Thermal Voltage using Einstein's Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Voltage = Electron Diffusion Constant/Mobility of Electron
Vt = Dn/μn
This formula uses 3 Variables
Variables Used
Thermal Voltage - (Measured in Volt) - Thermal Voltage is generated across a resistor due to its temperature. It is proportional to the absolute temperature of the resistor and is typically very small.
Electron Diffusion Constant - (Measured in Square Meter Per Second) - Electron Diffusion Constant refers to a material property that describes the rate at which electrons diffuse through the material in response to a concentration gradient.
Mobility of Electron - (Measured in Square Meter per Volt per Second) - Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.
STEP 1: Convert Input(s) to Base Unit
Electron Diffusion Constant: 44982.46 Square Centimeter Per Second --> 4.498246 Square Meter Per Second (Check conversion here)
Mobility of Electron: 180 Square Meter per Volt per Second --> 180 Square Meter per Volt per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vt = Dnn --> 4.498246/180
Evaluating ... ...
Vt = 0.0249902555555556
STEP 3: Convert Result to Output's Unit
0.0249902555555556 Volt --> No Conversion Required
FINAL ANSWER
0.0249902555555556 0.02499 Volt <-- Thermal Voltage
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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16 Charge Carrier Characteristics Calculators

Intrinsic Concentration
Go Intrinsic Carrier Concentration = sqrt(Effective Density in Valence Band*Effective Density in Conduction Band)*e^((-Temperature Dependence of Energy Band Gap)/(2*[BoltZ]*Temperature))
Electrostatic Deflection Sensitivity of CRT
Go Electrostatic Deflection Sensitivity = (Distance between Deflecting Plates*Screen and Deflecting Plates Distance)/(2*Deflection of Beam*Electron Velocity)
Current Density due to Electrons
Go Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity
Current Density due to Holes
Go Holes Current Density = [Charge-e]*Holes Concentration*Mobility of Holes*Electric Field Intensity
Electrons Diffusion Constant
Go Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e])
Holes Diffusion Constant
Go Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e])
Intrinsic Carrier Concentration under Non-Equilibrium Conditions
Go Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration)
Force on Current Element in Magnetic Field
Go Force = Current Element*Magnetic Flux Density*sin(Angle between Planes)
Velocity of Electron
Go Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])
Time Period of Electron
Go Period of Particle Circular Path = (2*3.14*[Mass-e])/(Magnetic Field Strength*[Charge-e])
Hole Diffusion Length
Go Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)
Conductivity in Metals
Go Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron
Velocity of Electron in Force Fields
Go Velocity of Electron in Force Fields = Electric Field Intensity/Magnetic Field Strength
Thermal Voltage
Go Thermal Voltage = [BoltZ]*Temperature/[Charge-e]
Thermal Voltage using Einstein's Equation
Go Thermal Voltage = Electron Diffusion Constant/Mobility of Electron
Convection Current Density
Go Convection Current Density = Charge Density*Charge Velocity

Thermal Voltage using Einstein's Equation Formula

Thermal Voltage = Electron Diffusion Constant/Mobility of Electron
Vt = Dn/μn

What is the significance of Einstein's Equation ?

Einstein's equation is fundamental in understanding the interaction of electrons with materials, the conversion of mass to energy (as in nuclear processes), and the basis for the theory of relativity, all of which have profound implications in the study and design of electronic devices and circuits.

How to Calculate Thermal Voltage using Einstein's Equation?

Thermal Voltage using Einstein's Equation calculator uses Thermal Voltage = Electron Diffusion Constant/Mobility of Electron to calculate the Thermal Voltage, Thermal Voltage using Einstein's Equation formula is used to calculate the thermal voltage using how fast particles spread to their ability to move under an electric field (mobility, μ). Thermal Voltage is denoted by Vt symbol.

How to calculate Thermal Voltage using Einstein's Equation using this online calculator? To use this online calculator for Thermal Voltage using Einstein's Equation, enter Electron Diffusion Constant (Dn) & Mobility of Electron n) and hit the calculate button. Here is how the Thermal Voltage using Einstein's Equation calculation can be explained with given input values -> 0.02499 = 4.498246/180.

FAQ

What is Thermal Voltage using Einstein's Equation?
Thermal Voltage using Einstein's Equation formula is used to calculate the thermal voltage using how fast particles spread to their ability to move under an electric field (mobility, μ) and is represented as Vt = Dnn or Thermal Voltage = Electron Diffusion Constant/Mobility of Electron. Electron Diffusion Constant refers to a material property that describes the rate at which electrons diffuse through the material in response to a concentration gradient & Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.
How to calculate Thermal Voltage using Einstein's Equation?
Thermal Voltage using Einstein's Equation formula is used to calculate the thermal voltage using how fast particles spread to their ability to move under an electric field (mobility, μ) is calculated using Thermal Voltage = Electron Diffusion Constant/Mobility of Electron. To calculate Thermal Voltage using Einstein's Equation, you need Electron Diffusion Constant (Dn) & Mobility of Electron n). With our tool, you need to enter the respective value for Electron Diffusion Constant & 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 Thermal Voltage?
In this formula, Thermal Voltage uses Electron Diffusion Constant & Mobility of Electron. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thermal Voltage = [BoltZ]*Temperature/[Charge-e]
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