FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Characteristic Impedance of Line Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

Z_o - Characteristic Impedance?μ - Magnetic Permeability?∈' - Dielectric Permitivitty?p_d - Plate Distance?p_b - Plate Width?π - Archimedes' constant?

Characteristic Impedance of Line Example

With values

With units

Only example

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

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

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

0.8609 = \sqrt{29.31 \cdot 3.1416 \cdot \frac{10^{- 7}}{1.4}} \cdot (\frac{21.23}{20})

0.8609Ω = \sqrt{29.31H/cm \cdot 3.1416 \cdot \frac{10^{- 7}}{1.4μF/mm}} \cdot (\frac{21.23cm}{20cm})

0.8609 = \sqrt{29.31 \cdot 3.1416 \cdot \frac{10^{- 7}}{1.4}} \cdot (\frac{21.23}{20})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Electromagnetic Field Theory » fx Characteristic Impedance of Line

Characteristic Impedance of Line Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

Z o = \sqrt{29.31H/cm \cdot 3.1416 \cdot \frac{10^{- 7}}{1.4μF/mm}} \cdot (\frac{21.23cm}{20cm})

Next Step Convert Units

∴

Z o = \sqrt{2931H/m \cdot 3.1416 \cdot \frac{10^{- 7}}{0.0014F/m}} \cdot (\frac{0.2123m}{0.2m})

Next Step Prepare to Evaluate

∴

Z o = \sqrt{2931 \cdot 3.1416 \cdot \frac{10^{- 7}}{0.0014}} \cdot (\frac{0.2123}{0.2})

Next Step Evaluate

∴

Z o = 0.860872483028918Ω

LAST Step Rounding Answer

∴

Z o = 0.8609Ω

Characteristic Impedance of Line Formula Elements

Variables

Constants

Functions

Characteristic Impedance

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.

Symbol: Z_o

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Characteristic Impedance

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

Plate Distance

Plate Distance typically refers to the separation between the conductive elements.

Symbol: p_d

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Plate Distance

Plate Width

Plate Width represents the width of the conductive elements in the transmission line.

Symbol: p_b

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Plate Width

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

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 Conductance of Coaxial Cable

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

Go Inductance per unit Length of Coaxial Cable

L c = \frac{μ}{2} \cdot π \cdot \ln (\frac{b r}{a r})

How to Evaluate Characteristic Impedance of Line?

Characteristic Impedance of Line evaluator uses Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width) to evaluate 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 evaluate Characteristic Impedance of Line using this online evaluator? To use this online evaluator for Characteristic Impedance of Line, enter Magnetic Permeability (μ), Dielectric Permitivitty (∈'), Plate Distance (p_d) & Plate Width (p_b) and hit the calculate button.

FAQs on Characteristic Impedance of Line

What is the formula to find Characteristic Impedance of Line?

The formula of Characteristic Impedance of Line is expressed as Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width). Here is an example- 0.861278 = sqrt(2931*pi*10^-7/0.0014)*(0.2123/0.2).

How to calculate Characteristic Impedance of Line?

With Magnetic Permeability (μ), Dielectric Permitivitty (∈'), Plate Distance (p_d) & Plate Width (p_b) we can find Characteristic Impedance of Line using the formula - Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Characteristic Impedance of Line be negative?

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

Which unit is used to measure Characteristic Impedance of Line?

Characteristic Impedance of 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 Line can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Characteristic Impedance of Line Formula

Characteristic Impedance of Line Example

Characteristic Impedance of Line Solution

Characteristic Impedance of Line Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Characteristic Impedance of Line?

FAQs on Characteristic Impedance of Line

Variable Name