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Magnitude of Wavevector Calculator

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Electrowave Dynamics Electromagnetic Radiation and Antennas

✖Angular Frequency is the rate of change of the phase of a sinusoidal waveform, measured in radians per unit time.ⓘ Angular Frequency [ω]			+10% -10%
✖Magnetic Permeability is a property of a material's ability to respond to a magnetic field.It quantifies how easily a substance can be magnetized in the presence of a magnetic field.ⓘ Magnetic Permeability [μ]			+10% -10%
✖Dielectric Permitivitty is a measure of a material's ability to permit the electric field lines to pass through it.ⓘ Dielectric Permitivitty [∈']			+10% -10%

✖Wave Vector is a measure of the spatial frequency of a wave, representing the number of wavelengths per unit distance.ⓘ Magnitude of Wavevector [k]

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Magnitude of Wavevector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)
k = ω*sqrt(μ*∈')
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wave Vector - Wave Vector is a measure of the spatial frequency of a wave, representing the number of wavelengths per unit distance.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is the rate of change of the phase of a sinusoidal waveform, measured in radians per unit time.
Magnetic Permeability - (Measured in Henry per Meter) - Magnetic Permeability is a property of a material's ability to respond to a magnetic field.It quantifies how easily a substance can be magnetized in the presence of a magnetic field.
Dielectric Permitivitty - (Measured in Farad per Meter) - Dielectric Permitivitty is a measure of a material's ability to permit the electric field lines to pass through it.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 2.38 Radian per Second --> 2.38 Radian per Second No Conversion Required
Magnetic Permeability: 29.31 Henry per Centimeter --> 2931 Henry per Meter (Check conversion here)
Dielectric Permitivitty: 1.4 Microfarad per Millimeter --> 0.0014 Farad per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = ω*sqrt(μ*∈') --> 2.38*sqrt(2931*0.0014)

Evaluating ... ...

k = 4.82113046494284

STEP 3: Convert Result to Output's Unit

4.82113046494284 --> No Conversion Required

FINAL ANSWER

4.82113046494284 ≈ 4.82113 <-- Wave Vector

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT University), Chennai

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Magnitude of Wavevector Formula

LaTeX Go

Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)
k = ω*sqrt(μ*∈')

How does wavevector change with higher dielectric permittivity?

As the dielectric permittivity increases, the wavevector magnitude decreases due to the square root relationship in the dispersion relation. This signifies a reduction in the spatial frequency of the wave in the medium, influenced by the electromagnetic properties of the material.

How to Calculate Magnitude of Wavevector?

Magnitude of Wavevector calculator uses Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty) to calculate the Wave Vector, Magnitude of Wavevector formula refers to the wavevector, which characterizes the spatial frequency and direction of the wave, to the angular frequency, magnetic permeability, and dielectric permittivity of the medium through which the wave is propagating. Wave Vector is denoted by k symbol.

How to calculate Magnitude of Wavevector using this online calculator? To use this online calculator for Magnitude of Wavevector, enter Angular Frequency (ω), Magnetic Permeability (μ) & Dielectric Permitivitty (∈') and hit the calculate button. Here is how the Magnitude of Wavevector calculation can be explained with given input values -> 4.82113 = 2.38*sqrt(2931*0.0014).

FAQ

What is Magnitude of Wavevector?

Magnitude of Wavevector formula refers to the wavevector, which characterizes the spatial frequency and direction of the wave, to the angular frequency, magnetic permeability, and dielectric permittivity of the medium through which the wave is propagating and is represented as k = ω*sqrt(μ*∈') or Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty). Angular Frequency is the rate of change of the phase of a sinusoidal waveform, measured in radians per unit time, Magnetic Permeability is a property of a material's ability to respond to a magnetic field.It quantifies how easily a substance can be magnetized in the presence of a magnetic field & Dielectric Permitivitty is a measure of a material's ability to permit the electric field lines to pass through it.

How to calculate Magnitude of Wavevector?

Magnitude of Wavevector formula refers to the wavevector, which characterizes the spatial frequency and direction of the wave, to the angular frequency, magnetic permeability, and dielectric permittivity of the medium through which the wave is propagating is calculated using Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty). To calculate Magnitude of Wavevector, you need Angular Frequency (ω), Magnetic Permeability (μ) & Dielectric Permitivitty (∈'). With our tool, you need to enter the respective value for Angular Frequency, Magnetic Permeability & Dielectric Permitivitty 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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