Characteristic Impedance of Line Calculator

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Electrowave Dynamics Electromagnetic Radiation and Antennas

✖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%
✖Plate Distance typically refers to the separation between the conductive elements.ⓘ Plate Distance [p_d]			+10% -10%
✖Plate Width represents the width of the conductive elements in the transmission line.ⓘ Plate Width [p_b]			+10% -10%

✖Characteristic Impedance is a measure of its opposition to the flow of electrical signals. It is defined as the ratio of the voltage to the current in a transmission line and is expressed in ohms.ⓘ Characteristic Impedance of Line [Z_o]

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Formula

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Characteristic Impedance of Line

Formula

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

Example

0.860872 Ω = \sqrt{29.31 H/cm \cdot π \cdot \frac{10^{- 7}}{1.4 μF/mm}} \cdot (\frac{21.23 cm}{20 cm})

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Characteristic Impedance of Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)
Z_o = sqrt(μ*pi*10^-7/∈')*(p_d/p_b)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Characteristic Impedance - (Measured in Ohm) - Characteristic Impedance is a measure of its opposition to the flow of electrical signals. It is defined as the ratio of the voltage to the current in a transmission line and is expressed in ohms.
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.
Plate Distance - (Measured in Meter) - Plate Distance typically refers to the separation between the conductive elements.
Plate Width - (Measured in Meter) - Plate Width represents the width of the conductive elements in the transmission line.

STEP 1: Convert Input(s) to Base Unit

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)
Plate Distance: 21.23 Centimeter --> 0.2123 Meter (Check conversion here)
Plate Width: 20 Centimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_o = sqrt(μ*pi*10^-7/∈')*(p_d/p_b) --> sqrt(2931*pi*10^-7/0.0014)*(0.2123/0.2)

Evaluating ... ...

Z_o = 0.860872483028918

STEP 3: Convert Result to Output's Unit

0.860872483028918 Ohm --> No Conversion Required

FINAL ANSWER

0.860872483028918 ≈ 0.860872 Ohm <-- Characteristic Impedance

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 5 Electrowave Dynamics Calculators

Characteristic Impedance of Line

Go Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)

Inductance per unit Length of Coaxial Cable

Go Inductance per unit Length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Conductance of Coaxial Cable

Go Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Inductance between Conductors

Go Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)

Skin Effect Resistivity

Go Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)

Characteristic Impedance of Line Formula

Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)
Z_o = sqrt(μ*pi*10^-7/∈')*(p_d/p_b)

How does changing transmission line width and separation impact characteristic impedance?

A wider separation or narrower width increase affecting signal behavior. Understanding this relationship is vital in designing transmission lines to match impedance for optimal signal transfer without reflections.

How to Calculate Characteristic Impedance of Line?

Characteristic Impedance of Line calculator uses Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width) to calculate the Characteristic Impedance, Characteristic Impedance of Line is the ratio of voltage to current along the line, determining how electrical signals propagate without distortion, influenced by the line's geometry and dielectric properties. Characteristic Impedance is denoted by Z_o symbol.

How to calculate Characteristic Impedance of Line using this online calculator? To use this online calculator for Characteristic Impedance of Line, enter Magnetic Permeability (μ), Dielectric Permitivitty (∈'), Plate Distance (p_d) & Plate Width (p_b) and hit the calculate button. Here is how the Characteristic Impedance of Line calculation can be explained with given input values -> 0.861278 = sqrt(2931*pi*10^-7/0.0014)*(0.2123/0.2).

FAQ

What is Characteristic Impedance of Line?

Characteristic Impedance of Line is the ratio of voltage to current along the line, determining how electrical signals propagate without distortion, influenced by the line's geometry and dielectric properties and is represented as Z_o = sqrt(μ*pi*10^-7/∈')*(p_d/p_b) or Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width). 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, Plate Distance typically refers to the separation between the conductive elements & Plate Width represents the width of the conductive elements in the transmission line.

How to calculate Characteristic Impedance of Line?

Characteristic Impedance of Line is the ratio of voltage to current along the line, determining how electrical signals propagate without distortion, influenced by the line's geometry and dielectric properties is calculated using Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width). To calculate Characteristic Impedance of Line, you need Magnetic Permeability (μ), Dielectric Permitivitty (∈'), Plate Distance (p_d) & Plate Width (p_b). With our tool, you need to enter the respective value for Magnetic Permeability, Dielectric Permitivitty, Plate Distance & Plate Width 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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