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Plasma Frequency Formula

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Plasma frequency is the frequency at which the response of a plasma is dominated by the motion of free electrons, rather than by the slower motion of ions or other species in the plasma. Check FAQs

f p = \sqrt{\frac{[Charge-e] \cdot ρ o}{[Mass-e] \cdot [Permitivity-vacuum]}}

f_p - Plasma Frequency?ρ_o - DC Electron Charge Density?[Charge-e] - Charge of electron?[Mass-e] - Mass of electron?[Permitivity-vacuum] - Permittivity of vacuum?

Plasma Frequency Example

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Here is how the Plasma Frequency equation looks like with Values.

Here is how the Plasma Frequency equation looks like with Units.

Here is how the Plasma Frequency equation looks like.

1.4E+6 = \sqrt{\frac{1.6E-19 \cdot 1E-10}{9.1E-31 \cdot 8.9E-12}}

1.4E+6rad/s = \sqrt{\frac{1.6E-19C \cdot 1E-10C/m³}{9.1E-31kg \cdot 8.9E-12F/m}}

1.4E+6 = \sqrt{\frac{1.6E-19 \cdot 1E-10}{9.1E-31 \cdot 8.9E-12}}

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Plasma Frequency Solution

Follow our step by step solution on how to calculate Plasma Frequency?

FIRST Step Consider the formula

f p = \sqrt{\frac{[Charge-e] \cdot ρ o}{[Mass-e] \cdot [Permitivity-vacuum]}}

Next Step Substitute values of Variables

∴

f p = \sqrt{\frac{[Charge-e] \cdot 1E-10C/m³}{[Mass-e] \cdot [Permitivity-vacuum]}}

Next Step Substitute values of Constants

∴

f p = \sqrt{\frac{1.6E-19C \cdot 1E-10C/m³}{9.1E-31kg \cdot 8.9E-12F/m}}

Next Step Prepare to Evaluate

∴

f p = \sqrt{\frac{1.6E-19 \cdot 1E-10}{9.1E-31 \cdot 8.9E-12}}

Next Step Evaluate

∴

f p = 1409740.13822234rad/s

LAST Step Rounding Answer

∴

f p = 1.4E+6rad/s

Plasma Frequency Formula Elements

Variables

Constants

Functions

Plasma Frequency

Plasma frequency is the frequency at which the response of a plasma is dominated by the motion of free electrons, rather than by the slower motion of ions or other species in the plasma.

Symbol: f_p

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Plasma Frequency

DC Electron Charge Density

DC Electron Charge Density refers to the measure of the density of free electrons in a material or a medium in a steady state or DC (direct current) condition.

Symbol: ρ_o

Measurement: Volume Charge DensityUnit: C/m³

Note: Value should be greater than 0.

Formulas to find DC Electron Charge Density

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

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

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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How to Evaluate Plasma Frequency?

Plasma Frequency evaluator uses Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum])) to evaluate the Plasma Frequency, The Plasma frequency formula is defined as the frequency at which the response of a plasma is dominated by the motion of free electrons, rather than by the slower motion of ions or other species in the plasma. Plasma Frequency is denoted by f_p symbol.

How to evaluate Plasma Frequency using this online evaluator? To use this online evaluator for Plasma Frequency, enter DC Electron Charge Density (ρ_o) and hit the calculate button.

FAQs on Plasma Frequency

What is the formula to find Plasma Frequency?

The formula of Plasma Frequency is expressed as Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum])). Here is an example- 1.4E+6 = sqrt(([Charge-e]*1E-10)/([Mass-e]*[Permitivity-vacuum])).

How to calculate Plasma Frequency?

With DC Electron Charge Density (ρ_o) we can find Plasma Frequency using the formula - Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum])). This formula also uses Charge of electron, Mass of electron, Permittivity of vacuum constant(s) and Square Root (sqrt) function(s).

Can the Plasma Frequency be negative?

No, the Plasma Frequency, measured in Angular Frequency cannot be negative.

Which unit is used to measure Plasma Frequency?

Plasma Frequency is usually measured using the Radian per Second[rad/s] for Angular Frequency. Degree per Second[rad/s] are the few other units in which Plasma Frequency can be measured.

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