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Energy of Electron given Coulomb's Constant Formula

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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). Check FAQs

E e = \frac{n^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot [Mass-e] \cdot L^{2}}

E_e - Energy of Electron?n - Quantum Number?L - Potential Well Length?[hP] - Planck constant?[Mass-e] - Mass of electron?π - Archimedes' constant?

Energy of Electron given Coulomb's Constant Example

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Here is how the Energy of Electron given Coulomb's Constant equation looks like with Values.

Here is how the Energy of Electron given Coulomb's Constant equation looks like with Units.

Here is how the Energy of Electron given Coulomb's Constant equation looks like.

121.1842 = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 9.1E-31 \cdot {7E-10}^{2}}

121.1842eV = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 9.1E-31kg \cdot {7E-10}^{2}}

121.1842 = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 9.1E-31 \cdot {7E-10}^{2}}

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Energy of Electron given Coulomb's Constant Solution

Follow our step by step solution on how to calculate Energy of Electron given Coulomb's Constant?

FIRST Step Consider the formula

E e = \frac{n^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot [Mass-e] \cdot L^{2}}

Next Step Substitute values of Variables

∴

E e = \frac{2^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot [Mass-e] \cdot {7E-10}^{2}}

Next Step Substitute values of Constants

∴

E e = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 9.1E-31kg \cdot {7E-10}^{2}}

Next Step Prepare to Evaluate

∴

E e = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 9.1E-31 \cdot {7E-10}^{2}}

Next Step Evaluate

∴

E e = 1.94158637902434E-17J

Next Step Convert to Output's Unit

∴

E e = 121.184237391771eV

LAST Step Rounding Answer

∴

E e = 121.1842eV

Energy of Electron given Coulomb's Constant Formula Elements

Variables

Constants

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).

Symbol: E_e

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Energy of Electron

Quantum Number

Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Potential Well Length

Potential Well length is the distance from electron where potential well length is equal to infinite.

Symbol: L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Potential Well Length

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Energy Band and Charge Carrier category

Go Energy Gap

E g = E c - E v

Go Valence Band Energy

E v = E c - E g

Go Steady State Electron Concentration

n ss = n 0 + δ n

Go Photoelectron Energy

E photo = [hP] \cdot f

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

Energy of Electron given Coulomb's Constant evaluator uses Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2) to evaluate 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 evaluate Energy of Electron given Coulomb's Constant using this online evaluator? To use this online evaluator for Energy of Electron given Coulomb's Constant, enter Quantum Number (n) & Potential Well Length (L) and hit the calculate button.

FAQs on Energy of Electron given Coulomb's Constant

What is the formula to find Energy of Electron given Coulomb's Constant?

The formula of Energy of Electron given Coulomb's Constant is expressed as Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2). Here is an example- 7.6E+20 = (2^2*pi^2*[hP]^2)/(2*[Mass-e]*7E-10^2).

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

With Quantum Number (n) & Potential Well Length (L) we can find Energy of Electron given Coulomb's Constant using the formula - Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2). This formula also uses Planck constant, Mass of electron, Archimedes' constant .

Can the Energy of Electron given Coulomb's Constant be negative?

No, the Energy of Electron given Coulomb's Constant, measured in Energy cannot be negative.

Which unit is used to measure Energy of Electron given Coulomb's Constant?

Energy of Electron given Coulomb's Constant is usually measured using the Electron-Volt[eV] for Energy. Joule[eV], Kilojoule[eV], Gigajoule[eV] are the few other units in which Energy of Electron given Coulomb's Constant can be measured.

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