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Receiver Antenna Gain Formula

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Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction. Check FAQs

G r = \frac{4 \cdot π \cdot A eff}{{λ c}^{2}}

G_r - Receiver Antenna Gain?A_eff - Effective Area of Receiving Antenna?λ_c - Carrier Wavelength?π - Archimedes' constant?

Receiver Antenna Gain Example

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Here is how the Receiver Antenna Gain equation looks like with Values.

Here is how the Receiver Antenna Gain equation looks like with Units.

Here is how the Receiver Antenna Gain equation looks like.

142.5855 = \frac{4 \cdot 3.1416 \cdot 17.5875}{{1.245}^{2}}

142.5855dB = \frac{4 \cdot 3.1416 \cdot 17.5875m²}{{1.245m}^{2}}

142.5855 = \frac{4 \cdot 3.1416 \cdot 17.5875}{{1.245}^{2}}

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Receiver Antenna Gain Solution

Follow our step by step solution on how to calculate Receiver Antenna Gain?

FIRST Step Consider the formula

G r = \frac{4 \cdot π \cdot A eff}{{λ c}^{2}}

Next Step Substitute values of Variables

∴

G r = \frac{4 \cdot π \cdot 17.5875m²}{{1.245m}^{2}}

Next Step Substitute values of Constants

∴

G r = \frac{4 \cdot 3.1416 \cdot 17.5875m²}{{1.245m}^{2}}

Next Step Prepare to Evaluate

∴

G r = \frac{4 \cdot 3.1416 \cdot 17.5875}{{1.245}^{2}}

Next Step Evaluate

∴

G r = 142.58547002793dB

LAST Step Rounding Answer

∴

G r = 142.5855dB

Receiver Antenna Gain Formula Elements

Variables

Constants

Receiver Antenna Gain

Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction.

Symbol: G_r

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Receiver Antenna Gain

Effective Area of Receiving Antenna

Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal.

Symbol: A_eff

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Effective Area of Receiving Antenna

Carrier Wavelength

Carrier Wavelength refers to the wavelength of the electromagnetic wave that carries the information.

Symbol: λ_c

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Carrier Wavelength

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

Go Directive Gain

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Go Spacing between Centers of Metallic Sphere

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}}

How to Evaluate Receiver Antenna Gain?

Receiver Antenna Gain evaluator uses Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2 to evaluate the Receiver Antenna Gain, Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction. The gain of an antenna is a relative measure, often expressed in decibels (dB), and it indicates the ability of the antenna to focus its radiation pattern in a particular direction. Receiver Antenna Gain is denoted by G_r symbol.

How to evaluate Receiver Antenna Gain using this online evaluator? To use this online evaluator for Receiver Antenna Gain, enter Effective Area of Receiving Antenna (A_eff) & Carrier Wavelength (λ_c) and hit the calculate button.

FAQs on Receiver Antenna Gain

What is the formula to find Receiver Antenna Gain?

The formula of Receiver Antenna Gain is expressed as Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2. Here is an example- 142.5855 = (4*pi*17.5875)/1.245^2.

How to calculate Receiver Antenna Gain?

With Effective Area of Receiving Antenna (A_eff) & Carrier Wavelength (λ_c) we can find Receiver Antenna Gain using the formula - Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2. This formula also uses Archimedes' constant .

Can the Receiver Antenna Gain be negative?

No, the Receiver Antenna Gain, measured in Noise cannot be negative.

Which unit is used to measure Receiver Antenna Gain?

Receiver Antenna Gain is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Receiver Antenna Gain can be measured.

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Receiver Antenna Gain Formula

Receiver Antenna Gain Example

Receiver Antenna Gain Solution

Receiver Antenna Gain Formula Elements

Other formulas in Radar Antennas Reception category

How to Evaluate Receiver Antenna Gain?

FAQs on Receiver Antenna Gain

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