path
Go Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time
Electron Flux Density
Go Electron Flux Density = (Mean Free Path Electron/(2*Time))*Difference in Electron Concentration
Electron Component
Go Electron Component = ((Hole Component)/Emitter Injection Efficiency)-Hole Component
Difference in Electron Concentration
Go Difference in Electron Concentration = Electron Concentration 1-Electron Concentration 2
Electron Out of Region
Go Number of Electron Out of Region = Electron Multiplication*Number of Electron in Region
Electron in Region
Go Number of Electron in Region = Number of Electron Out of Region/Electron Multiplication
Electron Multiplication
Go Electron Multiplication = Number of Electron Out of Region/Number of Electron in Region
Total Carrier Current Density
Go Total Carrier Current Density = Electron Current Density +Hole Current Density
Electron Current Density
Go Electron Current Density = Total Carrier Current Density-Hole Current Density
Hole Current Density
Go Hole Current Density = Total Carrier Current Density-Electron Current Density
Mean Time Spend by Hole
Go Mean Time Spend by Hole = Optical Generation Rate*Majority Carrier Decay
Wave Function Amplitude
Go Amplitude of Wave Function = sqrt(2/Potential Well Length)

Mean Free Path Formula

Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time
Le = (Φn/(ΔN))*2*t

Does mean free path increase with temperature?

Mean free path increases with raise 'Temperature'. But, the order of proportionality varies depending on the type of particle. However, raising the temperature would augment the collision rate or the mean free time.

How to Calculate Mean Free Path?

Mean Free Path calculator uses Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time to calculate 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 Le symbol.

How to calculate Mean Free Path using this online calculator? To use this online calculator for Mean Free Path, enter Electron Flux Density n), Difference in Electron Concentration (ΔN) & Time (t) and hit the calculate button. Here is how the Mean Free Path calculation can be explained with given input values -> 2.4E+7 = (0.017/(8000))*2*5.75 .

FAQ

What is Mean Free Path?
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 and is represented as Le = (Φn/(ΔN))*2*t or Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time. 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, Difference in Electron Concentration is defined as the difference between the electron density of two electron & 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.
How to calculate Mean Free Path?
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 is calculated using Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time. To calculate Mean Free Path, you need Electron Flux Density n), Difference in Electron Concentration (ΔN) & Time (t). With our tool, you need to enter the respective value for Electron Flux Density, Difference in Electron Concentration & Time 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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