Einstein's Equation Calculator

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✖Electron Diffusion Constant is a factor determining the Diffusion length of electron.ⓘ Electron Diffusion Constant [D_n]			+10% -10%
✖Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.ⓘ Mobility of electron [µ_n]			+10% -10%

✖The volts-equivalent of temperature is the voltage produced within the P-N junction due to the action of temperature. It is also called thermal voltage.ⓘ Einstein's Equation [V_t]

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Credits

Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 500+ more calculators!

Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1000+ more calculators!

Einstein's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron
V_t = D_n/µ_n
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

V_t = D_n/µ_n --> 22.5/100

Evaluating ... ...

V_t = 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)

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< 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
V_t = D_n/µ_n

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 V_t symbol.

How to calculate Einstein's Equation using this online calculator? To use this online calculator for Einstein's Equation, enter Electron Diffusion Constant (D_n) and Mobility of electron (µ_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 V_t = D_n/µ_n 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 (D_n) and Mobility of electron (µ_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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