Radiation Efficiency of Antenna Calculator

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✖Maximum Gain represents the highest possible increase in power achieved by the system compared to a reference case.ⓘ Maximum Gain [G]			+10% -10%
✖Maximum Directivity represents the sharpness or concentration of the radiated beam. It's a measure of how tightly the system confines its radiation within a specific solid angle.ⓘ Maximum Directivity [D_max]			+10% -10%

✖Radiation Efficiency of Antenna refers to how effectively an antenna converts the radio-frequency (RF) power it receives into radiated power.ⓘ Radiation Efficiency of Antenna [η_r]

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Formula

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Radiation Efficiency of Antenna

Formula

`"η"_{"r"} = "G"/"D"_{"max"}`

Example

`"3.03125"="9.7"/"3.2"`

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Radiation Efficiency of Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
η_r = G/D_max
This formula uses 3 Variables

Variables Used

Radiation Efficiency of Antenna - Radiation Efficiency of Antenna refers to how effectively an antenna converts the radio-frequency (RF) power it receives into radiated power.
Maximum Gain - Maximum Gain represents the highest possible increase in power achieved by the system compared to a reference case.
Maximum Directivity - Maximum Directivity represents the sharpness or concentration of the radiated beam. It's a measure of how tightly the system confines its radiation within a specific solid angle.

STEP 1: Convert Input(s) to Base Unit

Maximum Gain: 9.7 --> No Conversion Required
Maximum Directivity: 3.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_r = G/D_max --> 9.7/3.2

Evaluating ... ...

η_r = 3.03125

STEP 3: Convert Result to Output's Unit

3.03125 --> No Conversion Required

FINAL ANSWER

3.03125 <-- Radiation Efficiency of Antenna

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 17 Electromagnetic Radiation and Antennas Calculators

Average Power Density of Half-Wave Dipole

Go Average Power Density = (0.609*Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Magnetic Field for Hertzian Dipole

Go Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Wavelength of Dipole)+2*pi*Dipole Distance/Wavelength of Dipole*sin(2*pi*Dipole Distance/Wavelength of Dipole))

Maximum Power Density of Half-Wave Dipole

Go Maximum Power Density = (Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Power Radiated by Half-Wave Dipole

Go Power Radiated by Half-wave Dipole = ((0.609*Intrinsic Impedance of Medium*(Amplitude of Oscillating Current)^2)/pi)*sin(((Angular Frequency of Half Wave Dipole*Time)-((pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Power that Crosses Surface of Sphere

Go Power Crossed at Sphere Surface = pi*((Amplitude of Oscillating Current*Wavenumber*Short Antenna Length)/(4*pi))^2*Intrinsic Impedance of Medium*(int(sin(Theta)^3*x,x,0,pi))

Electric Field due to N Point Charges

Go Electric Field due to N Point Charges = sum(x,1,Number of Point Charges,(Charge)/(4*pi*[Permitivity-vacuum]*(Distance from Electric Field-Charge Distance)^2))

Poynting Vector Magnitude

Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2

Total Radiated Power in Free Space

Go Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi)

Radiated Resistance

Go Radiation Resistance = 60*(int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi))

Time Average Radiated Power of Half-Wave Dipole

Go Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi)

Polarization

Go Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength

Radiation Resistance of Half-Wave Dipole

Go Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi

Directivity of Half-Wave Dipole

Go Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density

Electric Field for Hertzian Dipole

Go Electric Field Component = Intrinsic Impedance*Magnetic Field Component

Radiation Efficiency of Antenna

Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity

Average Power

Go Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance

Radiation Resistance of Antenna

Go Radiation Resistance = 2*Average Power/Sinusoidal Current^2

Radiation Efficiency of Antenna Formula

Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
η_r = G/D_max

In a perfect system with no energy loss, can efficiency ever be greater than 100%?

Even if a system is perfect, it can't radiate more power than it gets. Its radiation efficiency can reach 100% (all input focused in one direction), but never exceed it.

How to Calculate Radiation Efficiency of Antenna?

Radiation Efficiency of Antenna calculator uses Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity to calculate the Radiation Efficiency of Antenna, The Radiation Efficiency of Antenna formula states that the radiation efficiency of a system is determined by the ratio of its ability to amplify the signal to its ability to concentrate the signal in a specific direction. A high efficiency requires both a high gain and high directivity to minimize signal loss in unwanted directions. Radiation Efficiency of Antenna is denoted by η_r symbol.

How to calculate Radiation Efficiency of Antenna using this online calculator? To use this online calculator for Radiation Efficiency of Antenna, enter Maximum Gain (G) & Maximum Directivity (D_max) and hit the calculate button. Here is how the Radiation Efficiency of Antenna calculation can be explained with given input values -> 3.03125 = 9.7/3.2.

FAQ

What is Radiation Efficiency of Antenna?

The Radiation Efficiency of Antenna formula states that the radiation efficiency of a system is determined by the ratio of its ability to amplify the signal to its ability to concentrate the signal in a specific direction. A high efficiency requires both a high gain and high directivity to minimize signal loss in unwanted directions and is represented as η_r = G/D_max or Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity. Maximum Gain represents the highest possible increase in power achieved by the system compared to a reference case & Maximum Directivity represents the sharpness or concentration of the radiated beam. It's a measure of how tightly the system confines its radiation within a specific solid angle.

How to calculate Radiation Efficiency of Antenna?

The Radiation Efficiency of Antenna formula states that the radiation efficiency of a system is determined by the ratio of its ability to amplify the signal to its ability to concentrate the signal in a specific direction. A high efficiency requires both a high gain and high directivity to minimize signal loss in unwanted directions is calculated using Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity. To calculate Radiation Efficiency of Antenna, you need Maximum Gain (G) & Maximum Directivity (D_max). With our tool, you need to enter the respective value for Maximum Gain & Maximum Directivity 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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