Characteristic Wave Impedance Calculator

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✖Angular Frequency is a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω₀]			+10% -10%
✖Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field.ⓘ Magnetic Permeability [μ]			+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%

✖Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields.ⓘ Characteristic Wave Impedance [Z]

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Formula

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Characteristic Wave Impedance

Formula

`"Z" = ("ω"_{"0"}*"μ")/("β")`

Example

`"0.622917kΩ"=("5.75rad/s"*"1.3H/m")/("0.012rad/m")`

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Characteristic Wave Impedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)
Z = (ω₀*μ)/(β)
This formula uses 4 Variables

Variables Used

Characteristic Wave Impedance - (Measured in Ohm) - Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is a steadily recurring phenomenon expressed in radians per second.
Magnetic Permeability - (Measured in Henry per Meter) - Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field.
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
Magnetic Permeability: 1.3 Henry per Meter --> 1.3 Henry per Meter 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

Z = (ω₀*μ)/(β) --> (5.75*1.3)/(0.012)

Evaluating ... ...

Z = 622.916666666667

STEP 3: Convert Result to Output's Unit

622.916666666667 Ohm -->0.622916666666667 Kilohm (Check conversion here)

FINAL ANSWER

0.622916666666667 ≈ 0.622917 Kilohm <-- Characteristic Wave Impedance

(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

Sai Sudha Vani Priya Lanka has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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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

Characteristic Wave Impedance Formula

Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)
Z = (ω₀*μ)/(β)

What is the characteristic impedance of a uniform transmission line?

The characteristic impedance or surge impedance (usually written Z 0) of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line; that is, a wave travelling in one direction in the absence of reflections in the other direction.

How to Calculate Characteristic Wave Impedance?

Characteristic Wave Impedance calculator uses Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant) to calculate the Characteristic Wave Impedance, Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields (the transverse components being those at right angles to the direction of propagation). Characteristic Wave Impedance is denoted by Z symbol.

How to calculate Characteristic Wave Impedance using this online calculator? To use this online calculator for Characteristic Wave Impedance, enter Angular Frequency (ω₀), Magnetic Permeability (μ) & Phase Constant (β) and hit the calculate button. Here is how the Characteristic Wave Impedance calculation can be explained with given input values -> 0.000623 = (5.75*1.3)/(0.012).

FAQ

What is Characteristic Wave Impedance?

Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields (the transverse components being those at right angles to the direction of propagation) and is represented as Z = (ω₀*μ)/(β) or Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant). Angular Frequency is a steadily recurring phenomenon expressed in radians per second, Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field & 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 Characteristic Wave Impedance?

Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields (the transverse components being those at right angles to the direction of propagation) is calculated using Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant). To calculate Characteristic Wave Impedance, you need Angular Frequency (ω₀), Magnetic Permeability (μ) & Phase Constant (β). With our tool, you need to enter the respective value for Angular Frequency, Magnetic Permeability & 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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