Energy of Electron given Coulomb's Constant Calculator

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✖Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.ⓘ Quantum Number [n]			+10% -10%
✖Potential Well length is the distance from electron where potential well length is equal to infinite.ⓘ Potential Well Length [L]			+10% -10%

✖Energy of electron is sum of kinetic energy(required to jump between orbits) and potential energy (product of the electrostatic force and the distance between the charges).ⓘ Energy of Electron given Coulomb's Constant [E_e]

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Formula

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Energy of Electron given Coulomb's Constant

Formula

`"E"_{"e"} = ("n"^2*pi^2*"[hP]"^2)/(2*"[Mass-e]"*"L"^2)`

Example

`"121.1842eV"=(("2")^2*pi^2*"[hP]"^2)/(2*"[Mass-e]"*("7e-10")^2)`

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Energy of Electron given Coulomb's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2)
E_e = (n^2*pi^2*[hP]^2)/(2*[Mass-e]*L^2)
This formula uses 3 Constants, 3 Variables

Constants Used

[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Energy of Electron - (Measured in Joule) - Energy of electron is sum of kinetic energy(required to jump between orbits) and potential energy (product of the electrostatic force and the distance between the charges).
Quantum Number - Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.
Potential Well Length - Potential Well length is the distance from electron where potential well length is equal to infinite.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 2 --> No Conversion Required
Potential Well Length: 7E-10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_e = (n^2*pi^2*[hP]^2)/(2*[Mass-e]*L^2) --> (2^2*pi^2*[hP]^2)/(2*[Mass-e]*7E-10^2)

Evaluating ... ...

E_e = 1.94158637902434E-17

STEP 3: Convert Result to Output's Unit

1.94158637902434E-17 Joule -->121.184237391771 Electron-Volt (Check conversion here)

FINAL ANSWER

121.184237391771 ≈ 121.1842 Electron-Volt <-- Energy of Electron

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Solid State Devices » Energy Band & Charge Carrier » Energy of Electron given Coulomb's Constant

Credits

Created by Yada Sai Pranay

Indian Institute of Information Technology Design and Manufacturing ((IIIT D&M Kancheepuram)), Chennai

Yada Sai Pranay has created this Calculator and 4 more calculators!

Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

Saiju Shah has verified this Calculator and 25+ more calculators!

< 20 Energy Band & Charge Carrier Calculators

Intrinsic Carrier Concentration

Go Intrinsic Carrier Concentration = sqrt(Effective Density of State in Valence Band*Effective Density of State in Conduction Band)*exp(-Energy Gap/(2*[BoltZ]*Temperature))

Carrier Lifetime

Go Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band))

Energy of Electron given Coulomb's Constant

Go Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2)

Steady State Electron Concentration

Go Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration

Concentration in Conduction Band

Go Electron Concentration in Conduction Band = Effective Density of State in Conduction Band*Fermi Function

Effective Density of State

Go Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function

Fermi Function

Go Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band

Effective Density State in Valence Band

Go Effective Density of State in Valence Band = Holes Concentration in Valance Band/(1-Fermi Function)

Concentration of Holes in Valence Band

Go Holes Concentration in Valance Band = Effective Density of State in Valence Band*(1-Fermi Function)

Recombination Lifetime

Go Recombination Lifetime = (Proportionality for Recombination*Holes Concentration in Valance Band)^-1

Distribution Coefficient

Go Distribution Coefficient = Impurity Concentration in Solid/Impurity Concentration in Liquid

Liquid Concentration

Go Impurity Concentration in Liquid = Impurity Concentration in Solid/Distribution Coefficient

Net Rate of Change in Conduction Band

Go Proportionality for Recombination = Thermal Generation/(Intrinsic Carrier Concentration^2)

Thermal Generation Rate

Go Thermal Generation = Proportionality for Recombination*(Intrinsic Carrier Concentration^2)

Excess Carrier Concentration

Go Excess Carrier Concentration = Optical Generation Rate*Recombination Lifetime

Optical Generation Rate

Go Optical Generation Rate = Excess Carrier Concentration/Recombination Lifetime

Photoelectron Energy

Go Photoelectron Energy = [hP]*Frequency of Incident Light

Conduction Band Energy

Go Conduction Band Energy = Energy Gap+Valence Band Energy

Valence Band Energy

Go Valence Band Energy = Conduction Band Energy-Energy Gap

Energy Gap

Go Energy Gap = Conduction Band Energy-Valence Band Energy

Energy of Electron given Coulomb's Constant Formula

Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2)
E_e = (n^2*pi^2*[hP]^2)/(2*[Mass-e]*L^2)

Coulomb's Constant

The Coulomb constant, the electric force constant, or the electrostatic constant is a proportionality constant in electrostatics equations. The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force.

Energy of Electron

Energy of electron is sum of kinetic energy(required to jump between orbits) and potential energy (product of the electrostatic force and the distance between the charges).

How to Calculate Energy of Electron given Coulomb's Constant?

Energy of Electron given Coulomb's Constant calculator uses Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2) to calculate the Energy of Electron, Energy of Electron given Coulomb's Constant is calculated when planks constant and Mass of electron are given. Energy of Electron is denoted by E_e symbol.

How to calculate Energy of Electron given Coulomb's Constant using this online calculator? To use this online calculator for Energy of Electron given Coulomb's Constant, enter Quantum Number (n) & Potential Well Length (L) and hit the calculate button. Here is how the Energy of Electron given Coulomb's Constant calculation can be explained with given input values -> 7.6E+20 = (2^2*pi^2*[hP]^2)/(2*[Mass-e]*7E-10^2).

FAQ

What is Energy of Electron given Coulomb's Constant?

Energy of Electron given Coulomb's Constant is calculated when planks constant and Mass of electron are given and is represented as E_e = (n^2*pi^2*[hP]^2)/(2*[Mass-e]*L^2) or Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2). Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system & Potential Well length is the distance from electron where potential well length is equal to infinite.

How to calculate Energy of Electron given Coulomb's Constant?

Energy of Electron given Coulomb's Constant is calculated when planks constant and Mass of electron are given is calculated using Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2). To calculate Energy of Electron given Coulomb's Constant, you need Quantum Number (n) & Potential Well Length (L). With our tool, you need to enter the respective value for Quantum Number & Potential Well Length 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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