FormulaDen.com

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

Cutoff Wavelength Formula

Fx Copy

LaTeX Copy

Cutoff Wavelength is defined as the free-space wavelength at which cutoff for mode m occurs. Check FAQs

λ cm = \frac{2 \cdot n r \cdot p d}{m}

λ_cm - Cutoff Wavelength?n_r - Refractive Index?p_d - Plate Distance?m - Mode Number?

Cutoff Wavelength Example

With values

With units

Only example

Here is how the Cutoff Wavelength equation looks like with Values.

Here is how the Cutoff Wavelength equation looks like with Units.

Here is how the Cutoff Wavelength equation looks like.

21.23 = \frac{2 \cdot 2 \cdot 21.23}{4}

21.23cm = \frac{2 \cdot 2 \cdot 21.23cm}{4}

21.23 = \frac{2 \cdot 2 \cdot 21.23}{4}

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 Cutoff Wavelength

Cutoff Wavelength Solution

Follow our step by step solution on how to calculate Cutoff Wavelength?

FIRST Step Consider the formula

λ cm = \frac{2 \cdot n r \cdot p d}{m}

Next Step Substitute values of Variables

∴

λ cm = \frac{2 \cdot 2 \cdot 21.23cm}{4}

Next Step Convert Units

∴

λ cm = \frac{2 \cdot 2 \cdot 0.2123m}{4}

Next Step Prepare to Evaluate

∴

λ cm = \frac{2 \cdot 2 \cdot 0.2123}{4}

Next Step Evaluate

∴

λ cm = 0.2123m

LAST Step Convert to Output's Unit

∴

λ cm = 21.23cm

Cutoff Wavelength Formula Elements

Variables

Cutoff Wavelength

Cutoff Wavelength is defined as the free-space wavelength at which cutoff for mode m occurs.

Symbol: λ_cm

Measurement: WavelengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Cutoff Wavelength

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

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

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 Cutoff Wavelength?

Cutoff Wavelength evaluator uses Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number to evaluate the Cutoff Wavelength, Cutoff Wavelength refers to the longest wavelength that can propagate effectively in a waveguide or transmission line, determined by the physical dimensions and operating frequency of the structure. Cutoff Wavelength is denoted by λ_cm symbol.

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

FAQs on Cutoff Wavelength

What is the formula to find Cutoff Wavelength?

The formula of Cutoff Wavelength is expressed as Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number. Here is an example- 2124 = (2*2*0.2123)/4.

How to calculate Cutoff Wavelength?

With Refractive Index (n_r), Plate Distance (p_d) & Mode Number (m) we can find Cutoff Wavelength using the formula - Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number.

Can the Cutoff Wavelength be negative?

No, the Cutoff Wavelength, measured in Wavelength cannot be negative.

Which unit is used to measure Cutoff Wavelength?

Cutoff Wavelength is usually measured using the Centimeter[cm] for Wavelength. Meter[cm], Megameter[cm], Kilometer[cm] are the few other units in which Cutoff Wavelength can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Cutoff Wavelength Formula

Cutoff Wavelength Example

Cutoff Wavelength Solution

Cutoff Wavelength Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Cutoff Wavelength?

FAQs on Cutoff Wavelength

Variable Name