Transmitted Gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2
Gtrns = (4*pi*Aeff)/λ^2
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Effective Area of Receiving Antenna - (Measured in Square Meter) - 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.
Wavelength - (Measured in Meter) - Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.
STEP 1: Convert Input(s) to Base Unit
Effective Area of Receiving Antenna: 17.5875 Square Meter --> 17.5875 Square Meter No Conversion Required
Wavelength: 0.58 Meter --> 0.58 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gtrns = (4*pi*Aeff)/λ^2 --> (4*pi*17.5875)/0.58^2
Evaluating ... ...
Gtrns = 656.988832283121
STEP 3: Convert Result to Output's Unit
656.988832283121 --> No Conversion Required
FINAL ANSWER
656.988832283121 656.9888 <-- Transmitted Gain
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

24 Radar & Antenna Specifications Calculators

Maximum Range of Radar
Go Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25
Minimum Detectable Signal
Go Minimum Detectable Signal = (Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Target Range^4)
N Scans
Go N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))
Transmitted Gain
Go Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2
Transmitted Frequency
Go Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)
Power Density Radiated by Lossless Antenna
Go Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna
Maximum Power Density Radiated by Antenna
Go Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna
Maximum Gain of Antenna
Go Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density
Target Height
Go Target Height = (Range Resolution*Range)/(2*Antenna Height)
Radar Antenna Height
Go Antenna Height = (Range Resolution*Range)/(2*Target Height)
Probability of Detection
Go Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans)
Cumulative Probability of Detection
Go Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans
Antenna Aperture Efficiency
Go Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area
Antenna Area
Go Antenna Area = Effective Area of Receiving Antenna/Antenna Aperture Efficiency
Effective Area of Receiving Antenna
Go Effective Area of Receiving Antenna = Antenna Area*Antenna Aperture Efficiency
Pulse Repetition Frequency
Go Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)
Maximum Unambiguous Range
Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2
Pulse Repetition Time
Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]
Target Velocity
Go Target Velocity = (Doppler Frequency Shift*Wavelength)/2
Doppler Frequency
Go Doppler Frequency = Doppler Angular Frequency/(2*pi)
Doppler Angular Frequency
Go Doppler Angular Frequency = 2*pi*Doppler Frequency
Radial Velocity
Go Radial Velocity = (Doppler Frequency*Wavelength)/2
Measured Runtime
Go Measured Runtime = 2*Target Range/[c]
Range of Target
Go Target Range = ([c]*Measured Runtime)/2

Transmitted Gain Formula

Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2
Gtrns = (4*pi*Aeff)/λ^2

What does gain mean in antenna?

Antenna gain is the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna. If an antenna could be made as a perfect sphere, it would radiate equally in all directions. Such an antenna is theoretically called an isotropic antenna and does not in fact exist.

How to Calculate Transmitted Gain?

Transmitted Gain calculator uses Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2 to calculate 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 Gtrns symbol.

How to calculate Transmitted Gain using this online calculator? To use this online calculator for Transmitted Gain, enter Effective Area of Receiving Antenna (Aeff) & Wavelength (λ) and hit the calculate button. Here is how the Transmitted Gain calculation can be explained with given input values -> 656.9888 = (4*pi*17.5875)/0.58^2 .

FAQ

What is Transmitted Gain?
The Transmitted Gain formula is defined as how well the antenna converts input power into radio waves headed in a specified direction and is represented as Gtrns = (4*pi*Aeff)/λ^2 or Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2. 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 & Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.
How to calculate Transmitted Gain?
The Transmitted Gain formula is defined as how well the antenna converts input power into radio waves headed in a specified direction is calculated using Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2. To calculate Transmitted Gain, you need Effective Area of Receiving Antenna (Aeff) & Wavelength (λ). With our tool, you need to enter the respective value for Effective Area of Receiving Antenna & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!