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Parallel Waveguide Distance from Cutoff Wavenumber Formula

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Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system. Check FAQs

d = \frac{m \cdot π}{k c}

d - Parallel Waveguide Distance?m - Mode Index?k_c - Cutoff Wavenumber?π - Archimedes' constant?

Parallel Waveguide Distance from Cutoff Wavenumber Example

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Here is how the Parallel Waveguide Distance from Cutoff Wavenumber equation looks like with Values.

Here is how the Parallel Waveguide Distance from Cutoff Wavenumber equation looks like with Units.

Here is how the Parallel Waveguide Distance from Cutoff Wavenumber equation looks like.

0.0013 = \frac{4 \cdot 3.1416}{9666.43}

0.0013m = \frac{4 \cdot 3.1416}{9666.43Diopter}

0.0013 = \frac{4 \cdot 3.1416}{9666.43}

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Parallel Waveguide Distance from Cutoff Wavenumber Solution

Follow our step by step solution on how to calculate Parallel Waveguide Distance from Cutoff Wavenumber?

FIRST Step Consider the formula

d = \frac{m \cdot π}{k c}

Next Step Substitute values of Variables

∴

d = \frac{4 \cdot π}{9666.43Diopter}

Next Step Substitute values of Constants

∴

d = \frac{4 \cdot 3.1416}{9666.43Diopter}

Next Step Prepare to Evaluate

∴

d = \frac{4 \cdot 3.1416}{9666.43}

Next Step Evaluate

∴

d = 0.00130000120151485m

LAST Step Rounding Answer

∴

d = 0.0013m

Parallel Waveguide Distance from Cutoff Wavenumber Formula Elements

Variables

Constants

Parallel Waveguide Distance

Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Parallel Waveguide Distance

Mode Index

Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mode Index

Cutoff Wavenumber

The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.

Symbol: k_c

Measurement: Wave NumberUnit: Diopter

Note: Value can be positive or negative.

Formulas to find Cutoff Wavenumber

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 Transmission Line and Antenna Theory category

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V f = \frac{1}{\sqrt{K}}

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Φ = \sqrt{\frac{ω \cdot R \cdot C}{2}}

Go Velocity of Propagation in Telephonic Cable

V P = \sqrt{\frac{2 \cdot ω}{R \cdot C}}

Go Voltage Maxima

V max = V i + V r

How to Evaluate Parallel Waveguide Distance from Cutoff Wavenumber?

Parallel Waveguide Distance from Cutoff Wavenumber evaluator uses Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber to evaluate the Parallel Waveguide Distance, The Parallel Waveguide Distance from Cutoff Wavenumber formula is defined as the product of wave mode m and pi whole divided by cutoff wavenumber. Parallel Waveguide Distance is denoted by d symbol.

How to evaluate Parallel Waveguide Distance from Cutoff Wavenumber using this online evaluator? To use this online evaluator for Parallel Waveguide Distance from Cutoff Wavenumber, enter Mode Index (m) & Cutoff Wavenumber (k_c) and hit the calculate button.

FAQs on Parallel Waveguide Distance from Cutoff Wavenumber

What is the formula to find Parallel Waveguide Distance from Cutoff Wavenumber?

The formula of Parallel Waveguide Distance from Cutoff Wavenumber is expressed as Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber. Here is an example- 0.0013 = (4*pi)/9666.43.

How to calculate Parallel Waveguide Distance from Cutoff Wavenumber?

With Mode Index (m) & Cutoff Wavenumber (k_c) we can find Parallel Waveguide Distance from Cutoff Wavenumber using the formula - Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber. This formula also uses Archimedes' constant .

Can the Parallel Waveguide Distance from Cutoff Wavenumber be negative?

No, the Parallel Waveguide Distance from Cutoff Wavenumber, measured in Length cannot be negative.

Which unit is used to measure Parallel Waveguide Distance from Cutoff Wavenumber?

Parallel Waveguide Distance from Cutoff Wavenumber is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Parallel Waveguide Distance from Cutoff Wavenumber can be measured.

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