Velocity of Electron Calculator

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Charge Carrier Characteristics

Diode Characteristics

Electrostatic Parameters

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✖Voltage is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.ⓘ Voltage [V]

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✖The Velocity due to voltage is the speed of an electron to move around a path with a respective voltage applied.ⓘ Velocity of Electron [V_v]

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Formula

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Velocity of Electron

Formula

`"V"_{"v"} = sqrt((2*"[Charge-e]"*"V")/"[Mass-e]")`

Example

`"501509m/s"=sqrt((2*"[Charge-e]"*"0.715V")/"[Mass-e]")`

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Velocity of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])
V_v = sqrt((2*[Charge-e]*V)/[Mass-e])
This formula uses 2 Constants, 1 Functions, 2 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity due to Voltage - (Measured in Meter per Second) - The Velocity due to voltage is the speed of an electron to move around a path with a respective voltage applied.
Voltage - (Measured in Volt) - Voltage is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

STEP 1: Convert Input(s) to Base Unit

Voltage: 0.715 Volt --> 0.715 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_v = sqrt((2*[Charge-e]*V)/[Mass-e]) --> sqrt((2*[Charge-e]*0.715)/[Mass-e])

Evaluating ... ...

V_v = 501508.986210137

STEP 3: Convert Result to Output's Unit

501508.986210137 Meter per Second --> No Conversion Required

FINAL ANSWER

501508.986210137 ≈ 501509 Meter per Second <-- Velocity due to Voltage

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

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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

Velocity of Electron Formula

Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])
V_v = sqrt((2*[Charge-e]*V)/[Mass-e])

How can we calculate velocity of electron with voltage?

Voltage(V) refers to the potential difference between different points in space within an electric field. With the value of V, we can also calculate the velocity of an electron, by rearranging the equation of conservation of energy i.e eV=(1/2)mv^2

How to Calculate Velocity of Electron?

Velocity of Electron calculator uses Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e]) to calculate the Velocity due to Voltage, The velocity of electron refers to its speed and direction of motion and it is determined by the conservation of energy principle. It essentially says that the change in kinetic energy of the electron is equal to the change in potential energy it experiences due to the electric field. Velocity due to Voltage is denoted by V_v symbol.

How to calculate Velocity of Electron using this online calculator? To use this online calculator for Velocity of Electron, enter Voltage (V) and hit the calculate button. Here is how the Velocity of Electron calculation can be explained with given input values -> 6.6E+6 = sqrt((2*[Charge-e]*0.715)/[Mass-e]).

FAQ

What is Velocity of Electron?

The velocity of electron refers to its speed and direction of motion and it is determined by the conservation of energy principle. It essentially says that the change in kinetic energy of the electron is equal to the change in potential energy it experiences due to the electric field and is represented as V_v = sqrt((2*[Charge-e]*V)/[Mass-e]) or Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e]). Voltage is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

How to calculate Velocity of Electron?

The velocity of electron refers to its speed and direction of motion and it is determined by the conservation of energy principle. It essentially says that the change in kinetic energy of the electron is equal to the change in potential energy it experiences due to the electric field is calculated using Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e]). To calculate Velocity of Electron, you need Voltage (V). With our tool, you need to enter the respective value for Voltage 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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