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Maximum Gain of Antenna given Antenna Diameter Formula

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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. Check FAQs

G max = (\frac{η a}{43}) \cdot {(\frac{D}{e})}^{2}

G_max - Maximum Gain of Antenna?η_a - Antenna Aperture Efficiency?D - Antenna Diameter?e - Dielectric Constant of Artificial Dielectric?

Maximum Gain of Antenna given Antenna Diameter Example

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Here is how the Maximum Gain of Antenna given Antenna Diameter equation looks like with Values.

Here is how the Maximum Gain of Antenna given Antenna Diameter equation looks like with Units.

Here is how the Maximum Gain of Antenna given Antenna Diameter equation looks like.

1.5 = (\frac{0.7}{43}) \cdot {(\frac{9.6951}{1.01})}^{2}

1.5dB = (\frac{0.7}{43}) \cdot {(\frac{9.6951m}{1.01})}^{2}

1.5 = (\frac{0.7}{43}) \cdot {(\frac{9.6951}{1.01})}^{2}

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Maximum Gain of Antenna given Antenna Diameter Solution

Follow our step by step solution on how to calculate Maximum Gain of Antenna given Antenna Diameter?

FIRST Step Consider the formula

G max = (\frac{η a}{43}) \cdot {(\frac{D}{e})}^{2}

Next Step Substitute values of Variables

∴

G max = (\frac{0.7}{43}) \cdot {(\frac{9.6951m}{1.01})}^{2}

Next Step Prepare to Evaluate

∴

G max = (\frac{0.7}{43}) \cdot {(\frac{9.6951}{1.01})}^{2}

Next Step Evaluate

∴

G max = 1.50000056553963dB

LAST Step Rounding Answer

∴

G max = 1.5dB

Maximum Gain of Antenna given Antenna Diameter Formula Elements

Variables

Maximum Gain of Antenna

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.

Symbol: G_max

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Maximum Gain of Antenna

Antenna Aperture Efficiency

Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.

Symbol: η_a

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Antenna Aperture Efficiency

Antenna Diameter

Antenna Diameter specifically represents the cross-sectional size or the physical width of the antenna.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Antenna Diameter

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.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dielectric Constant of Artificial Dielectric

Other formulas in Radar Antennas Reception category

Go Directive Gain

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Go Spacing between Centers of Metallic Sphere

s = \frac{λ m}{2 \cdot \sqrt{1 - {η m}^{2}}}

Go Effective Aperture of Lossless Antenna

A e = η a \cdot A

Go Dielectric Constant of Artificial Dielectric

e = 1 + \frac{4 \cdot π \cdot a^{3}}{s^{3}}

How to Evaluate Maximum Gain of Antenna given Antenna Diameter?

Maximum Gain of Antenna given Antenna Diameter evaluator uses Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2 to evaluate 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 G_max symbol.

How to evaluate Maximum Gain of Antenna given Antenna Diameter using this online evaluator? To use this online evaluator for Maximum Gain of Antenna given Antenna Diameter, enter Antenna Aperture Efficiency (η_a), Antenna Diameter (D) & Dielectric Constant of Artificial Dielectric (e) and hit the calculate button.

FAQs on Maximum Gain of Antenna given Antenna Diameter

What is the formula to find Maximum Gain of Antenna given Antenna Diameter?

The formula of Maximum Gain of Antenna given Antenna Diameter is expressed as Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2. Here is an example- 1.49997 = (0.7/43)*(9.6951/1.01)^2.

How to calculate Maximum Gain of Antenna given Antenna Diameter?

With Antenna Aperture Efficiency (η_a), Antenna Diameter (D) & Dielectric Constant of Artificial Dielectric (e) we can find Maximum Gain of Antenna given Antenna Diameter using the formula - Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2.

Can the Maximum Gain of Antenna given Antenna Diameter be negative?

Yes, the Maximum Gain of Antenna given Antenna Diameter, measured in Sound can be negative.

Which unit is used to measure Maximum Gain of Antenna given Antenna Diameter?

Maximum Gain of Antenna given Antenna Diameter is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Maximum Gain of Antenna given Antenna Diameter can be measured.

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