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Transmitted Gain Formula

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Transmitted Gain is a parameter used to describe the ability of an antenna to concentrate and direct electromagnetic energy in a specific direction when it is used to transmit signals. Check FAQs

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

G_trns - Transmitted Gain?A_eff - Effective Area of Receiving Antenna?λ - Wavelength?π - Archimedes' constant?

Transmitted Gain Example

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

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

Here is how the Transmitted Gain equation looks like.

656.9888 = \frac{4 \cdot 3.1416 \cdot 17.5875}{{0.58}^{2}}

656.9888 = \frac{4 \cdot 3.1416 \cdot 17.5875m²}{{0.58m}^{2}}

656.9888 = \frac{4 \cdot 3.1416 \cdot 17.5875}{{0.58}^{2}}

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Transmitted Gain Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G trns = \frac{4 \cdot π \cdot 17.5875m²}{{0.58m}^{2}}

Next Step Substitute values of Constants

∴

G trns = \frac{4 \cdot 3.1416 \cdot 17.5875m²}{{0.58m}^{2}}

Next Step Prepare to Evaluate

∴

G trns = \frac{4 \cdot 3.1416 \cdot 17.5875}{{0.58}^{2}}

Next Step Evaluate

∴

G trns = 656.988832283121

LAST Step Rounding Answer

∴

G trns = 656.9888

Transmitted Gain Formula Elements

Variables

Constants

Transmitted Gain

Transmitted Gain is a parameter used to describe the ability of an antenna to concentrate and direct electromagnetic energy in a specific direction when it is used to transmit signals.

Symbol: G_trns

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transmitted 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

Wavelength

Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

Symbol: λ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 and Antenna Specifications category

Go Range of Target

R t = \frac{[c] \cdot T run}{2}

Go Measured Runtime

T run = 2 \cdot \frac{R t}{[c]}

Go Maximum Unambiguous Range

R un = \frac{[c] \cdot T pulse}{2}

Go Pulse Repetition Time

T pulse = \frac{2 \cdot R un}{[c]}

How to Evaluate Transmitted Gain?

Transmitted Gain evaluator uses Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2 to evaluate the Transmitted Gain, The Transmitted Gain formula is defined as how well the antenna converts input power into radio waves headed in a specified direction. Transmitted Gain is denoted by G_trns symbol.

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

FAQs on Transmitted Gain

What is the formula to find Transmitted Gain?

The formula of Transmitted Gain is expressed as Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2. Here is an example- 656.9888 = (4*pi*17.5875)/0.58^2.

How to calculate Transmitted Gain?

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

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