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Directive Gain Formula

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Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction. Check FAQs

G d = \frac{4 \cdot π}{θ b \cdot φ b}

G_d - Directive Gain?θ_b - Beam Width in X-plane?φ_b - Beam Width in Y-plane?π - Archimedes' constant?

Directive Gain Example

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With units

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Here is how the Directive Gain equation looks like with Values.

Here is how the Directive Gain equation looks like with Units.

Here is how the Directive Gain equation looks like.

66.0367 = \frac{4 \cdot 3.1416}{24.45 \cdot 25.55}

66.0367 = \frac{4 \cdot 3.1416}{24.45° \cdot 25.55°}

66.0367 = \frac{4 \cdot 3.1416}{24.45 \cdot 25.55}

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Directive Gain Solution

Follow our step by step solution on how to calculate Directive Gain?

FIRST Step Consider the formula

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Next Step Substitute values of Variables

∴

G d = \frac{4 \cdot π}{24.45° \cdot 25.55°}

Next Step Substitute values of Constants

∴

G d = \frac{4 \cdot 3.1416}{24.45° \cdot 25.55°}

Next Step Convert Units

∴

G d = \frac{4 \cdot 3.1416}{0.4267rad \cdot 0.4459rad}

Next Step Prepare to Evaluate

∴

G d = \frac{4 \cdot 3.1416}{0.4267 \cdot 0.4459}

Next Step Evaluate

∴

G d = 66.0366997617805

LAST Step Rounding Answer

∴

G d = 66.0367

Directive Gain Formula Elements

Variables

Constants

Directive Gain

Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction.

Symbol: G_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Directive Gain

Beam Width in X-plane

Beam Width in X-plane is the angular width of the main lobe of the radiation pattern of an antenna along X-axis.

Symbol: θ_b

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Beam Width in X-plane

Beam Width in Y-plane

Beam Width in Y-plane is the angular width of the main lobe of the radiation pattern of an antenna along Y-axis.

Symbol: φ_b

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Beam Width in Y-plane

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

Other formulas in Radar Antennas Reception category

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s = \frac{λ m}{2 \cdot \sqrt{1 - {η m}^{2}}}

Go Effective Aperture of Lossless Antenna

A e = η a \cdot A

Go Dielectric Constant of Artificial Dielectric

e = 1 + \frac{4 \cdot π \cdot a^{3}}{s^{3}}

Go Metal-Plate Lens Refractive Index

η m = \sqrt{1 - {(\frac{λ m}{2 \cdot s})}^{2}}

How to Evaluate Directive Gain?

Directive Gain evaluator uses Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane) to evaluate the Directive Gain, Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction. It is also sometimes referred to as Directive Gain and this is descriptive of the antenna pattern. Directive Gain is denoted by G_d symbol.

How to evaluate Directive Gain using this online evaluator? To use this online evaluator for Directive Gain, enter Beam Width in X-plane (θ_b) & Beam Width in Y-plane (φ_b) and hit the calculate button.

FAQs on Directive Gain

What is the formula to find Directive Gain?

The formula of Directive Gain is expressed as Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane). Here is an example- 66.0367 = (4*pi)/(0.426733002112533*0.445931623884467).

How to calculate Directive Gain?

With Beam Width in X-plane (θ_b) & Beam Width in Y-plane (φ_b) we can find Directive Gain using the formula - Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane). This formula also uses Archimedes' constant .

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