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Electron diffusion length in terms of relaxation time Solution

STEP 0: Pre-Calculation Summary
Formula Used
electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time)
Ln = sqrt(Dn*𝛕)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Electron Diffusion Constant - Electron Diffusion Constant is a factor determining the Diffusion length of electron. (Measured in Meter² per Second)
Relaxation time - Relaxation time is the time in which the particle does not collide with any other particle. (Measured in Second)
STEP 1: Convert Input(s) to Base Unit
Electron Diffusion Constant: 22.5 Meter² per Second --> 22.5 Meter² per Second No Conversion Required
Relaxation time: 1 Second --> 1 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ln = sqrt(Dn*𝛕) --> sqrt(22.5*1)
Evaluating ... ...
Ln = 4.74341649025257
STEP 3: Convert Result to Output's Unit
4.74341649025257 Meter -->474.341649025257 Centimeter (Check conversion here)
FINAL ANSWER
474.341649025257 Centimeter <-- Electron Diffusion Length
(Calculation completed in 00.008 seconds)

10+ Basic Electronics Calculators

Conductivity in semiconductors in terms of mobility of electrons and holes
conductivity = Concentration of electrons in the conduction band*[Charge-e]*Mobility of holes+Majority carrier electron concentration*[Charge-e]*Mobility of electron Go
Intrinsic concentration
intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature))) Go
Conductivity of extrinsic semiconductor for p-type
conductivity_of_extrinsic_semiconductors_n_type = Acceptor concentration*[Charge-e]*Mobility of electron Go
Conductivity of extrinsic semiconductors for n-type
conductivity_of_extrinsic_semiconductors_p_type = Donor concentration*[Charge-e]*Mobility of holes Go
Majority carrier concentration in a Semiconductor
majority_carrier_electron_concentration = (Intrinsic carrier concentration)^2/Minority carrier concentration Go
Electron diffusion length in terms of relaxation time
electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time) Go
Conductivity in metals in terms of number of electrons
conductivity = Number of Electrons*Mobility of electron*[Charge-e] Go
Einstein's Equation
voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron Go
Mobility of a charge carriers
mobility_of_charge_carriers = Drift Velocity/Electric field intensity Go
Thermal Voltage or voltage equivalent of temperature
thermal_voltage = Temperature/11600 Go

Electron diffusion length in terms of relaxation time Formula

electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time)
Ln = sqrt(Dn*𝛕)

Explain electron diffusion length.

Diffusion length is the average length a carrier moves between generation and recombination. Semiconductor materials that are heavily doped have greater recombination rates and consequently, have shorter diffusion lengths. Higher diffusion lengths are indicative of materials with longer lifetimes and are, therefore, an important quality to consider with semiconductor materials.

How to Calculate Electron diffusion length in terms of relaxation time?

Electron diffusion length in terms of relaxation time calculator uses electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time) to calculate the Electron Diffusion Length, The Electron diffusion length in terms of relaxation time is proportional to the square root of the mobility and carrier lifetime. Electron Diffusion Length and is denoted by Ln symbol.

How to calculate Electron diffusion length in terms of relaxation time using this online calculator? To use this online calculator for Electron diffusion length in terms of relaxation time, enter Electron Diffusion Constant (Dn) and Relaxation time (𝛕) and hit the calculate button. Here is how the Electron diffusion length in terms of relaxation time calculation can be explained with given input values -> 474.3416 = sqrt(22.5*1).

FAQ

What is Electron diffusion length in terms of relaxation time?
The Electron diffusion length in terms of relaxation time is proportional to the square root of the mobility and carrier lifetime and is represented as Ln = sqrt(Dn*𝛕) or electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time). Electron Diffusion Constant is a factor determining the Diffusion length of electron and Relaxation time is the time in which the particle does not collide with any other particle.
How to calculate Electron diffusion length in terms of relaxation time?
The Electron diffusion length in terms of relaxation time is proportional to the square root of the mobility and carrier lifetime is calculated using electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time). To calculate Electron diffusion length in terms of relaxation time, you need Electron Diffusion Constant (Dn) and Relaxation time (𝛕). With our tool, you need to enter the respective value for Electron Diffusion Constant and Relaxation time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Electron Diffusion Length?
In this formula, Electron Diffusion Length uses Electron Diffusion Constant and Relaxation time. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • thermal_voltage = Temperature/11600
  • mobility_of_charge_carriers = Drift Velocity/Electric field intensity
  • majority_carrier_electron_concentration = (Intrinsic carrier concentration)^2/Minority carrier concentration
  • intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature)))
  • voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron
  • electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time)
  • conductivity = Number of Electrons*Mobility of electron*[Charge-e]
  • conductivity = Concentration of electrons in the conduction band*[Charge-e]*Mobility of holes+Majority carrier electron concentration*[Charge-e]*Mobility of electron
  • conductivity_of_extrinsic_semiconductors_p_type = Donor concentration*[Charge-e]*Mobility of holes
  • conductivity_of_extrinsic_semiconductors_n_type = Acceptor concentration*[Charge-e]*Mobility of electron
Where is the Electron diffusion length in terms of relaxation time calculator used?
Among many, Electron diffusion length in terms of relaxation time calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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