Pitch Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitch Angle = arsin(Phase Velocity/[c])
ψp = arsin(Vp/[c])
This formula uses 1 Constants, 2 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)
arsin - Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., arsin(Number)
Variables Used
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.
Phase Velocity - (Measured in Meter per Second) - Phase Velocity of a wave is the rate at which the wave propagates in some medium.
STEP 1: Convert Input(s) to Base Unit
Phase Velocity: 170000000 Meter per Second --> 170000000 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ψp = arsin(Vp/[c]) --> arsin(170000000/[c])
Evaluating ... ...
ψp = 0.602930828295161
STEP 3: Convert Result to Output's Unit
0.602930828295161 Radian -->34.5453917996462 Degree (Check conversion here)
FINAL ANSWER
34.5453917996462 34.54539 Degree <-- Pitch Angle
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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12 Helix Tube Calculators

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

Pitch Angle Formula

Pitch Angle = arsin(Phase Velocity/[c])
ψp = arsin(Vp/[c])

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 Pitch Angle?

Pitch Angle calculator uses Pitch Angle = arsin(Phase Velocity/[c]) to calculate the Pitch Angle, Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam. The helix is a key component of the TWT, which consists of a cylindrical metal wire wound in a helical pattern along the length of a vacuum tube. Pitch Angle is denoted by ψp symbol.

How to calculate Pitch Angle using this online calculator? To use this online calculator for Pitch Angle, enter Phase Velocity (Vp) and hit the calculate button. Here is how the Pitch Angle calculation can be explained with given input values -> 1979.305 = arsin(170000000/[c]).

FAQ

What is Pitch Angle?
Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam. The helix is a key component of the TWT, which consists of a cylindrical metal wire wound in a helical pattern along the length of a vacuum tube and is represented as ψp = arsin(Vp/[c]) or Pitch Angle = arsin(Phase Velocity/[c]). Phase Velocity of a wave is the rate at which the wave propagates in some medium.
How to calculate Pitch Angle?
Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam. The helix is a key component of the TWT, which consists of a cylindrical metal wire wound in a helical pattern along the length of a vacuum tube is calculated using Pitch Angle = arsin(Phase Velocity/[c]). To calculate Pitch Angle, you need Phase Velocity (Vp). With our tool, you need to enter the respective value for Phase Velocity 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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