Maximum Gain of Antenna given Antenna Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Gmax = (ηa/43)*(D/e)^2
This formula uses 4 Variables
Variables Used
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.
Antenna Aperture Efficiency - Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.
Antenna Diameter - (Measured in Meter) - Antenna Diameter specifically represents the cross-sectional size or the physical width of the antenna.
Dielectric Constant of Artificial Dielectric - Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.
STEP 1: Convert Input(s) to Base Unit
Antenna Aperture Efficiency: 0.7 --> No Conversion Required
Antenna Diameter: 9.6951 Meter --> 9.6951 Meter No Conversion Required
Dielectric Constant of Artificial Dielectric: 1.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gmax = (ηa/43)*(D/e)^2 --> (0.7/43)*(9.6951/1.01)^2
Evaluating ... ...
Gmax = 1.50000056553963
STEP 3: Convert Result to Output's Unit
1.50000056553963 Decibel --> No Conversion Required
FINAL ANSWER
1.50000056553963 1.500001 Decibel <-- Maximum Gain of Antenna
(Calculation completed in 00.004 seconds)

Credits

Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
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Vellore Institute of Technology (VIT Vellore), Vellore
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14 Radar Antennas Reception Calculators

Omnidirectional SIR
Go Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))
Dielectric Constant of Artificial Dielectric
Go Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)
Maximum Gain of Antenna given Antenna Diameter
Go Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Metal-Plate Lens Refractive Index
Go Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
Spacing between Centers of Metallic Sphere
Go Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))
Overall Noise Figure of Cascaded Networks
Go Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1
Receiver Antenna Gain
Go Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Luneburg Lens Refractive Index
Go Luneburg Lens Refractive Index = sqrt(2-(Radial Distance/Radius of Luneburg Lens)^2)
Likelihood Ratio Receiver
Go Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Frequency Reuse Ratio
Go Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)
Directive Gain
Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
Signal to Co-channel Interference Ratio
Go Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent
Effective Aperture of Lossless Antenna
Go Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
Effective Noise Temperature
Go Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1

Maximum Gain of Antenna given Antenna Diameter Formula

Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Gmax = (ηa/43)*(D/e)^2

What is the significance of Maximum Gain of Antenna?

The maximum gain of an antenna is crucial because it indicates the antenna's ability to focus or direct electromagnetic waves in a specific direction. A higher gain implies that more energy is concentrated in the desired direction, increasing the antenna's effective range and signal strength. This is particularly important in communication systems, where a stronger signal can improve data transmission and reception quality.

How to Calculate Maximum Gain of Antenna given Antenna Diameter?

Maximum Gain of Antenna given Antenna Diameter calculator uses Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2 to calculate the Maximum Gain of Antenna, Maximum Gain of Antenna given Antenna Diameter and Dielectric Constant is a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator. Maximum Gain of Antenna is denoted by Gmax symbol.

How to calculate Maximum Gain of Antenna given Antenna Diameter using this online calculator? To use this online calculator for Maximum Gain of Antenna given Antenna Diameter, enter Antenna Aperture Efficiency a), Antenna Diameter (D) & Dielectric Constant of Artificial Dielectric (e) and hit the calculate button. Here is how the Maximum Gain of Antenna given Antenna Diameter calculation can be explained with given input values -> 1.49997 = (0.7/43)*(9.6951/1.01)^2.

FAQ

What is Maximum Gain of Antenna given Antenna Diameter?
Maximum Gain of Antenna given Antenna Diameter and Dielectric Constant is a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator and is represented as Gmax = (ηa/43)*(D/e)^2 or Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2. Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently, Antenna Diameter specifically represents the cross-sectional size or the physical width of the antenna & Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.
How to calculate Maximum Gain of Antenna given Antenna Diameter?
Maximum Gain of Antenna given Antenna Diameter and Dielectric Constant is a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator is calculated using Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2. To calculate Maximum Gain of Antenna given Antenna Diameter, you need Antenna Aperture Efficiency a), Antenna Diameter (D) & Dielectric Constant of Artificial Dielectric (e). With our tool, you need to enter the respective value for Antenna Aperture Efficiency, Antenna Diameter & Dielectric Constant of Artificial Dielectric 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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