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Pitch Angle of Helical Antenna Formula

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Pitch angle is the angle between a line tangent to the helix wire and plane normal to the helix axis. Check FAQs

α = \arctan (\frac{S}{π \cdot H d})

α - Pitch Angle?S - Turn Spacing?H_d - Helix Diameter?π - Archimedes' constant?

Pitch Angle of Helical Antenna Example

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Here is how the Pitch Angle of Helical Antenna equation looks like with Values.

Here is how the Pitch Angle of Helical Antenna equation looks like with Units.

Here is how the Pitch Angle of Helical Antenna equation looks like.

48.3034 = \arctan (\frac{35.3}{3.1416 \cdot 10.01})

48.3034° = \arctan (\frac{35.3m}{3.1416 \cdot 10.01m})

48.3034 = \arctan (\frac{35.3}{3.1416 \cdot 10.01})

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Pitch Angle of Helical Antenna Solution

Follow our step by step solution on how to calculate Pitch Angle of Helical Antenna?

FIRST Step Consider the formula

α = \arctan (\frac{S}{π \cdot H d})

Next Step Substitute values of Variables

∴

α = \arctan (\frac{35.3m}{π \cdot 10.01m})

Next Step Substitute values of Constants

∴

α = \arctan (\frac{35.3m}{3.1416 \cdot 10.01m})

Next Step Prepare to Evaluate

∴

α = \arctan (\frac{35.3}{3.1416 \cdot 10.01})

Next Step Evaluate

∴

α = 0.843054205169629rad

Next Step Convert to Output's Unit

∴

α = 48.303447856985°

LAST Step Rounding Answer

∴

α = 48.3034°

Pitch Angle of Helical Antenna Formula Elements

Variables

Constants

Functions

Pitch Angle

Pitch angle is the angle between a line tangent to the helix wire and plane normal to the helix axis.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pitch Angle

Turn Spacing

Turn Spacing in the antenna is the spacing between each turn of the antenna.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Turn Spacing

Helix Diameter

Helix Diameter is the diameter of the helical antenna, measured between the center points of the conductor.

Symbol: H_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Helix Diameter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: 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.

Syntax: 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).

Syntax: arctan(Number)

Other formulas in Helical Antennas category

Go Input Impedance of Helical Antenna

Z h = 140 \cdot C λ

Go Gain of Helical Antenna

G a = 11.8 + 10 \cdot \log 10 ({C λ}^{2} \cdot n \cdot S)

Go Helix Circumference of Helical Antenna

C λ = \frac{Z h}{140}

Go Beam Width between First Null (BWFN) of Helical Antenna

BW fn = 115 \cdot \frac{{C λ}^{\frac{3}{2}}}{C \cdot \sqrt{S \cdot n}}

How to Evaluate Pitch Angle of Helical Antenna?

Pitch Angle of Helical Antenna evaluator uses Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter)) to evaluate 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 evaluate Pitch Angle of Helical Antenna using this online evaluator? To use this online evaluator for Pitch Angle of Helical Antenna, enter Turn Spacing (S) & Helix Diameter (H_d) and hit the calculate button.

FAQs on Pitch Angle of Helical Antenna

What is the formula to find Pitch Angle of Helical Antenna?

The formula of Pitch Angle of Helical Antenna is expressed as Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter)). Here is an example- 2767.584 = arctan(35.3/(pi*10.01)).

How to calculate Pitch Angle of Helical Antenna?

With Turn Spacing (S) & Helix Diameter (H_d) we can find Pitch Angle of Helical Antenna using the formula - Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter)). This formula also uses Archimedes' constant and , Tangent (tan), Cotangent (ctan), Inverse Tangent (arctan) function(s).

Can the Pitch Angle of Helical Antenna be negative?

No, the Pitch Angle of Helical Antenna, measured in Angle cannot be negative.

Which unit is used to measure Pitch Angle of Helical Antenna?

Pitch Angle of Helical Antenna is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Pitch Angle of Helical Antenna can be measured.

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Pitch Angle of Helical Antenna Formula

Pitch Angle of Helical Antenna Example

Pitch Angle of Helical Antenna Solution

Pitch Angle of Helical Antenna Formula Elements

Other formulas in Helical Antennas category

How to Evaluate Pitch Angle of Helical Antenna?

FAQs on Pitch Angle of Helical Antenna

Variable Name