FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Cyclotron Angular Frequency Formula

Fx Copy

LaTeX Copy

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. Check FAQs

ω c = B Z \cdot (\frac{[Charge-e]}{[Mass-e]})

ω_c - Cyclotron Angular Frequency?B_Z - Magnetic Flux Density in Z Direction?[Charge-e] - Charge of electron?[Mass-e] - Mass of electron?

Cyclotron Angular Frequency Example

With values

With units

Only example

Here is how the Cyclotron Angular Frequency equation looks like with Values.

Here is how the Cyclotron Angular Frequency equation looks like with Units.

Here is how the Cyclotron Angular Frequency equation looks like.

7914.6901 = 4.5E-8 \cdot (\frac{1.6E-19}{9.1E-31})

7914.6901rad/s = 4.5E-8Wb/m² \cdot (\frac{1.6E-19C}{9.1E-31kg})

7914.6901 = 4.5E-8 \cdot (\frac{1.6E-19}{9.1E-31})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Microwave Theory » fx Cyclotron Angular Frequency

Cyclotron Angular Frequency Solution

Follow our step by step solution on how to calculate Cyclotron Angular Frequency?

FIRST Step Consider the formula

ω c = B Z \cdot (\frac{[Charge-e]}{[Mass-e]})

Next Step Substitute values of Variables

∴

ω c = 4.5E-8Wb/m² \cdot (\frac{[Charge-e]}{[Mass-e]})

Next Step Substitute values of Constants

∴

ω c = 4.5E-8Wb/m² \cdot (\frac{1.6E-19C}{9.1E-31kg})

Next Step Convert Units

∴

ω c = 4.5E-8T \cdot (\frac{1.6E-19C}{9.1E-31kg})

Next Step Prepare to Evaluate

∴

ω c = 4.5E-8 \cdot (\frac{1.6E-19}{9.1E-31})

Next Step Evaluate

∴

ω c = 7914.69010225759rad/s

LAST Step Rounding Answer

∴

ω c = 7914.6901rad/s

Cyclotron Angular Frequency Formula Elements

Variables

Constants

Cyclotron Angular Frequency

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.

Symbol: ω_c

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Cyclotron Angular Frequency

Magnetic Flux Density in Z Direction

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.

Symbol: B_Z

Measurement: Magnetic Flux DensityUnit: Wb/m²

Note: Value should be greater than 0.

Formulas to find Magnetic Flux Density in Z Direction

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Other formulas in Magnetron Oscillator category

Go Repetition Frequency of Pulse

f r = \frac{f sl - f c}{N s}

Go Characteristic Admittance

Y = \frac{1}{Z o}

Go Receiver Sensitivity

S r = RNF + SNR

Go RF Pulse Width

T eff = \frac{1}{2 \cdot BW}

How to Evaluate Cyclotron Angular Frequency?

Cyclotron Angular Frequency evaluator uses Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e]) to evaluate 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 ω_c symbol.

How to evaluate Cyclotron Angular Frequency using this online evaluator? To use this online evaluator for Cyclotron Angular Frequency, enter Magnetic Flux Density in Z Direction (B_Z) and hit the calculate button.

FAQs on Cyclotron Angular Frequency

What is the formula to find Cyclotron Angular Frequency?

The formula of Cyclotron Angular Frequency is expressed as Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e]). Here is an example- 7914.69 = 4.5E-08*([Charge-e]/[Mass-e]).

How to calculate Cyclotron Angular Frequency?

With Magnetic Flux Density in Z Direction (B_Z) we can find Cyclotron Angular Frequency using the formula - Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e]). This formula also uses Charge of electron, Mass of electron constant(s).

Can the Cyclotron Angular Frequency be negative?

No, the Cyclotron Angular Frequency, measured in Angular Frequency cannot be negative.

Which unit is used to measure Cyclotron Angular Frequency?

Cyclotron Angular Frequency is usually measured using the Radian per Second[rad/s] for Angular Frequency. Degree per Second[rad/s] are the few other units in which Cyclotron Angular Frequency can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit