Plasma Frequency Calculator

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✖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.ⓘ DC Electron Charge Density [ρ_o]

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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.ⓘ Plasma Frequency [f_p]

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Formula

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Plasma Frequency

Formula

`"f"_{"p"} = sqrt(("[Charge-e]"*"ρ"_{"o"})/("[Mass-e]"*"[Permitivity-vacuum]"))`

Example

`"1.4E^6rad/s"=sqrt(("[Charge-e]"*"10e-11C/m³")/("[Mass-e]"*"[Permitivity-vacuum]"))`

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Plasma Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum]))
f_p = sqrt(([Charge-e]*ρ_o)/([Mass-e]*[Permitivity-vacuum]))
This formula uses 3 Constants, 1 Functions, 2 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12 Farad / Meter
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19 Coulomb
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31 Kilogram

Functions Used

sqrt - Square root function, sqrt(Number)

Variables Used

Plasma Frequency - (Measured in Radian per Second) - 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.
DC Electron Charge Density - (Measured in Coulomb per Cubic Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

DC Electron Charge Density: 1E-10 Coulomb per Cubic Meter --> 1E-10 Coulomb per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_p = sqrt(([Charge-e]*ρ_o)/([Mass-e]*[Permitivity-vacuum])) --> sqrt(([Charge-e]*1E-10)/([Mass-e]*[Permitivity-vacuum]))

Evaluating ... ...

f_p = 1409740.13822234

STEP 3: Convert Result to Output's Unit

1409740.13822234 Radian per Second --> No Conversion Required

FINAL ANSWER

1409740.13822234 ≈ 1.4E+6 Radian per Second <-- Plasma Frequency

(Calculation completed in 00.003 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 2100+ more calculators!

< 9 Beam Tube Calculators

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Go Reduced Plasma Frequency = Plasma Frequency*Space Charge Reduction Factor

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Plasma Frequency Formula

Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum]))
f_p = sqrt(([Charge-e]*ρ_o)/([Mass-e]*[Permitivity-vacuum]))

What is Plasma Density?

The term Plasma Density refers to the concentration or count of ionized gas particles in a given volume.

How to Calculate Plasma Frequency?

Plasma Frequency calculator uses Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum])) to calculate 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 calculate Plasma Frequency using this online calculator? To use this online calculator for Plasma Frequency, enter DC Electron Charge Density (ρ_o) and hit the calculate button. Here is how the Plasma Frequency calculation can be explained with given input values -> 1.4E+6 = sqrt(([Charge-e]*1E-10)/([Mass-e]*[Permitivity-vacuum])).

FAQ

What is 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 and is represented as f_p = sqrt(([Charge-e]*ρ_o)/([Mass-e]*[Permitivity-vacuum])) or Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum])). 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.

How to calculate 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 is calculated using Plasma Frequency = sqrt(([Charge-e]*DC Electron Charge Density)/([Mass-e]*[Permitivity-vacuum])). To calculate Plasma Frequency, you need DC Electron Charge Density (ρ_o). With our tool, you need to enter the respective value for DC Electron Charge Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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