Phase Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Velocity = [c]*sin(Pitch Angle)
Vp = [c]*sin(ψp)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Phase Velocity - (Measured in Meter per Second) - Phase Velocity of a wave is the rate at which the wave propagates in some medium.
Pitch Angle - (Measured in Radian) - Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam.
STEP 1: Convert Input(s) to Base Unit
Pitch Angle: 32.49 Degree --> 0.567057473972851 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vp = [c]*sin(ψp) --> [c]*sin(0.567057473972851)
Evaluating ... ...
Vp = 161034238.492822
STEP 3: Convert Result to Output's Unit
161034238.492822 Meter per Second --> No Conversion Required
FINAL ANSWER
161034238.492822 1.6E+8 Meter per Second <-- Phase Velocity
(Calculation completed in 00.004 seconds)

Credits

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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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13 Helix Tube Calculators

Input Current during Gain Consideration
​ Go Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance)))
Round Trip DC Transit Time
​ Go DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage))
DC Voltage
​ Go DC Voltage = (0.5*[Mass-e]*Electron Uniform Velocity^2)/[Charge-e]
Reflection Coefficient
​ Go Reflection Coefficient = (Voltage Standing Wave Ratio-1)/(Voltage Standing Wave Ratio+1)
Insertion Loss
​ Go Insertion Loss = 20*log10(Voltage/Input Signal Amplitude)
Pitch Angle
​ Go Pitch Angle = arsin(Phase Velocity/[c])
Phase Velocity
​ Go Phase Velocity = [c]*sin(Pitch Angle)
Voltage Standing Wave Ratio
​ Go Voltage Standing Wave Ratio = Maximum Voltage/Minimum Voltage
Ratio of Voltage Wave
​ Go Voltage Standing Wave Ratio = sqrt(Power Standing Wave Ratio)
Saturation Drift Voltage
​ Go Saturation Drift Velocity = Gate Length/DC Transient Time
Gate Length
​ Go Gate Length = DC Transient Time*Saturation Drift Velocity
Mismatched Loss
​ Go Mismatched Loss = -10*log10(1-Reflection Coefficient^2)
Power Standing Wave Ratio
​ Go Power Standing Wave Ratio = Voltage Standing Wave Ratio^2

Phase Velocity Formula

Phase Velocity = [c]*sin(Pitch Angle)
Vp = [c]*sin(ψp)

What is Transmission Line?

A transmission line is used for the transmission of electrical power from generating substation to the various distribution units. It transmits the wave of voltage and current from one end to another.

How to Calculate Phase Velocity?

Phase Velocity calculator uses Phase Velocity = [c]*sin(Pitch Angle) to calculate the Phase Velocity, The Phase Velocity formula is defined as a wave is the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels. Phase Velocity is denoted by Vp symbol.

How to calculate Phase Velocity using this online calculator? To use this online calculator for Phase Velocity, enter Pitch Angle p) and hit the calculate button. Here is how the Phase Velocity calculation can be explained with given input values -> 1.6E+8 = [c]*sin(0.567057473972851).

FAQ

What is Phase Velocity?
The Phase Velocity formula is defined as a wave is the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels and is represented as Vp = [c]*sin(ψp) or Phase Velocity = [c]*sin(Pitch Angle). Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam.
How to calculate Phase Velocity?
The Phase Velocity formula is defined as a wave is the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels is calculated using Phase Velocity = [c]*sin(Pitch Angle). To calculate Phase Velocity, you need Pitch Angle p). With our tool, you need to enter the respective value for Pitch Angle 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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