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Characteristic Wave Impedance Formula

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Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields. Check FAQs

Z = \frac{ω 0 \cdot μ}{β}

Z - Characteristic Wave Impedance?ω₀ - Angular Frequency?μ - Magnetic Permeability?β - Phase Constant?

Characteristic Wave Impedance Example

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Here is how the Characteristic Wave Impedance equation looks like with Values.

Here is how the Characteristic Wave Impedance equation looks like with Units.

Here is how the Characteristic Wave Impedance equation looks like.

0.6229 = \frac{5.75 \cdot 1.3}{0.012}

0.6229kΩ = \frac{5.75rad/s \cdot 1.3H/m}{0.012rad/m}

0.6229 = \frac{5.75 \cdot 1.3}{0.012}

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Characteristic Wave Impedance Solution

Follow our step by step solution on how to calculate Characteristic Wave Impedance?

FIRST Step Consider the formula

Z = \frac{ω 0 \cdot μ}{β}

Next Step Substitute values of Variables

∴

Z = \frac{5.75rad/s \cdot 1.3H/m}{0.012rad/m}

Next Step Prepare to Evaluate

∴

Z = \frac{5.75 \cdot 1.3}{0.012}

Next Step Evaluate

∴

Z = 622.916666666667Ω

Next Step Convert to Output's Unit

∴

Z = 0.622916666666667kΩ

LAST Step Rounding Answer

∴

Z = 0.6229kΩ

Characteristic Wave Impedance Formula Elements

Variables

Characteristic Wave Impedance

Characteristic Wave Impedance of an electromagnetic wave is the ratio of the transverse components of the electric and magnetic fields.

Symbol: Z

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Characteristic Wave Impedance

Angular Frequency

Angular Frequency is a steadily recurring phenomenon expressed in radians per second.

Symbol: ω₀

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Magnetic Permeability

Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field.

Symbol: μ

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value should be greater than 0.

Formulas to find Magnetic Permeability

Phase Constant

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.

Symbol: β

Measurement: Propagation ConstantUnit: rad/m

Note: Value should be greater than 0.

Formulas to find Phase Constant

Other formulas in Microwave Devices category

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F e = (q \cdot v cp) \cdot B

Go Power Losses for TEM Mode

P loss = 2 \cdot α \cdot P t

Go Quality Factor

Q = \frac{ω 0 \cdot E max}{P avg}

Go Cut-off Frequency of Rectangular Waveguide

f c = (\frac{1}{2 \cdot π \cdot \sqrt{μ \cdot ε}}) \cdot K c

How to Evaluate Characteristic Wave Impedance?

Characteristic Wave Impedance evaluator uses Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant) to evaluate 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 evaluate Characteristic Wave Impedance using this online evaluator? To use this online evaluator for Characteristic Wave Impedance, enter Angular Frequency (ω₀), Magnetic Permeability (μ) & Phase Constant (β) and hit the calculate button.

FAQs on Characteristic Wave Impedance

What is the formula to find Characteristic Wave Impedance?

The formula of Characteristic Wave Impedance is expressed as Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant). Here is an example- 0.000623 = (5.75*1.3)/(0.012).

How to calculate Characteristic Wave Impedance?

With Angular Frequency (ω₀), Magnetic Permeability (μ) & Phase Constant (β) we can find Characteristic Wave Impedance using the formula - Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant).

Can the Characteristic Wave Impedance be negative?

No, the Characteristic Wave Impedance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Characteristic Wave Impedance?

Characteristic Wave Impedance is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Characteristic Wave Impedance can be measured.

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Characteristic Wave Impedance Formula

Characteristic Wave Impedance Example

Characteristic Wave Impedance Solution

Characteristic Wave Impedance Formula Elements

Other formulas in Microwave Devices category

How to Evaluate Characteristic Wave Impedance?

FAQs on Characteristic Wave Impedance

Variable Name