## Radiation Efficiency of Antenna Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
ηr = G/Dmax
This formula uses 3 Variables
Variables Used
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
ηr = G/Dmax --> 9.7/3.2
Evaluating ... ...
ηr = 3.03125
STEP 3: Convert Result to Output's Unit
3.03125 --> No Conversion Required
3.03125 <-- Radiation Efficiency of Antenna
(Calculation completed in 00.004 seconds)
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## Credits

Created by Gowthaman N
Vellore Institute of Technology (VIT University), Chennai
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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## <Electromagnetic Radiation and Antennas Calculators

Poynting Vector Magnitude
​ Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2
​ Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
Average Power
​ Go Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance
​ Go Radiation Resistance = 2*Average Power/Sinusoidal Current^2

## Radiation Efficiency of Antenna Formula

Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
ηr = G/Dmax

## 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, Radiation Efficiency of Antenna is the ratio of its radiated power to the input power from the transmitter, accounting for losses due to resistance, mismatch, and other factors. Radiation Efficiency of Antenna is denoted by ηr 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 (Dmax) 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?
Radiation Efficiency of Antenna is the ratio of its radiated power to the input power from the transmitter, accounting for losses due to resistance, mismatch, and other factors and is represented as ηr = G/Dmax 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?
Radiation Efficiency of Antenna is the ratio of its radiated power to the input power from the transmitter, accounting for losses due to resistance, mismatch, and other factors is calculated using Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity. To calculate Radiation Efficiency of Antenna, you need Maximum Gain (G) & Maximum Directivity (Dmax). 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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