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Magnitude of Wavevector Formula

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Wave Vector is a measure of the spatial frequency of a wave, representing the number of wavelengths per unit distance. Check FAQs

k = ω \cdot \sqrt{μ \cdot ∈'}

k - Wave Vector?ω - Angular Frequency?μ - Magnetic Permeability?∈' - Dielectric Permitivitty?

Magnitude of Wavevector Example

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Here is how the Magnitude of Wavevector equation looks like with Values.

Here is how the Magnitude of Wavevector equation looks like with Units.

Here is how the Magnitude of Wavevector equation looks like.

4.8211 = 2.38 \cdot \sqrt{29.31 \cdot 1.4}

4.8211 = 2.38rad/s \cdot \sqrt{29.31H/cm \cdot 1.4μF/mm}

4.8211 = 2.38 \cdot \sqrt{29.31 \cdot 1.4}

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Magnitude of Wavevector Solution

Follow our step by step solution on how to calculate Magnitude of Wavevector?

FIRST Step Consider the formula

k = ω \cdot \sqrt{μ \cdot ∈'}

Next Step Substitute values of Variables

∴

k = 2.38rad/s \cdot \sqrt{29.31H/cm \cdot 1.4μF/mm}

Next Step Convert Units

∴

k = 2.38rad/s \cdot \sqrt{2931H/m \cdot 0.0014F/m}

Next Step Prepare to Evaluate

∴

k = 2.38 \cdot \sqrt{2931 \cdot 0.0014}

Next Step Evaluate

∴

k = 4.82113046494284

LAST Step Rounding Answer

∴

k = 4.8211

Magnitude of Wavevector Formula Elements

Variables

Functions

Wave Vector

Wave Vector is a measure of the spatial frequency of a wave, representing the number of wavelengths per unit distance.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Vector

Angular Frequency

Angular Frequency is the rate of change of the phase of a sinusoidal waveform, measured in radians per unit time.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Frequency

Magnetic Permeability

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.

Symbol: μ

Measurement: Magnetic PermeabilityUnit: H/cm

Note: Value should be greater than 0.

Formulas to find Magnetic Permeability

Dielectric Permitivitty

Dielectric Permitivitty is a measure of a material's ability to permit the electric field lines to pass through it.

Symbol: ∈'

Measurement: PermittivityUnit: μF/mm

Note: Value should be greater than 0.

Formulas to find Dielectric Permitivitty

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.

Syntax: sqrt(Number)

Other formulas in Electrowave Dynamics category

Go Inductance between Conductors

L = μ \cdot π \cdot 10^{- 7} \cdot \frac{p d}{p b}

Go Skin Effect Resistivity

R s = \frac{2}{σ c \cdot δ \cdot p b}

Go Characteristic Impedance of Line

Z o = \sqrt{μ \cdot π \cdot \frac{10^{- 7}}{∈'}} \cdot (\frac{p d}{p b})

Go Conductance of Coaxial Cable

G c = \frac{2 \cdot π \cdot σ c}{\ln (\frac{b r}{a r})}

How to Evaluate Magnitude of Wavevector?

Magnitude of Wavevector evaluator uses Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty) to evaluate 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 evaluate Magnitude of Wavevector using this online evaluator? To use this online evaluator for Magnitude of Wavevector, enter Angular Frequency (ω), Magnetic Permeability (μ) & Dielectric Permitivitty (∈') and hit the calculate button.

FAQs on Magnitude of Wavevector

What is the formula to find Magnitude of Wavevector?

The formula of Magnitude of Wavevector is expressed as Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty). Here is an example- 4.82113 = 2.38*sqrt(2931*0.0014).

How to calculate Magnitude of Wavevector?

With Angular Frequency (ω), Magnetic Permeability (μ) & Dielectric Permitivitty (∈') we can find Magnitude of Wavevector using the formula - Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty). This formula also uses Square Root (sqrt) function(s).

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Magnitude of Wavevector Formula

Magnitude of Wavevector Example

Magnitude of Wavevector Solution

Magnitude of Wavevector Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Magnitude of Wavevector?

FAQs on Magnitude of Wavevector

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