FormulaDen.com

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

Radian Cutoff Angular Frequency Formula

Fx Copy

LaTeX Copy

Cutoff Angular Frequency representing the maximum frequency for which a particular mode of a waveguide or transmission line can be supported. Check FAQs

ω cm = \frac{m \cdot π \cdot [c]}{n r \cdot p d}

ω_cm - Cutoff Angular Frequency?m - Mode Number?n_r - Refractive Index?p_d - Plate Distance?[c] - Light speed in vacuum?π - Archimedes' constant?

Radian Cutoff Angular Frequency Example

With values

With units

Only example

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

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

Here is how the Radian Cutoff Angular Frequency equation looks like.

8.9E+9 = \frac{4 \cdot 3.1416 \cdot 3E+8}{2 \cdot 21.23}

8.9E+9rad/s = \frac{4 \cdot 3.1416 \cdot 3E+8m/s}{2 \cdot 21.23cm}

8.9E+9 = \frac{4 \cdot 3.1416 \cdot 3E+8}{2 \cdot 21.23}

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

Electromagnetic Field Theory » fx Radian Cutoff Angular Frequency

Radian Cutoff Angular Frequency Solution

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

FIRST Step Consider the formula

ω cm = \frac{m \cdot π \cdot [c]}{n r \cdot p d}

Next Step Substitute values of Variables

∴

ω cm = \frac{4 \cdot π \cdot [c]}{2 \cdot 21.23cm}

Next Step Substitute values of Constants

∴

ω cm = \frac{4 \cdot 3.1416 \cdot 3E+8m/s}{2 \cdot 21.23cm}

Next Step Convert Units

∴

ω cm = \frac{4 \cdot 3.1416 \cdot 3E+8m/s}{2 \cdot 0.2123m}

Next Step Prepare to Evaluate

∴

ω cm = \frac{4 \cdot 3.1416 \cdot 3E+8}{2 \cdot 0.2123}

Next Step Evaluate

∴

ω cm = 8872593345.77887rad/s

LAST Step Rounding Answer

∴

ω cm = 8.9E+9rad/s

Radian Cutoff Angular Frequency Formula Elements

Variables

Constants

Cutoff Angular Frequency

Cutoff Angular Frequency representing the maximum frequency for which a particular mode of a waveguide or transmission line can be supported.

Symbol: ω_cm

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Cutoff Angular Frequency

Mode Number

Mode Number indicates the number of half-wavelengths that fit into the given space.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mode Number

Refractive Index

Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

Symbol: n_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index

Plate Distance

Plate Distance typically refers to the separation between the conductive elements.

Symbol: p_d

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Plate Distance

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Electrowave Dynamics category

Go Inductance between Conductors

L = μ \cdot π \cdot 10^{- 7} \cdot \frac{p d}{p b}

Go Skin Effect Resistivity

R s = \frac{2}{σ c \cdot δ \cdot p b}

Go Characteristic Impedance of Line

Z o = \sqrt{μ \cdot π \cdot \frac{10^{- 7}}{∈'}} \cdot (\frac{p d}{p b})

Go Conductance of Coaxial Cable

G c = \frac{2 \cdot π \cdot σ c}{\ln (\frac{b r}{a r})}

How to Evaluate Radian Cutoff Angular Frequency?

Radian Cutoff Angular Frequency evaluator uses Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance) to evaluate the Cutoff Angular Frequency, Radian Cutoff Angular Frequency formula is a fundamental relationship in waveguiding and transmission line theory. It allows us to calculate the angular frequency of a wave propagating. Cutoff Angular Frequency is denoted by ω_cm symbol.

How to evaluate Radian Cutoff Angular Frequency using this online evaluator? To use this online evaluator for Radian Cutoff Angular Frequency, enter Mode Number (m), Refractive Index (n_r) & Plate Distance (p_d) and hit the calculate button.

FAQs on Radian Cutoff Angular Frequency

What is the formula to find Radian Cutoff Angular Frequency?

The formula of Radian Cutoff Angular Frequency is expressed as Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance). Here is an example- 8.9E+9 = (4*pi*[c])/(2*0.2123).

How to calculate Radian Cutoff Angular Frequency?

With Mode Number (m), Refractive Index (n_r) & Plate Distance (p_d) we can find Radian Cutoff Angular Frequency using the formula - Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance). This formula also uses Light speed in vacuum, Archimedes' constant .

Can the Radian Cutoff Angular Frequency be negative?

No, the Radian Cutoff Angular Frequency, measured in Angular Frequency cannot be negative.

Which unit is used to measure Radian Cutoff Angular Frequency?

Radian Cutoff 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 Radian Cutoff Angular Frequency can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Radian Cutoff Angular Frequency Formula

Radian Cutoff Angular Frequency Example

Radian Cutoff Angular Frequency Solution

Radian Cutoff Angular Frequency Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Radian Cutoff Angular Frequency?

FAQs on Radian Cutoff Angular Frequency

Variable Name