Reduced Plasma Frequency Calculator

✖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]			+10% -10%
✖Space charge reduction factor is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube.ⓘ Space Charge Reduction Factor [R]			+10% -10%

✖Reduced Plasma Frequency is defined as the reduction in plasma frequency in the ionic level due to several reasons.ⓘ Reduced Plasma Frequency [ω_q]

⎘ Copy

👎

Formula

✖

Reduced Plasma Frequency

Formula

`"ω"_{"q"} = "f"_{"p"}*"R"`

Example

`"1.2E^6rad/s"="1.4e6rad/s"*"0.87"`

Calculator

LaTeX

Reset

👍

Download Microwave Tubes and Circuits Formula PDF PDF Image

Reduced Plasma Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Plasma Frequency = Plasma Frequency*Space Charge Reduction Factor
ω_q = f_p*R
This formula uses 3 Variables

Variables Used

Reduced Plasma Frequency - (Measured in Radian per Second) - Reduced Plasma Frequency is defined as the reduction in plasma frequency in the ionic level due to several reasons.
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.
Space Charge Reduction Factor - Space charge reduction factor is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube.

STEP 1: Convert Input(s) to Base Unit

Plasma Frequency: 1400000 Radian per Second --> 1400000 Radian per Second No Conversion Required
Space Charge Reduction Factor: 0.87 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_q = f_p*R --> 1400000*0.87

Evaluating ... ...

ω_q = 1218000

STEP 3: Convert Result to Output's Unit

1218000 Radian per Second --> No Conversion Required

FINAL ANSWER

1218000 ≈ 1.2E+6 Radian per Second <-- Reduced Plasma Frequency

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Beam Tube » Reduced Plasma Frequency

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 1900+ more calculators!

< 20 Beam Tube Calculators

Microwave Voltage in Buncher Gap

Go Microwave Voltage in the Buncher Gap = (Amplitude of Signal/(Angular Frequency of Microwave Voltage*Average Transit Time))*(cos(Angular Frequency of Microwave Voltage*Entering Time)-cos(Resonant Angular Frequency+(Angular Frequency of Microwave Voltage*Buncher Gap Distance)/Velocity of Electron))

RF Output Power

Go RF Output Power = RF Input Power*exp(-2*RF Attenuation Constant*RF Circuit Length)+int((RF Power Generated/RF Circuit Length)*exp(-2*RF Attenuation Constant*(RF Circuit Length-x)),x,0,RF Circuit Length)

Repeller Voltage

Go Repeller Voltage = sqrt((8*Angular Frequency^2*Drift Space Length^2*Small Beam Voltage)/((2*pi*Number of Oscillation)-(pi/2))^2*([Mass-e]/[Charge-e]))-Small Beam Voltage

Total Depletion for WDM System

Go Total Depletion for a WDM System = sum(x,2,Number of Channels,Raman Gain Coefficient*Channel Power*Effective Length/Effective Area)

Average Power Loss in Resonator

Go Average Power Loss in Resonator = (Surface Resistance of resonator/2)*(int(((Tangential Magnetic Intensity Peak Value)^2)*x,x,0,Radius of resonator))

Plasma Frequency

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

Total Energy Stored in Resonator

Go Total Energy Stored in Resonator = int((Permittivity of Medium/2*Electric Field Intensity^2)*x,x,0,Resonator Volume)

Skin Depth

Go Skin Depth = sqrt(Resistivity/(pi*Relative Permeability*Frequency))

Carrier Frequency in Spectral Line

Go Carrier Frequency = Spectral Line Frequency-Number of Samples*Repetition Frequency

Total Electron Beam Current Density

Go Total Electron Beam Current Density = -DC Beam Current Density+Instantaneous RF Beam Current Perturbation

Total Electron Velocity

Go Total Electron Velocity = DC Electron Velocity+Instantaneous Electron Velocity Perturbation

Total Charge Density

Go Total Charge Density = -DC Electron Charge Density+Instantaneous RF Charge Density

Reduced Plasma Frequency

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

Power Obtained from DC Power Supply

Go DC Power Supply = Power Generated in Anode Circuit/Electronic Efficiency

Power Generated in Anode Circuit

Go Power Generated in Anode Circuit = DC Power Supply*Electronic Efficiency

Maximum Voltage Gain at Resonance

Go Maximum Voltage Gain at Resonance = Transconductance/Conductance

Return Loss

Go Return Loss = -20*log10(Reflection Coefficient)

Rectangular Microwave Pulse Peak Power

Go Pulse Peak Power = Average Power/Duty Cycle

AC Power Supplied by Beam Voltage

Go AC Power Supply = (Voltage*Current)/2

DC Power Supplied by Beam Voltage

Go DC Power Supply = Voltage*Current

Reduced Plasma Frequency Formula

Reduced Plasma Frequency = Plasma Frequency*Space Charge Reduction Factor
ω_q = f_p*R

What is Plasma Frequency?

Plasma Frequency is a characteristic frequency associated with the behavior of charged particles in a plasma. A plasma is a state of matter in which gas molecules have been ionized, meaning they have lost or gained electrons, resulting in a mixture of positively charged ions and free electrons

How to Calculate Reduced Plasma Frequency?

Reduced Plasma Frequency calculator uses Reduced Plasma Frequency = Plasma Frequency*Space Charge Reduction Factor to calculate the Reduced Plasma Frequency, The Reduced Plasma Frequency formula is defined as the cutoff frequency of plasma waves, which is the frequency at which the wave propagation is inhibited due to the presence of the magnetic field. Reduced Plasma Frequency is denoted by ω_q symbol.

How to calculate Reduced Plasma Frequency using this online calculator? To use this online calculator for Reduced Plasma Frequency, enter Plasma Frequency (f_p) & Space Charge Reduction Factor (R) and hit the calculate button. Here is how the Reduced Plasma Frequency calculation can be explained with given input values -> 1.2E+6 = 1400000*0.87.

FAQ

What is Reduced Plasma Frequency?

The Reduced Plasma Frequency formula is defined as the cutoff frequency of plasma waves, which is the frequency at which the wave propagation is inhibited due to the presence of the magnetic field and is represented as ω_q = f_p*R or Reduced Plasma Frequency = Plasma Frequency*Space Charge Reduction Factor. 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 & Space charge reduction factor is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube.

How to calculate Reduced Plasma Frequency?

The Reduced Plasma Frequency formula is defined as the cutoff frequency of plasma waves, which is the frequency at which the wave propagation is inhibited due to the presence of the magnetic field is calculated using Reduced Plasma Frequency = Plasma Frequency*Space Charge Reduction Factor. To calculate Reduced Plasma Frequency, you need Plasma Frequency (f_p) & Space Charge Reduction Factor (R). With our tool, you need to enter the respective value for Plasma Frequency & Space Charge Reduction Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search