Velocity of Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])
Vv = 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
Vv = sqrt((2*[Charge-e]*V)/[Mass-e]) --> sqrt((2*[Charge-e]*0.715)/[Mass-e])
Evaluating ... ...
Vv = 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)

Credits

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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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Charge Carrier Characteristics Calculators

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])
Hole Diffusion Length
​ Go Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)

Velocity of Electron Formula

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