Phase Velocity in Microstrip Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Velocity = [c]/sqrt(Dielectric Permitivitty)
vp = [c]/sqrt(∈')
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
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
Phase Velocity - (Measured in Meter per Second) - The Phase Velocity is the speed at which the phase of a wave propagates through a medium.
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.
STEP 1: Convert Input(s) to Base Unit
Dielectric Permitivitty: 1.4 Microfarad per Millimeter --> 0.0014 Farad per Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vp = [c]/sqrt(∈') --> [c]/sqrt(0.0014)
Evaluating ... ...
vp = 8012290464.10583
STEP 3: Convert Result to Output's Unit
8012290464.10583 Meter per Second -->801229046410.583 Centimeter per Second (Check conversion here)
FINAL ANSWER
801229046410.583 8E+11 Centimeter per Second <-- Phase Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Gowthaman N
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)

Phase Velocity in Microstrip Line Formula

Phase Velocity = [c]/sqrt(Dielectric Permitivitty)
vp = [c]/sqrt(∈')

How does the effective permittivity of a material influence the speed of an electromagnetic wave?

The phase velocity is inversely proportional to the square root of the effective permittivity. As permittivity increases, the wave's speed decreases, indicating that materials affecting the electric field slow down the propagation of electromagnetic waves.

How to Calculate Phase Velocity in Microstrip Line?

Phase Velocity in Microstrip Line calculator uses Phase Velocity = [c]/sqrt(Dielectric Permitivitty) to calculate the Phase Velocity, The Phase Velocity in Microstrip Line formula expresses that the speed at which an electromagnetic wave travels through a medium is determined by dividing the speed of light in a vacuum by the square root of the effective permittivity of that medium. Phase Velocity is denoted by vp symbol.

How to calculate Phase Velocity in Microstrip Line using this online calculator? To use this online calculator for Phase Velocity in Microstrip Line, enter Dielectric Permitivitty (∈') and hit the calculate button. Here is how the Phase Velocity in Microstrip Line calculation can be explained with given input values -> 8E+9 = [c]/sqrt(0.0014).

FAQ

What is Phase Velocity in Microstrip Line?
The Phase Velocity in Microstrip Line formula expresses that the speed at which an electromagnetic wave travels through a medium is determined by dividing the speed of light in a vacuum by the square root of the effective permittivity of that medium and is represented as vp = [c]/sqrt(∈') or Phase Velocity = [c]/sqrt(Dielectric Permitivitty). Dielectric Permitivitty is a measure of a material's ability to permit the electric field lines to pass through it.
How to calculate Phase Velocity in Microstrip Line?
The Phase Velocity in Microstrip Line formula expresses that the speed at which an electromagnetic wave travels through a medium is determined by dividing the speed of light in a vacuum by the square root of the effective permittivity of that medium is calculated using Phase Velocity = [c]/sqrt(Dielectric Permitivitty). To calculate Phase Velocity in Microstrip Line, you need Dielectric Permitivitty (∈'). With our tool, you need to enter the respective value for Dielectric Permitivitty 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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