## Cyclotron Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e])
ωc = BZ*([Charge-e]/[Mass-e])
This formula uses 2 Constants, 2 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19 Coulomb
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31 Kilogram
Variables Used
Cyclotron Angular Frequency - (Measured in Radian per Second) - Cyclotron Angular frequency is the angular frequency of the circular motion of a charged particle in a magnetic field. It is also known as the Larmor frequency.
Magnetic Flux Density in Z Direction - (Measured in Tesla) - Magnetic Flux Density in Z Direction is the component of the magnetic field that is perpendicular to the x-y plane, or the plane of the Earth's surface.
STEP 1: Convert Input(s) to Base Unit
Magnetic Flux Density in Z Direction: 4.5E-08 Weber per Square Meter --> 4.5E-08 Tesla (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωc = BZ*([Charge-e]/[Mass-e]) --> 4.5E-08*([Charge-e]/[Mass-e])
Evaluating ... ...
ωc = 7914.69010225759
STEP 3: Convert Result to Output's Unit
7914.69010225759 Radian per Second --> No Conversion Required
7914.69010225759 7914.69 Radian per Second <-- Cyclotron Angular Frequency
(Calculation completed in 00.004 seconds)
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## 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
Distance Between Anode and Cathode = (1/Hull Cutoff Magnetic Flux Density)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage)
Hull Cutoff Magnetic Flux Density
Hull Cutoff Magnetic Flux Density = (1/Distance Between Anode and Cathode)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage)
Hull Cut-off Voltage
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
Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e]))
Cyclotron Angular Frequency
Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e])
Circuit Efficiency in Magnetron
Circuit Efficiency = Resonator Conductance/(Resonator Conductance+Conductance of Cavity)
Anode Current
Anode Current = Power Generated in Anode Circuit/(Anode Voltage*Electronic Efficiency)
Magnetron Phase Shift
Phase Shift in Magnetron = 2*pi*(Number of Oscillation/Number of Resonant Cavities)
Repetition Frequency of Pulse
Repetition Frequency = (Spectral Line Frequency-Carrier Frequency)/Number of Samples
Spectral Line Frequency
Spectral Line Frequency = Carrier Frequency+Number of Samples*Repetition Frequency
Noise Ratio
Signal Noise Ratio = (Input Signal Noise Ratio/Output Signal Noise Ratio)-1
Space Charge Reduction Factor
Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency
Electronic Efficiency
Electronic Efficiency = Power Generated in Anode Circuit/DC Power Supply
Modulation Linearity
Modulation Linearity = Maximum Frequency Deviation/Peak Frequency
RF Pulse Width
RF Pulse Width = 1/(2*Bandwidth)

## Cyclotron Angular Frequency Formula

Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e])
ωc = BZ*([Charge-e]/[Mass-e])

## What is Cyclotrone?

A cyclotron accelerates charged particles outwards from the center of a flat cylindrical vacuum chamber along a spiral path

## How to Calculate Cyclotron Angular Frequency?

Cyclotron Angular Frequency calculator uses Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e]) to calculate the Cyclotron Angular Frequency, The Cyclotron Angular frequency formula is defined as a moving charge in a cyclotron will move in a circular path under the influence of a constant magnetic field. Cyclotron Angular Frequency is denoted by ωc symbol.

How to calculate Cyclotron Angular Frequency using this online calculator? To use this online calculator for Cyclotron Angular Frequency, enter Magnetic Flux Density in Z Direction (BZ) and hit the calculate button. Here is how the Cyclotron Angular Frequency calculation can be explained with given input values -> 7914.69 = 4.5E-08*([Charge-e]/[Mass-e]).

### FAQ

What is Cyclotron Angular Frequency?
The Cyclotron Angular frequency formula is defined as a moving charge in a cyclotron will move in a circular path under the influence of a constant magnetic field and is represented as ωc = BZ*([Charge-e]/[Mass-e]) or Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e]). Magnetic Flux Density in Z Direction is the component of the magnetic field that is perpendicular to the x-y plane, or the plane of the Earth's surface.
How to calculate Cyclotron Angular Frequency?
The Cyclotron Angular frequency formula is defined as a moving charge in a cyclotron will move in a circular path under the influence of a constant magnetic field is calculated using Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e]). To calculate Cyclotron Angular Frequency, you need Magnetic Flux Density in Z Direction (BZ). With our tool, you need to enter the respective value for Magnetic Flux Density in Z Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know