Magnetron Phase Shift Calculator

✖Number of Oscillation refers to the occurrence of the oscillation.ⓘ Number of Oscillation [M]			+10% -10%
✖Number of resonant cavitiesis defined as fully enclosed versions of distributed resonators.ⓘ Number of Resonant Cavities [N]			+10% -10%

✖Phase Shift in Magnetron occurs due to the interaction between the electrons and the alternating electromagnetic field in the resonant cavity.ⓘ Magnetron Phase Shift [Φ_n]

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Formula

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Magnetron Phase Shift

Formula

`"Φ"_{"n"} = 2*pi*("M"/"N")`

Example

`"90°" =2*pi*("4"/"16")`

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Download Magnetron Oscillator Formulas PDF

Magnetron Phase Shift Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities)
Φ_n = 2*pi*(M/N)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Phase Shift in Magnetron - (Measured in Radian) - Phase Shift in Magnetron occurs due to the interaction between the electrons and the alternating electromagnetic field in the resonant cavity.
Number of Oscillation - Number of Oscillation refers to the occurrence of the oscillation.
Number of Resonant Cavities - Number of resonant cavitiesis defined as fully enclosed versions of distributed resonators.

STEP 1: Convert Input(s) to Base Unit

Number of Oscillation: 4 --> No Conversion Required
Number of Resonant Cavities: 16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_n = 2*pi*(M/N) --> 2*pi*(4/16)

Evaluating ... ...

Φ_n = 1.5707963267949

STEP 3: Convert Result to Output's Unit

1.5707963267949 Radian -->90.0000000000169 Degree (Check conversion here)

FINAL ANSWER

90.0000000000169 ≈ 90 Degree <-- Phase Shift in Magnetron

(Calculation completed in 00.004 seconds)

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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)

Magnetron Phase Shift Formula

Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities)
Φ_n = 2*pi*(M/N)

What is Resonant Cavity?

A conducting surface enclosing a space in which an oscillating electromagnetic field can be maintained, the dimensions of the cavity determine the resonant frequency of the oscillation.

How to Calculate Magnetron Phase Shift?

Magnetron Phase Shift calculator uses Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities) to calculate the Phase Shift in Magnetron, Magnetron Phase Shift occurs due to the interaction between the electrons and the alternating electromagnetic field in the resonant cavity. The interaction causes the electrons to change their velocity, resulting in a phase shift between the electrons and the electromagnetic field. This phase shift leads to the oscillation of the electrons, which generates the microwave radiation. Phase Shift in Magnetron is denoted by Φ_n symbol.

How to calculate Magnetron Phase Shift using this online calculator? To use this online calculator for Magnetron Phase Shift, enter Number of Oscillation (M) & Number of Resonant Cavities (N) and hit the calculate button. Here is how the Magnetron Phase Shift calculation can be explained with given input values -> 5156.62 = 2*pi*(4/16).

FAQ

What is Magnetron Phase Shift?

Magnetron Phase Shift occurs due to the interaction between the electrons and the alternating electromagnetic field in the resonant cavity. The interaction causes the electrons to change their velocity, resulting in a phase shift between the electrons and the electromagnetic field. This phase shift leads to the oscillation of the electrons, which generates the microwave radiation and is represented as Φ_n = 2*pi*(M/N) or Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities). Number of Oscillation refers to the occurrence of the oscillation & Number of resonant cavitiesis defined as fully enclosed versions of distributed resonators.

How to calculate Magnetron Phase Shift?

Magnetron Phase Shift occurs due to the interaction between the electrons and the alternating electromagnetic field in the resonant cavity. The interaction causes the electrons to change their velocity, resulting in a phase shift between the electrons and the electromagnetic field. This phase shift leads to the oscillation of the electrons, which generates the microwave radiation is calculated using Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities). To calculate Magnetron Phase Shift, you need Number of Oscillation (M) & Number of Resonant Cavities (N). With our tool, you need to enter the respective value for Number of Oscillation & Number of Resonant Cavities 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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