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)
Zo = sqrt(μ*pi*10^-7/∈')*(pd/pb)
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Square root function, 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
Zo = sqrt(μ*pi*10^-7/∈')*(pd/pb) --> sqrt(2931*pi*10^-7/0.0014)*(0.2123/0.2)
Evaluating ... ...
Zo = 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)

Credits

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Vellore Institute of Technology (VIT University), Chennai
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12 Guided Waves in Field Theory Calculators

Characteristic Impedance of Line
Go Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)
Total Resistance of Coaxial Cable
Go Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)
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)
Radian Cutoff Angular Frequency
Go Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)
Inner Resistance of Coaxial Cable
Go Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)
Outer Resistance of Coaxial Cable
Go Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)
Inductance between Conductors
Go Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)
Magnitude of Wavevector
Go Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)
Skin Effect Resistivity
Go Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)
Cutoff Wavelength
Go Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
Phase Velocity in Microstrip Line
Go Phase Velocity = [c]/sqrt(Dielectric Permitivitty)

Characteristic Impedance of Line Formula

Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)
Zo = sqrt(μ*pi*10^-7/∈')*(pd/pb)

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, The Characteristic Impedance of Line formula is defined as 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 is denoted by Zo 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 (pd) & Plate Width (pb) 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?
The Characteristic Impedance of Line formula is defined as 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 and is represented as Zo = sqrt(μ*pi*10^-7/∈')*(pd/pb) 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?
The Characteristic Impedance of Line formula is defined as 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 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 (pd) & Plate Width (pb). 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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