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Einstein's Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron
Vt = Dn/µn
This formula uses 2 Variables
Variables Used
Electron Diffusion Constant - Electron Diffusion Constant is a factor determining the Diffusion length of electron. (Measured in Meter² per Second)
Mobility of electron - Mobility of electron is defined as the magnitude of average drift velocity per unit electric field. (Measured in Meter² per Volt 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
Mobility of electron: 100 Meter² per Volt Second --> 100 Meter² per Volt Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vt = Dn/µn --> 22.5/100
Evaluating ... ...
Vt = 0.225
STEP 3: Convert Result to Output's Unit
0.225 Volt --> No Conversion Required
FINAL ANSWER
0.225 Volt <-- Volts-Equivalent of Temperature
(Calculation completed in 00.016 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

Einstein's Equation Formula

voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron
Vt = Dn/µn

What is Einstein's Equation ?

In physics (specifically, the kinetic theory of gases) the Einstein relation (also known as Wright-Sullivan relation) is a previously unexpected connection revealed independently by William Sutherland in 1904 Albert Einstein in 1905, and by Marian Smoluchowski in 1906 in their works on Brownian motion.

How to Calculate Einstein's Equation?

Einstein's Equation calculator uses voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron to calculate the Volts-Equivalent of Temperature, Einstein's Equation is the relation between electron diffusion constant, mobility, and thermal voltage. Volts-Equivalent of Temperature and is denoted by Vt symbol.

How to calculate Einstein's Equation using this online calculator? To use this online calculator for Einstein's Equation, enter Electron Diffusion Constant (Dn) and Mobility of electron n) and hit the calculate button. Here is how the Einstein's Equation calculation can be explained with given input values -> 0.225 = 22.5/100.

FAQ

What is Einstein's Equation?
Einstein's Equation is the relation between electron diffusion constant, mobility, and thermal voltage and is represented as Vt = Dn/µn or voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron. Electron Diffusion Constant is a factor determining the Diffusion length of electron and Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.
How to calculate Einstein's Equation?
Einstein's Equation is the relation between electron diffusion constant, mobility, and thermal voltage is calculated using voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron. To calculate Einstein's Equation, you need Electron Diffusion Constant (Dn) and Mobility of electron n). With our tool, you need to enter the respective value for Electron Diffusion Constant and Mobility of electron 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 Volts-Equivalent of Temperature?
In this formula, Volts-Equivalent of Temperature uses Electron Diffusion Constant and Mobility of electron. 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 Einstein's Equation calculator used?
Among many, Einstein's Equation calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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