Phase Velocity of Rectangular Waveguide Calculator

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✖Angular Frequency is a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω₀]			+10% -10%
✖Phase Constant of Rectangular Waveguide is a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.ⓘ Phase Constant [β]			+10% -10%

✖The phase velocity of a wave is the rate at which the wave propagates in any medium.ⓘ Phase Velocity of Rectangular Waveguide [V_p]

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Formula

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Phase Velocity of Rectangular Waveguide

Formula

`"V"_{"p"} = "ω"_{"0"}/"β"`

Example

`"479.1667m/s"="5.75rad/s"/"0.012rad/m"`

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Phase Velocity of Rectangular Waveguide Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Velocity = Angular Frequency/Phase Constant
V_p = ω₀/β
This formula uses 3 Variables

Variables Used

Phase Velocity - (Measured in Meter per Second) - The phase velocity of a wave is the rate at which the wave propagates in any medium.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is a steadily recurring phenomenon expressed in radians per second.
Phase Constant - (Measured in Radian per Meter) - Phase Constant of Rectangular Waveguide is a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 5.75 Radian per Second --> 5.75 Radian per Second No Conversion Required
Phase Constant: 0.012 Radian per Meter --> 0.012 Radian per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_p = ω₀/β --> 5.75/0.012

Evaluating ... ...

V_p = 479.166666666667

STEP 3: Convert Result to Output's Unit

479.166666666667 Meter per Second --> No Conversion Required

FINAL ANSWER

479.166666666667 ≈ 479.1667 Meter per Second <-- Phase Velocity

(Calculation completed in 00.004 seconds)

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Created by Sai Sudha Vani Priya Lanka

Dayananda Sagar University (DSU), Bengaluru, Karnataka, India-560100

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< 17 Microwave Devices Calculators

Propagation Constant

Go Propagation Constant = Angular Frequency*(sqrt(Magnetic Permeability*Dielectric Permittivity))*(sqrt(1-((Cut-off Frequency/Frequency)^2)))

Attenuation for TEmn mode

Go Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))

Attenuation for TMmn mode

Go Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)

Cut-off Frequency of Rectangular Waveguide

Go Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number

Surface Resistance of Guide Walls

Go Surface Resistance = sqrt((pi*Frequency*Magnetic Permeability)/(Conductivity))

Power Density of Spherical Wave

Go Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)

Wavelength for TEmn Modes

Go Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))

Force Exerted on Particle

Go Force Exerted on Particle = (Charge of a Particle*Velocity of a Charged Particle)*Magnetic Flux Density

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode

Go Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)

Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode

Go Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)

Characteristic Wave Impedance

Go Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)

Quality Factor

Go Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)

Maximum Stored Energy

Go Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency

Power Received by Antenna

Go Power Received by Antenna = Power Density of Antenna*Effective Area Antenna

Power Losses for TEM Mode

Go Power Losses for the TEM Mode = 2*Attenuation Constant*Transmitting Power

Critical Frequency for Vertical Incidence

Go Critical Frequency = 9*sqrt(Maximum Electron Density)

Phase Velocity of Rectangular Waveguide

Go Phase Velocity = Angular Frequency/Phase Constant

Phase Velocity of Rectangular Waveguide Formula

Phase Velocity = Angular Frequency/Phase Constant
V_p = ω₀/β

What is the phase velocity of a plasma wave?

The phase velocity of the plasma wave in the case of forward scattering is equal to the group velocity of the beat wave, which for low-density plasma is close to the speed of light, as can be seen from the relation: where eqn and were used to show that η is close to unity.

How to Calculate Phase Velocity of Rectangular Waveguide?

Phase Velocity of Rectangular Waveguide calculator uses Phase Velocity = Angular Frequency/Phase Constant to calculate the Phase Velocity, Phase Velocity of Rectangular Waveguide is the rate at which the wave propagates in any medium. Phase Velocity is denoted by V_p symbol.

How to calculate Phase Velocity of Rectangular Waveguide using this online calculator? To use this online calculator for Phase Velocity of Rectangular Waveguide, enter Angular Frequency (ω₀) & Phase Constant (β) and hit the calculate button. Here is how the Phase Velocity of Rectangular Waveguide calculation can be explained with given input values -> 479.1667 = 5.75/0.012.

FAQ

What is Phase Velocity of Rectangular Waveguide?

Phase Velocity of Rectangular Waveguide is the rate at which the wave propagates in any medium and is represented as V_p = ω₀/β or Phase Velocity = Angular Frequency/Phase Constant. Angular Frequency is a steadily recurring phenomenon expressed in radians per second & Phase Constant of Rectangular Waveguide is a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.

How to calculate Phase Velocity of Rectangular Waveguide?

Phase Velocity of Rectangular Waveguide is the rate at which the wave propagates in any medium is calculated using Phase Velocity = Angular Frequency/Phase Constant. To calculate Phase Velocity of Rectangular Waveguide, you need Angular Frequency (ω₀) & Phase Constant (β). With our tool, you need to enter the respective value for Angular Frequency & Phase Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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