Length of Binomial Array Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Binomial Array = (No of Element-1)*Wavelength/2
L = (n-1)*λ/2
This formula uses 3 Variables
Variables Used
Length of Binomial Array - (Measured in Meter) - Length of Binomial Array refers to the total physical length of an array of antenna elements arranged in a binomial pattern.
No of Element - No of element present in the pattern is denoted by the symbol n.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
STEP 1: Convert Input(s) to Base Unit
No of Element: 6 --> No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (n-1)*λ/2 --> (6-1)*90/2
Evaluating ... ...
L = 225
STEP 3: Convert Result to Output's Unit
225 Meter --> No Conversion Required
FINAL ANSWER
225 Meter <-- Length of Binomial Array
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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24 Antenna Theory Parameters Calculators

Distance between Transmitting and Receiving Point
Go Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength)
Height of Transmitting Antenna
Go Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver)
Height of Receiving Antenna
Go Height of Receiver = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Antenna Current)
Antenna Current
Go Antenna Current = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Height of Receiver)
Strength of Ground Wave
Go Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance)
Friis Formula
Go Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2
Power Density of Antenna
Go Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance)
Effective Area of Antenna
Go Effective Area Antenna = (Thermal Resistance*Incremental Temperature)/Power Density of Antenna
Noise Temperature of Antenna
Go Antenna Temperature = (Power Density of Antenna)/(Thermal Resistance*Bandwidth)
Total Power of Antenna
Go Total Power of Antenna = Thermal Resistance*Antenna Temperature*Bandwidth
Radiation Intensity
Go Radiation Intensity = Isotropic Radiation Intensity*Directivity of Antenna
Average Radiation Intensity
Go Average Radiation Intensity = Radiation Intensity/Directivity of Antenna
Directivity of Antenna
Go Directivity of Antenna = Radiation Intensity/Average Radiation Intensity
Radiation Resistance
Go Radiation Resistance = Total Antenna Resistance-Ohmic Resistance
Ohmic Resistance
Go Ohmic Resistance = Total Antenna Resistance-Radiation Resistance
Power Per Unit Bandwidth
Go Power per Unit = Thermal Resistance*Resistor Absolute Temperature
Total Antenna Resistance
Go Total Antenna Resistance = Ohmic Resistance+Radiation Resistance
Antenna Gain
Go Antenna Gain = Radiation Intensity/Isotropic Radiation Intensity
Length of Binomial Array
Go Length of Binomial Array = (No of Element-1)*Wavelength/2
Isotropic Radiation Intensity
Go Isotropic Radiation Intensity = Radiated Power/(4*pi)
Total Input Power
Go Total Input Power = Radiated Power/Antenna Efficiency
Antenna Efficiency
Go Antenna Efficiency = Radiated Power/Total Input Power
Duct Height
Go Duct Height = (Maximum Duct Wavelength/0.014)^(2/3)
Maximum Duct Wavelength
Go Maximum Duct Wavelength = 0.014*Duct Height^(3/2)

Length of Binomial Array Formula

Length of Binomial Array = (No of Element-1)*Wavelength/2
L = (n-1)*λ/2

What are radiation pattern?

In the field of antenna design the term radiation pattern (or antenna pattern or far-field pattern) refers to the directional (angular) dependence of the strength of the radio waves from the antenna or other source. ... Other software, like HFSS can also compute the near field.

How to Calculate Length of Binomial Array?

Length of Binomial Array calculator uses Length of Binomial Array = (No of Element-1)*Wavelength/2 to calculate the Length of Binomial Array, The Length of Binomial Array formula refers to the total physical length of an array of antenna elements arranged in a binomial pattern. In the context of antenna arrays, a binomial array is a specific arrangement of antenna elements that follows a binomial distribution. Length of Binomial Array is denoted by L symbol.

How to calculate Length of Binomial Array using this online calculator? To use this online calculator for Length of Binomial Array, enter No of Element (n) & Wavelength (λ) and hit the calculate button. Here is how the Length of Binomial Array calculation can be explained with given input values -> 225 = (6-1)*90/2.

FAQ

What is Length of Binomial Array?
The Length of Binomial Array formula refers to the total physical length of an array of antenna elements arranged in a binomial pattern. In the context of antenna arrays, a binomial array is a specific arrangement of antenna elements that follows a binomial distribution and is represented as L = (n-1)*λ/2 or Length of Binomial Array = (No of Element-1)*Wavelength/2. No of element present in the pattern is denoted by the symbol n & Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
How to calculate Length of Binomial Array?
The Length of Binomial Array formula refers to the total physical length of an array of antenna elements arranged in a binomial pattern. In the context of antenna arrays, a binomial array is a specific arrangement of antenna elements that follows a binomial distribution is calculated using Length of Binomial Array = (No of Element-1)*Wavelength/2. To calculate Length of Binomial Array, you need No of Element (n) & Wavelength (λ). With our tool, you need to enter the respective value for No of Element & Wavelength 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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