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Potential given de Broglie Wavelength Calculator

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✖Mass of Moving Electron is the mass of an electron, moving with some velocity.ⓘ Mass of Moving Electron [m]			+10% -10%
✖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]			+10% -10%

✖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 [V]

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Formula

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Potential given de Broglie Wavelength

Formula

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

Example

0.002673 V = \frac{{[hP]}^{2}}{2 \cdot [Charge-e] \cdot 0.07 Dalton \cdot ({2.1 nm}^{2})}

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Potential given de Broglie Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2))
V = ([hP]^2)/(2*[Charge-e]*m*(λ^2))
This formula uses 2 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34

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.
Mass of Moving Electron - (Measured in Kilogram) - Mass of Moving Electron is the mass of an electron, moving with some velocity.
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

Mass of Moving Electron: 0.07 Dalton --> 1.16237100006849E-28 Kilogram (Check conversion here)
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ([hP]^2)/(2*[Charge-e]*m*(λ^2)) --> ([hP]^2)/(2*[Charge-e]*1.16237100006849E-28*(2.1E-09^2))

Evaluating ... ...

V = 0.00267293441749873

STEP 3: Convert Result to Output's Unit

0.00267293441749873 Volt --> No Conversion Required

FINAL ANSWER

0.00267293441749873 ≈ 0.002673 Volt <-- Electric Potential Difference

(Calculation completed in 00.004 seconds)

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< De Broglie Hypothesis Calculators

De Broglie Wavelength of Charged Particle given Potential

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

Relation between de Broglie Wavelength and Kinetic Energy of Particle

Go Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)

Number of Revolutions of Electron

Go Revolutions per Sec = Velocity of Electron/(2*pi*Radius of Orbit)

De Broglie Wavelength of Particle in Circular Orbit

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

Potential given de Broglie Wavelength Formula

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

Potential given de Broglie Wavelength calculator uses Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2)) to calculate 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 calculate Potential given de Broglie Wavelength using this online calculator? To use this online calculator for Potential given de Broglie Wavelength, enter Mass of Moving Electron (m) & Wavelength (λ) and hit the calculate button. Here is how the Potential given de Broglie Wavelength calculation can be explained with given input values -> 0.002673 = ([hP]^2)/(2*[Charge-e]*1.16237100006849E-28*(2.1E-09^2)).

FAQ

What is Potential given de Broglie Wavelength?

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 and is represented as V = ([hP]^2)/(2*[Charge-e]*m*(λ^2)) or Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2)). Mass of Moving Electron is the mass of an electron, moving with some velocity & 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?

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 is calculated using Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2)). To calculate Potential given de Broglie Wavelength, you need Mass of Moving Electron (m) & Wavelength (λ). With our tool, you need to enter the respective value for Mass of Moving Electron & 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 Mass of Moving Electron & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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