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Gain of Parabolic Reflector Antenna Formula

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The gain of parabolic reflector antenna in a transmission line depends on the efficiency of the antenna, the size of the reflector, and the operating frequency. Check FAQs

G pr = 10 \cdot \log 10 (k \cdot {(π \cdot \frac{D}{λ})}^{2})

G_pr - Gain of Parabolic Reflector Antenna?k - Efficiency Factor of Parabolic Reflector?D - Parabolic Reflector Diameter?λ - Wavelength?π - Archimedes' constant?

Gain of Parabolic Reflector Antenna Example

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Here is how the Gain of Parabolic Reflector Antenna equation looks like with Values.

Here is how the Gain of Parabolic Reflector Antenna equation looks like with Units.

Here is how the Gain of Parabolic Reflector Antenna equation looks like.

0.3941 = 10 \cdot \log 10 (0.75 \cdot {(3.1416 \cdot \frac{3}{7.8})}^{2})

0.3941dB = 10 \cdot \log 10 (0.75 \cdot {(3.1416 \cdot \frac{3m}{7.8m})}^{2})

0.3941 = 10 \cdot \log 10 (0.75 \cdot {(3.1416 \cdot \frac{3}{7.8})}^{2})

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Gain of Parabolic Reflector Antenna Solution

Follow our step by step solution on how to calculate Gain of Parabolic Reflector Antenna?

FIRST Step Consider the formula

G pr = 10 \cdot \log 10 (k \cdot {(π \cdot \frac{D}{λ})}^{2})

Next Step Substitute values of Variables

∴

G pr = 10 \cdot \log 10 (0.75 \cdot {(π \cdot \frac{3m}{7.8m})}^{2})

Next Step Substitute values of Constants

∴

G pr = 10 \cdot \log 10 (0.75 \cdot {(3.1416 \cdot \frac{3m}{7.8m})}^{2})

Next Step Prepare to Evaluate

∴

G pr = 10 \cdot \log 10 (0.75 \cdot {(3.1416 \cdot \frac{3}{7.8})}^{2})

Next Step Evaluate

∴

G pr = 0.394143128383319dB

LAST Step Rounding Answer

∴

G pr = 0.3941dB

Gain of Parabolic Reflector Antenna Formula Elements

Variables

Constants

Functions

Gain of Parabolic Reflector Antenna

The gain of parabolic reflector antenna in a transmission line depends on the efficiency of the antenna, the size of the reflector, and the operating frequency.

Symbol: G_pr

Measurement: NoiseUnit: dB

Note: Value can be positive or negative.

Formulas to find Gain of Parabolic Reflector Antenna

Efficiency Factor of Parabolic Reflector

The efficiency factor of parabolic reflector in a transmission line is the fraction of power that is effectively radiated by the reflector compared to the total power incident on the reflector.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Efficiency Factor of Parabolic Reflector

Parabolic Reflector Diameter

Parabolic Reflector Diameter refers to the width of the reflector from one edge to the opposite edge, passing through the center.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Parabolic Reflector Diameter

Wavelength

The wavelength of an electromagnetic wave is an important parameter in the design and operation of transmission lines and antennas.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

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How to Evaluate Gain of Parabolic Reflector Antenna?

Gain of Parabolic Reflector Antenna evaluator uses Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2) to evaluate the Gain of Parabolic Reflector Antenna, The Gain of Parabolic Reflector Antenna formula is defined as the gain of an isotropic source, i.e. relative to a source that radiates equally in all directions. This is a theoretical source that is used as the benchmark against which most antennas are compared. Gain of Parabolic Reflector Antenna is denoted by G_pr symbol.

How to evaluate Gain of Parabolic Reflector Antenna using this online evaluator? To use this online evaluator for Gain of Parabolic Reflector Antenna, enter Efficiency Factor of Parabolic Reflector (k), Parabolic Reflector Diameter (D) & Wavelength (λ) and hit the calculate button.

FAQs on Gain of Parabolic Reflector Antenna

What is the formula to find Gain of Parabolic Reflector Antenna?

The formula of Gain of Parabolic Reflector Antenna is expressed as Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2). Here is an example- 0.394143 = 10*log10(0.75*(pi*3/7.8)^2).

How to calculate Gain of Parabolic Reflector Antenna?

With Efficiency Factor of Parabolic Reflector (k), Parabolic Reflector Diameter (D) & Wavelength (λ) we can find Gain of Parabolic Reflector Antenna using the formula - Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2). This formula also uses Archimedes' constant and Common Logarithm (log10) function(s).

Can the Gain of Parabolic Reflector Antenna be negative?

Yes, the Gain of Parabolic Reflector Antenna, measured in Noise can be negative.

Which unit is used to measure Gain of Parabolic Reflector Antenna?

Gain of Parabolic Reflector Antenna is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Gain of Parabolic Reflector Antenna can be measured.

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