LCM of three numbers

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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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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< Microwave Devices Calculators

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

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Characteristic Wave Impedance Formula

LaTeX Go

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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