Pitch Angle of Helical Antenna Calculator

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Special Antennas

Antenna Theory Parameters

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✖Turn Spacing in the antenna is the spacing between each turn of the antenna.ⓘ Turn Spacing [S]			+10% -10%
✖Helix Diameter is the diameter of the helical antenna, measured between the center points of the conductor.ⓘ Helix Diameter [H_d]			+10% -10%

✖Pitch angle is the angle between a line tangent to the helix wire and plane normal to the helix axis.ⓘ Pitch Angle of Helical Antenna [α]

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Formula

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Pitch Angle of Helical Antenna

Formula

`"α" = arctan("S"/(pi*"H"_{"d"}))`

Example

`"48.30345°"=arctan("35.3m"/(pi*"10.01m"))`

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Pitch Angle of Helical Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter))
α = arctan(S/(pi*H_d))
This formula uses 1 Constants, 3 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(Number)

Variables Used

Pitch Angle - (Measured in Radian) - Pitch angle is the angle between a line tangent to the helix wire and plane normal to the helix axis.
Turn Spacing - (Measured in Meter) - Turn Spacing in the antenna is the spacing between each turn of the antenna.
Helix Diameter - (Measured in Meter) - Helix Diameter is the diameter of the helical antenna, measured between the center points of the conductor.

STEP 1: Convert Input(s) to Base Unit

Turn Spacing: 35.3 Meter --> 35.3 Meter No Conversion Required
Helix Diameter: 10.01 Meter --> 10.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = arctan(S/(pi*H_d)) --> arctan(35.3/(pi*10.01))

Evaluating ... ...

α = 0.843054205169629

STEP 3: Convert Result to Output's Unit

0.843054205169629 Radian -->48.303447856985 Degree (Check conversion here)

FINAL ANSWER

48.303447856985 ≈ 48.30345 Degree <-- Pitch Angle

(Calculation completed in 00.004 seconds)

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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

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< 7 Helical Antennas Calculators

Beam Width between First Null (BWFN) of Helical Antenna

Go Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna))

Gain of Helical Antenna

Go Helical Antenna Gain = 11.8+10*log10(Helix Circumference^2*Number of Turns of Helical Antenna*Turn Spacing)

Half-Power Beamwidth of Helical Antenna

Go Half Power Beam Width = 52/(Helix Circumference*sqrt(Number of Turns of Helical Antenna*Turn Spacing))

Pitch Angle of Helical Antenna

Go Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter))

Axial Ratio of Helical Antenna

Go Axial Ratio = ((2*Number of Turns of Helical Antenna)+1)/(2*Number of Turns of Helical Antenna)

Helix Circumference of Helical Antenna

Go Helix Circumference = Input Impedance/140

Input Impedance of Helical Antenna

Go Input Impedance = 140*Helix Circumference

Pitch Angle of Helical Antenna Formula

Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter))
α = arctan(S/(pi*H_d))

How is helical antenna constructed?

Helical antenna or helix antenna is the antenna in which the conducting wire is wound in helical shape and connected to the ground plate with a feeder line.

Where is the helical antenna used?

It is the simplest antenna, which provides circularly polarized waves. It is used in extra-terrestrial communications in which satellite relays etc., are involved.

How to Calculate Pitch Angle of Helical Antenna?

Pitch Angle of Helical Antenna calculator uses Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter)) to calculate the Pitch Angle, The Pitch Angle of Helical Antenna formula shows the angle at which the helical conductor is wound. When using a circumference Cλ of 1, it essentially expresses the same thing as the turn spacing Sλ. Similarly to the height A, this does not consider the pitch angle change in any impedance matching sections of the helix. Pitch Angle is denoted by α symbol.

How to calculate Pitch Angle of Helical Antenna using this online calculator? To use this online calculator for Pitch Angle of Helical Antenna, enter Turn Spacing (S) & Helix Diameter (H_d) and hit the calculate button. Here is how the Pitch Angle of Helical Antenna calculation can be explained with given input values -> 2767.584 = arctan(35.3/(pi*10.01)).

FAQ

What is Pitch Angle of Helical Antenna?

The Pitch Angle of Helical Antenna formula shows the angle at which the helical conductor is wound. When using a circumference Cλ of 1, it essentially expresses the same thing as the turn spacing Sλ. Similarly to the height A, this does not consider the pitch angle change in any impedance matching sections of the helix and is represented as α = arctan(S/(pi*H_d)) or Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter)). Turn Spacing in the antenna is the spacing between each turn of the antenna & Helix Diameter is the diameter of the helical antenna, measured between the center points of the conductor.

How to calculate Pitch Angle of Helical Antenna?

The Pitch Angle of Helical Antenna formula shows the angle at which the helical conductor is wound. When using a circumference Cλ of 1, it essentially expresses the same thing as the turn spacing Sλ. Similarly to the height A, this does not consider the pitch angle change in any impedance matching sections of the helix is calculated using Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter)). To calculate Pitch Angle of Helical Antenna, you need Turn Spacing (S) & Helix Diameter (H_d). With our tool, you need to enter the respective value for Turn Spacing & Helix Diameter 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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