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Potential given de Broglie Wavelength Formula

GoPotential given de Broglie Wavelength of Electron Formula

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Electric potential difference, also known as voltage, is the external work needed to bring a charge from one location to another location in an electric field. Check FAQs

V = \frac{{[hP]}^{2}}{2 \cdot [Charge-e] \cdot m \cdot (λ^{2})}

V - Electric Potential Difference?m - Mass of Moving Electron?λ - Wavelength?[hP] - Planck constant?[Charge-e] - Charge of electron?

Potential given de Broglie Wavelength Example

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Here is how the Potential given de Broglie Wavelength equation looks like with Values.

Here is how the Potential given de Broglie Wavelength equation looks like with Units.

Here is how the Potential given de Broglie Wavelength equation looks like.

0.0027 = \frac{{6.6E-34}^{2}}{2 \cdot 1.6E-19 \cdot 0.07 \cdot ({2.1}^{2})}

0.0027V = \frac{{6.6E-34}^{2}}{2 \cdot 1.6E-19C \cdot 0.07Dalton \cdot ({2.1nm}^{2})}

0.0027 = \frac{{6.6E-34}^{2}}{2 \cdot 1.6E-19 \cdot 0.07 \cdot ({2.1}^{2})}

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Potential given de Broglie Wavelength Solution

Follow our step by step solution on how to calculate Potential given de Broglie Wavelength?

FIRST Step Consider the formula

V = \frac{{[hP]}^{2}}{2 \cdot [Charge-e] \cdot m \cdot (λ^{2})}

Next Step Substitute values of Variables

∴

V = \frac{{[hP]}^{2}}{2 \cdot [Charge-e] \cdot 0.07Dalton \cdot ({2.1nm}^{2})}

Next Step Substitute values of Constants

∴

V = \frac{{6.6E-34}^{2}}{2 \cdot 1.6E-19C \cdot 0.07Dalton \cdot ({2.1nm}^{2})}

Next Step Convert Units

∴

V = \frac{{6.6E-34}^{2}}{2 \cdot 1.6E-19C \cdot 1.2E-28kg \cdot ({2.1E-9m}^{2})}

Next Step Prepare to Evaluate

∴

V = \frac{{6.6E-34}^{2}}{2 \cdot 1.6E-19 \cdot 1.2E-28 \cdot ({2.1E-9}^{2})}

Next Step Evaluate

∴

V = 0.00267293441749873V

LAST Step Rounding Answer

∴

V = 0.0027V

Potential given de Broglie Wavelength Formula Elements

Variables

Constants

Electric Potential Difference

Electric potential difference, also known as voltage, is the external work needed to bring a charge from one location to another location in an electric field.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Electric Potential Difference

Mass of Moving Electron

Mass of Moving Electron is the mass of an electron, moving with some velocity.

Symbol: m

Measurement: WeightUnit: Dalton

Note: Value can be positive or negative.

Formulas to find Mass of Moving Electron

Wavelength

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ

Measurement: WavelengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Wavelength

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

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Other Formulas to find Electric Potential Difference

Go Potential given de Broglie Wavelength of Electron

V = \frac{{12.27}^{2}}{λ^{2}}

Other formulas in De Broglie Hypothesis category

Go De Broglie Wavelength of Particle in Circular Orbit

λ CO = \frac{2 \cdot π \cdot r orbit}{n quantum}

Go Number of Revolutions of Electron

n sec = \frac{v e}{2 \cdot π \cdot r orbit}

Go Relation between de Broglie Wavelength and Kinetic Energy of Particle

λ = \frac{[hP]}{\sqrt{2 \cdot KE \cdot m}}

Go De Broglie Wavelength of Charged Particle given Potential

λ P = \frac{[hP]}{2 \cdot [Charge-e] \cdot V \cdot m}

How to Evaluate Potential given de Broglie Wavelength?

Potential given de Broglie Wavelength evaluator uses Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2)) to evaluate the Electric Potential Difference, The Potential given de Broglie wavelength formula is associated with a particle/electron and is related to its mass, m and de-Broglie wavelength through the Planck constant, h. Electric Potential Difference is denoted by V symbol.

How to evaluate Potential given de Broglie Wavelength using this online evaluator? To use this online evaluator for Potential given de Broglie Wavelength, enter Mass of Moving Electron (m) & Wavelength (λ) and hit the calculate button.

FAQs on Potential given de Broglie Wavelength

What is the formula to find Potential given de Broglie Wavelength?

The formula of Potential given de Broglie Wavelength is expressed as Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2)). Here is an example- 0.002673 = ([hP]^2)/(2*[Charge-e]*1.16237100006849E-28*(2.1E-09^2)).

How to calculate Potential given de Broglie Wavelength?

With Mass of Moving Electron (m) & Wavelength (λ) we can find Potential given de Broglie Wavelength using the formula - Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2)). This formula also uses Planck constant, Charge of electron constant(s).

What are the other ways to Calculate Electric Potential Difference?

Here are the different ways to Calculate Electric Potential Difference-

Electric Potential Difference=(12.27^2)/(Wavelength^2)

Can the Potential given de Broglie Wavelength be negative?

Yes, the Potential given de Broglie Wavelength, measured in Electric Potential can be negative.

Which unit is used to measure Potential given de Broglie Wavelength?

Potential given de Broglie Wavelength is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Potential given de Broglie Wavelength can be measured.

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Potential given de Broglie Wavelength Formula

​GoPotential given de Broglie Wavelength of Electron Formula

Potential given de Broglie Wavelength Example

Potential given de Broglie Wavelength Solution

Potential given de Broglie Wavelength Formula Elements

Other Formulas to find Electric Potential Difference

Other formulas in De Broglie Hypothesis category

How to Evaluate Potential given de Broglie Wavelength?

FAQs on Potential given de Broglie Wavelength

Variable Name

GoPotential given de Broglie Wavelength of Electron Formula