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Potential given de Broglie Wavelength of Electron Calculator

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

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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.ⓘ Potential given de Broglie Wavelength of Electron [V]

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Formula

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Potential given de Broglie Wavelength of Electron

Formula

V = \frac{{12.27}^{2}}{λ^{2}}

Example

3.4E+19 V = \frac{{12.27}^{2}}{{2.1 nm}^{2}}

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Potential given de Broglie Wavelength of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Potential Difference = (12.27^2)/(Wavelength^2)
V = (12.27^2)/(λ^2)
This formula uses 2 Variables

Variables Used

Electric Potential Difference - (Measured in Volt) - 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.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (12.27^2)/(λ^2) --> (12.27^2)/(2.1E-09^2)

Evaluating ... ...

V = 3.41389795918367E+19

STEP 3: Convert Result to Output's Unit

3.41389795918367E+19 Volt --> No Conversion Required

FINAL ANSWER

3.41389795918367E+19 ≈ 3.4E+19 Volt <-- Electric Potential Difference

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< De Broglie Hypothesis Calculators

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De Broglie Wavelength of Particle in Circular Orbit

Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number

Potential given de Broglie Wavelength of Electron Formula

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

What is de Broglie's hypothesis of matter waves?

Louis de Broglie proposed a new speculative hypothesis that electrons and other particles of matter can behave like waves. According to de Broglie’s hypothesis, massless photons, as well as massive particles, must satisfy one common set of relations that connect the energy E with the frequency f, and the linear momentum p with the de- Broglie wavelength.

How to Calculate Potential given de Broglie Wavelength of Electron?

Potential given de Broglie Wavelength of Electron calculator uses Electric Potential Difference = (12.27^2)/(Wavelength^2) to calculate the Electric Potential Difference, The Potential given de Broglie wavelength of electron is associated with a particle/electron and is related to its de-Broglie wavelength with the further calculated value of constants. Electric Potential Difference is denoted by V symbol.

How to calculate Potential given de Broglie Wavelength of Electron using this online calculator? To use this online calculator for Potential given de Broglie Wavelength of Electron, enter Wavelength (λ) and hit the calculate button. Here is how the Potential given de Broglie Wavelength of Electron calculation can be explained with given input values -> 3.4E+19 = (12.27^2)/(2.1E-09^2).

FAQ

What is Potential given de Broglie Wavelength of Electron?

The Potential given de Broglie wavelength of electron is associated with a particle/electron and is related to its de-Broglie wavelength with the further calculated value of constants and is represented as V = (12.27^2)/(λ^2) or Electric Potential Difference = (12.27^2)/(Wavelength^2). Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

How to calculate Potential given de Broglie Wavelength of Electron?

The Potential given de Broglie wavelength of electron is associated with a particle/electron and is related to its de-Broglie wavelength with the further calculated value of constants is calculated using Electric Potential Difference = (12.27^2)/(Wavelength^2). To calculate Potential given de Broglie Wavelength of Electron, you need Wavelength (λ). With our tool, you need to enter the respective value for Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Electric Potential Difference?

In this formula, Electric Potential Difference uses Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2))

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