Maximum Power Density Radiated by Antenna Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna
ρmax = ρ*Gmax
This formula uses 3 Variables
Variables Used
Maximum Radiated Power Density - (Measured in Watt Per Cubic Meter) - Maximum Radiated Power Density represents the maximum level of electromagnetic energy per unit area that is transmitted by the radar system in a specific direction.
Lossless Isotropic Power Density - (Measured in Watt Per Cubic Meter) - Lossless Isotropic Power Density represents the idealized electromagnetic energy distribution from an isotropic antenna radiating in a lossless medium.
Maximum Gain of Antenna - (Measured in Decibel) - Maximum Gain of Antenna s a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator.
STEP 1: Convert Input(s) to Base Unit
Lossless Isotropic Power Density: 10 Kilowatt Per Cubic Meter --> 10000 Watt Per Cubic Meter (Check conversion here)
Maximum Gain of Antenna: 1.5 Decibel --> 1.5 Decibel No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρmax = ρ*Gmax --> 10000*1.5
Evaluating ... ...
ρmax = 15000
STEP 3: Convert Result to Output's Unit
15000 Watt Per Cubic Meter -->15 Kilowatt Per Cubic Meter (Check conversion here)
FINAL ANSWER
15 Kilowatt Per Cubic Meter <-- Maximum Radiated Power Density
(Calculation completed in 00.004 seconds)

Credits

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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

Maximum Power Density Radiated by Antenna Formula

Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna
ρmax = ρ*Gmax

What is Antenna gain?

In electromagnetics, an antenna's power gain or simply gain is a key performance number that combines the antenna's directivity and electrical efficiency.

How to Calculate Maximum Power Density Radiated by Antenna?

Maximum Power Density Radiated by Antenna calculator uses Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna to calculate the Maximum Radiated Power Density, The Maximum Power Density Radiated by Antenna formula is defined as Power transmitted from an antenna spreads out in a sphere. Maximum Radiated Power Density is denoted by ρmax symbol.

How to calculate Maximum Power Density Radiated by Antenna using this online calculator? To use this online calculator for Maximum Power Density Radiated by Antenna, enter Lossless Isotropic Power Density (ρ) & Maximum Gain of Antenna (Gmax) and hit the calculate button. Here is how the Maximum Power Density Radiated by Antenna calculation can be explained with given input values -> 0.5 = 10000*1.5 .

FAQ

What is Maximum Power Density Radiated by Antenna?
The Maximum Power Density Radiated by Antenna formula is defined as Power transmitted from an antenna spreads out in a sphere and is represented as ρmax = ρ*Gmax or Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna. Lossless Isotropic Power Density represents the idealized electromagnetic energy distribution from an isotropic antenna radiating in a lossless medium & Maximum Gain of Antenna s a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator.
How to calculate Maximum Power Density Radiated by Antenna?
The Maximum Power Density Radiated by Antenna formula is defined as Power transmitted from an antenna spreads out in a sphere is calculated using Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna. To calculate Maximum Power Density Radiated by Antenna, you need Lossless Isotropic Power Density (ρ) & Maximum Gain of Antenna (Gmax). With our tool, you need to enter the respective value for Lossless Isotropic Power Density & Maximum Gain of Antenna and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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