Characteristic Impedance of Coaxial Line Calculator

✖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.ⓘ Relative Permeability [μ_r]			+10% -10%
✖Permittivity of Dielectric refers to the ability to store electrical energy in an electric field.ⓘ Permittivity of Dielectric [ε]			+10% -10%
✖Outer Conductor Radius refers to the radius of outer conductor of coaxial cable.ⓘ Outer Conductor Radius [b]			+10% -10%
✖Inner Conductor Radius refers to the radius of inner conductor of coaxial cable.ⓘ Inner Conductor Radius [a]			+10% -10%

✖Characteristic Impedance of Coaxial Cable is a measure of its impedance, or opposition to the flow of electric current, presented to an electrical signal.ⓘ Characteristic Impedance of Coaxial Line [Z_o]

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Characteristic Impedance of Coaxial Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius)
Z_o = (1/(2*pi))*(sqrt(μ_r/ε))*ln(b/a)
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., 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., sqrt(Number)

Variables Used

Characteristic Impedance of Coaxial Cable - (Measured in Ohm) - Characteristic Impedance of Coaxial Cable is a measure of its impedance, or opposition to the flow of electric current, presented to an electrical signal.
Relative Permeability - (Measured in Henry per Meter) - 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.
Permittivity of Dielectric - (Measured in Farad per Meter) - Permittivity of Dielectric refers to the ability to store electrical energy in an electric field.
Outer Conductor Radius - (Measured in Meter) - Outer Conductor Radius refers to the radius of outer conductor of coaxial cable.
Inner Conductor Radius - (Measured in Meter) - Inner Conductor Radius refers to the radius of inner conductor of coaxial cable.

STEP 1: Convert Input(s) to Base Unit

Relative Permeability: 1.3 Henry per Meter --> 1.3 Henry per Meter No Conversion Required
Permittivity of Dielectric: 7.8 Farad per Meter --> 7.8 Farad per Meter No Conversion Required
Outer Conductor Radius: 3.4 Meter --> 3.4 Meter No Conversion Required
Inner Conductor Radius: 4.3 Meter --> 4.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_o = (1/(2*pi))*(sqrt(μ_r/ε))*ln(b/a) --> (1/(2*pi))*(sqrt(1.3/7.8))*ln(3.4/4.3)

Evaluating ... ...

Z_o = -0.0152586398305062

STEP 3: Convert Result to Output's Unit

-0.0152586398305062 Ohm --> No Conversion Required

FINAL ANSWER

-0.0152586398305062 ≈ -0.015259 Ohm <-- Characteristic Impedance of Coaxial Cable

(Calculation completed in 00.004 seconds)

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Characteristic Impedance of Coaxial Line Formula

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What is the Characteristic impedance?

The characteristic impedance of a transmission line, such as a coaxial cable or a microstrip line, is a fundamental parameter that describes the impedance of the line over its entire length. It represents the ratio of voltage to current in a wave propagating along the transmission line and is independent of the line's length.

How to Calculate Characteristic Impedance of Coaxial Line?

Characteristic Impedance of Coaxial Line calculator uses Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius) to calculate 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 calculate Characteristic Impedance of Coaxial Line using this online calculator? To use this online calculator 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. Here is how the Characteristic Impedance of Coaxial Line calculation can be explained with given input values -> -0.015259 = (1/(2*pi))*(sqrt(1.3/7.8))*ln(3.4/4.3).

FAQ

What is Characteristic Impedance of Coaxial Line?

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 and is represented as Z_o = (1/(2*pi))*(sqrt(μ_r/ε))*ln(b/a) or Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius). 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, Permittivity of Dielectric refers to the ability to store electrical energy in an electric field, Outer Conductor Radius refers to the radius of outer conductor of coaxial cable & Inner Conductor Radius refers to the radius of inner conductor of coaxial cable.

How to calculate Characteristic Impedance of Coaxial Line?

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 is calculated using Characteristic Impedance of Coaxial Cable = (1/(2*pi))*(sqrt(Relative Permeability/Permittivity of Dielectric))*ln(Outer Conductor Radius/Inner Conductor Radius). To calculate Characteristic Impedance of Coaxial Line, you need Relative Permeability (μ_r), Permittivity of Dielectric (ε), Outer Conductor Radius (b) & Inner Conductor Radius (a). With our tool, you need to enter the respective value for Relative Permeability, Permittivity of Dielectric, Outer Conductor Radius & Inner Conductor Radius 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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