Directivity of Half-Wave Dipole Solution

STEP 0: Pre-Calculation Summary
Formula Used
Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density
Dhwd = [P]max/[Pr]avg
This formula uses 3 Variables
Variables Used
Directivity of Half Wave Dipole - Directivity of Half Wave Dipole antenna refers to its ability to concentrate radiation in certain directions while reducing it in others.
Maximum Power Density - (Measured in Watt Per Cubic Meter) - Maximum Power Density refers to the highest amount of power per unit area that is present within a given region of space.
Average Power Density - (Measured in Watt Per Cubic Meter) - Average Power Density refers to the average amount of power per unit area that is present within a given region of space over a specified period of time.
STEP 1: Convert Input(s) to Base Unit
Maximum Power Density: 120.26 Watt Per Cubic Meter --> 120.26 Watt Per Cubic Meter No Conversion Required
Average Power Density: 73.2376092 Watt Per Cubic Meter --> 73.2376092 Watt Per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dhwd = [P]max/[Pr]avg --> 120.26/73.2376092
Evaluating ... ...
Dhwd = 1.64205250981896
STEP 3: Convert Result to Output's Unit
1.64205250981896 --> No Conversion Required
FINAL ANSWER
1.64205250981896 1.642053 <-- Directivity of Half Wave Dipole
(Calculation completed in 00.004 seconds)

Credits

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Created by Souradeep Dey
National Institute of Technology Agartala (NITA), Agartala, Tripura
Souradeep Dey has created this Calculator and 25+ more calculators!
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Verified by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
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17 Electromagnetic Radiation and Antennas Calculators

Average Power Density of Half-Wave Dipole
​ Go Average Power Density = (0.609*Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2
Magnetic Field for Hertzian Dipole
​ Go Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Wavelength of Dipole)+2*pi*Dipole Distance/Wavelength of Dipole*sin(2*pi*Dipole Distance/Wavelength of Dipole))
Maximum Power Density of Half-Wave Dipole
​ Go Maximum Power Density = (Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2
Power Radiated by Half-Wave Dipole
​ Go Power Radiated by Half-wave Dipole = ((0.609*Intrinsic Impedance of Medium*(Amplitude of Oscillating Current)^2)/pi)*sin(((Angular Frequency of Half Wave Dipole*Time)-((pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2
Power that Crosses Surface of Sphere
​ Go Power Crossed at Sphere Surface = pi*((Amplitude of Oscillating Current*Wavenumber*Short Antenna Length)/(4*pi))^2*Intrinsic Impedance of Medium*(int(sin(Theta)^3*x,x,0,pi))
Electric Field due to N Point Charges
​ Go Electric Field due to N Point Charges = sum(x,1,Number of Point Charges,(Charge)/(4*pi*[Permitivity-vacuum]*(Distance from Electric Field-Charge Distance)^2))
Poynting Vector Magnitude
​ Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2
Total Radiated Power in Free Space
​ Go Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi)
Radiated Resistance
​ Go Radiation Resistance = 60*(int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi))
Time Average Radiated Power of Half-Wave Dipole
​ Go Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi)
Polarization
​ Go Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength
Radiation Resistance of Half-Wave Dipole
​ Go Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi
Directivity of Half-Wave Dipole
​ Go Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density
Electric Field for Hertzian Dipole
​ Go Electric Field Component = Intrinsic Impedance*Magnetic Field Component
Radiation Efficiency of Antenna
​ Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
Average Power
​ Go Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance
Radiation Resistance of Antenna
​ Go Radiation Resistance = 2*Average Power/Sinusoidal Current^2

Directivity of Half-Wave Dipole Formula

Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density
Dhwd = [P]max/[Pr]avg

What is the significance of directivity of Half-wave dipole?

A half-wave dipole antenna's directivity is crucial for many applications, especially radio frequency engineering and telecommunications. The directivity of an antenna improves its ability to transmit and receive signals by concentrating electromagnetic radiation in particular directions. Better coverage, stronger signals, and longer communication ranges are made possible by this. Moreover, the half-wave dipole antenna's directivity guarantees effective signal propagation while reducing interference from undesired directions in situations where directed communication is necessary, such as point-to-point communications or satellite communication. Furthermore, accurate target identification and measurement in domains such as radar and remote sensing depend on the antenna's radiation pattern being controllable through directivity.

How to Calculate Directivity of Half-Wave Dipole?

Directivity of Half-Wave Dipole calculator uses Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density to calculate the Directivity of Half Wave Dipole, The Directivity of Half-Wave Dipole antenna measures its ability to focus electromagnetic radiation in specific directions, crucial for optimizing signal transmission and reception in communication systems. Directivity of Half Wave Dipole is denoted by Dhwd symbol.

How to calculate Directivity of Half-Wave Dipole using this online calculator? To use this online calculator for Directivity of Half-Wave Dipole, enter Maximum Power Density ([P]max) & Average Power Density ([Pr]avg) and hit the calculate button. Here is how the Directivity of Half-Wave Dipole calculation can be explained with given input values -> 1.642053 = 120.26/73.2376092.

FAQ

What is Directivity of Half-Wave Dipole?
The Directivity of Half-Wave Dipole antenna measures its ability to focus electromagnetic radiation in specific directions, crucial for optimizing signal transmission and reception in communication systems and is represented as Dhwd = [P]max/[Pr]avg or Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density. Maximum Power Density refers to the highest amount of power per unit area that is present within a given region of space & Average Power Density refers to the average amount of power per unit area that is present within a given region of space over a specified period of time.
How to calculate Directivity of Half-Wave Dipole?
The Directivity of Half-Wave Dipole antenna measures its ability to focus electromagnetic radiation in specific directions, crucial for optimizing signal transmission and reception in communication systems is calculated using Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density. To calculate Directivity of Half-Wave Dipole, you need Maximum Power Density ([P]max) & Average Power Density ([Pr]avg). With our tool, you need to enter the respective value for Maximum Power Density & Average Power Density 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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