Space Charge Reduction Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency
R = ωq/fp
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Reduced Plasma Frequency: 1200000 Radian per Second --> 1200000 Radian per Second No Conversion Required
Plasma Frequency: 1400000 Radian per Second --> 1400000 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = ωq/fp --> 1200000/1400000
Evaluating ... ...
R = 0.857142857142857
STEP 3: Convert Result to Output's Unit
0.857142857142857 --> No Conversion Required
FINAL ANSWER
0.857142857142857 0.857143 <-- Space Charge Reduction Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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17 Magnetron Oscillator Calculators

Distance between Anode and Cathode
Go Distance Between Anode and Cathode = (1/Hull Cutoff Magnetic Flux Density)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage)
Hull Cutoff Magnetic Flux Density
Go Hull Cutoff Magnetic Flux Density = (1/Distance Between Anode and Cathode)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage)
Hull Cut-off Voltage
Go Hull Cut off Voltage = (1/2)*([Charge-e]/[Mass-e])*Hull Cutoff Magnetic Flux Density^2*Distance Between Anode and Cathode^2
Electron Uniform Velocity
Go Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e]))
Cyclotron Angular Frequency
Go Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e])
Circuit Efficiency in Magnetron
Go Circuit Efficiency = Resonator Conductance/(Resonator Conductance+Conductance of Cavity)
Anode Current
Go Anode Current = Power Generated in Anode Circuit/(Anode Voltage*Electronic Efficiency)
Magnetron Phase Shift
Go Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities)
Repetition Frequency of Pulse
Go Repetition Frequency = (Spectral Line Frequency-Carrier Frequency)/Number of Samples
Spectral Line Frequency
Go Spectral Line Frequency = Carrier Frequency+Number of Samples*Repetition Frequency
Noise Ratio
Go Signal Noise Ratio = (Input Signal Noise Ratio/Output Signal Noise Ratio)-1
Space Charge Reduction Factor
Go Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency
Electronic Efficiency
Go Electronic Efficiency = Power Generated in Anode Circuit/DC Power Supply
Modulation Linearity
Go Modulation Linearity = Maximum Frequency Deviation/Peak Frequency
Receiver Sensitivity
Go Receiver Sensitivity = Receiver Noise Floor+Signal Noise Ratio
Characteristic Admittance
Go Characteristic Admittance = 1/Characteristic Impedance
RF Pulse Width
Go RF Pulse Width = 1/(2*Bandwidth)

Space Charge Reduction Factor Formula

Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency
R = ωq/fp

What is Microwave Cavity?

A microwave cavity or radiofrequency cavity is a special type of resonator, consisting of a closed metal structure that confines electromagnetic fields in the microwave region of the spectrum.

How to Calculate Space Charge Reduction Factor?

Space Charge Reduction Factor calculator uses Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency to calculate the Space Charge Reduction Factor, The Space Charge Reduction Factor formula 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 is denoted by R symbol.

How to calculate Space Charge Reduction Factor using this online calculator? To use this online calculator for Space Charge Reduction Factor, enter Reduced Plasma Frequency q) & Plasma Frequency (fp) and hit the calculate button. Here is how the Space Charge Reduction Factor calculation can be explained with given input values -> 0.857143 = 1200000/1400000.

FAQ

What is Space Charge Reduction Factor?
The Space Charge Reduction Factor formula is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube and is represented as R = ωq/fp or Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency. Reduced Plasma Frequency is defined as the reduction in plasma frequency in the ionic level due to several reasons & 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.
How to calculate Space Charge Reduction Factor?
The Space Charge Reduction Factor formula is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube is calculated using Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency. To calculate Space Charge Reduction Factor, you need Reduced Plasma Frequency q) & Plasma Frequency (fp). With our tool, you need to enter the respective value for Reduced Plasma Frequency & Plasma Frequency 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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