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Characteristic Impedance of Coaxial Line Formula

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Characteristic Impedance of Coaxial Cable is a measure of its impedance, or opposition to the flow of electric current, presented to an electrical signal. Check FAQs

Z o = (\frac{1}{2 \cdot π}) \cdot (\sqrt{\frac{μ r}{ε}}) \cdot \ln (\frac{b}{a})

Z_o - Characteristic Impedance of Coaxial Cable?μ_r - Relative Permeability?ε - Permittivity of Dielectric?b - Outer Conductor Radius?a - Inner Conductor Radius?π - Archimedes' constant?

Characteristic Impedance of Coaxial Line Example

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Here is how the Characteristic Impedance of Coaxial Line equation looks like with Values.

Here is how the Characteristic Impedance of Coaxial Line equation looks like with Units.

Here is how the Characteristic Impedance of Coaxial Line equation looks like.

-0.0153 = (\frac{1}{2 \cdot 3.1416}) \cdot (\sqrt{\frac{1.3}{7.8}}) \cdot \ln (\frac{3.4}{4.3})

-0.0153Ω = (\frac{1}{2 \cdot 3.1416}) \cdot (\sqrt{\frac{1.3H/m}{7.8F/m}}) \cdot \ln (\frac{3.4m}{4.3m})

-0.0153 = (\frac{1}{2 \cdot 3.1416}) \cdot (\sqrt{\frac{1.3}{7.8}}) \cdot \ln (\frac{3.4}{4.3})

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Characteristic Impedance of Coaxial Line Solution

Follow our step by step solution on how to calculate Characteristic Impedance of Coaxial Line?

FIRST Step Consider the formula

Z o = (\frac{1}{2 \cdot π}) \cdot (\sqrt{\frac{μ r}{ε}}) \cdot \ln (\frac{b}{a})

Next Step Substitute values of Variables

∴

Z o = (\frac{1}{2 \cdot π}) \cdot (\sqrt{\frac{1.3H/m}{7.8F/m}}) \cdot \ln (\frac{3.4m}{4.3m})

Next Step Substitute values of Constants

∴

Z o = (\frac{1}{2 \cdot 3.1416}) \cdot (\sqrt{\frac{1.3H/m}{7.8F/m}}) \cdot \ln (\frac{3.4m}{4.3m})

Next Step Prepare to Evaluate

∴

Z o = (\frac{1}{2 \cdot 3.1416}) \cdot (\sqrt{\frac{1.3}{7.8}}) \cdot \ln (\frac{3.4}{4.3})

Next Step Evaluate

∴

Z o = -0.0152586398305062Ω

LAST Step Rounding Answer

∴

Z o = -0.0153Ω

Characteristic Impedance of Coaxial Line Formula Elements

Variables

Constants

Functions

Characteristic Impedance of Coaxial Cable

Characteristic Impedance of Coaxial Cable is a measure of its impedance, or opposition to the flow of electric current, presented to an electrical signal.

Symbol: Z_o

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Characteristic Impedance of Coaxial Cable

Relative Permeability

Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.

Symbol: μ_r

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value can be positive or negative.

Formulas to find Relative Permeability

Permittivity of Dielectric

Permittivity of Dielectric refers to the ability to store electrical energy in an electric field.

Symbol: ε

Measurement: PermittivityUnit: F/m

Note: Value can be positive or negative.

Formulas to find Permittivity of Dielectric

Outer Conductor Radius

Outer Conductor Radius refers to the radius of outer conductor of coaxial cable.

Symbol: b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Outer Conductor Radius

Inner Conductor Radius

Inner Conductor Radius refers to the radius of inner conductor of coaxial cable.

Symbol: a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inner Conductor Radius

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

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)

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How to Evaluate Characteristic Impedance of Coaxial Line?

Characteristic Impedance of Coaxial Line evaluator uses Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius) to evaluate the Characteristic Impedance of Coaxial Cable, The Characteristic Impedance of Coaxial Line formula used to calculate the measure of its impedance, or opposition to the flow of electric current, presented to an electrical signal. It depends on the geometric dimensions and material properties of the cable. Characteristic Impedance of Coaxial Cable is denoted by Z_o symbol.

How to evaluate Characteristic Impedance of Coaxial Line using this online evaluator? To use this online evaluator for Characteristic Impedance of Coaxial Line, enter Relative Permeability (μ_r), Permittivity of Dielectric (ε), Outer Conductor Radius (b) & Inner Conductor Radius (a) and hit the calculate button.

FAQs on Characteristic Impedance of Coaxial Line

What is the formula to find Characteristic Impedance of Coaxial Line?

The formula of Characteristic Impedance of Coaxial Line is expressed as Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius). Here is an example- -0.015259 = (1/(2*pi))*(sqrt(1.3/7.8))*ln(3.4/4.3).

How to calculate Characteristic Impedance of Coaxial Line?

With Relative Permeability (μ_r), Permittivity of Dielectric (ε), Outer Conductor Radius (b) & Inner Conductor Radius (a) we can find Characteristic Impedance of Coaxial Line using the formula - Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius). This formula also uses Archimedes' constant and , Natural Logarithm (ln), Square Root (sqrt) function(s).

Can the Characteristic Impedance of Coaxial Line be negative?

Yes, the Characteristic Impedance of Coaxial Line, measured in Electric Resistance can be negative.

Which unit is used to measure Characteristic Impedance of Coaxial Line?

Characteristic Impedance of Coaxial Line is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Characteristic Impedance of Coaxial Line can be measured.

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Characteristic Impedance of Coaxial Line Formula

Characteristic Impedance of Coaxial Line Example

Characteristic Impedance of Coaxial Line Solution

Characteristic Impedance of Coaxial Line Formula Elements

Other formulas in Beam Tube category

How to Evaluate Characteristic Impedance of Coaxial Line?

FAQs on Characteristic Impedance of Coaxial Line

Variable Name