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 a fundamental concept in wave physics that describes the speed at which the phase of the wave propagates through space.
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)

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Vellore Institute of Technology (VIT University), Chennai
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Phase Velocity in Microstrip Line Formula

​LaTeX ​Go
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, 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?
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?
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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