Time Average Radiated Power of Half-Wave Dipole Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi)
< Prad > = (((Io)^2)/2)*((0.609*ηhwd)/pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Time Average Radiated Power - (Measured in Watt) - Time Average Radiated Power refers to the average power dissipated by an antenna as electromagnetic waves propagate into space over a specified time interval.
Amplitude of Oscillating Current - (Measured in Ampere) - The Amplitude of Oscillating Current refers to the maximum magnitude or strength of the alternating electric current as it varies over time.
Intrinsic Impedance of Medium - (Measured in Ohm) - The Intrinsic Impedance of Medium, refers to the characteristic impedance of a material through which electromagnetic waves propagate.
STEP 1: Convert Input(s) to Base Unit
Amplitude of Oscillating Current: 5 Ampere --> 5 Ampere No Conversion Required
Intrinsic Impedance of Medium: 377 Ohm --> 377 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
< Prad > = (((Io)^2)/2)*((0.609*ηhwd)/pi) --> (((5)^2)/2)*((0.609*377)/pi)
Evaluating ... ...
< Prad > = 913.521521232438
STEP 3: Convert Result to Output's Unit
913.521521232438 Watt --> No Conversion Required
FINAL ANSWER
913.521521232438 913.5215 Watt <-- Time Average Radiated Power
(Calculation completed in 00.004 seconds)

Credits

Created by Souradeep Dey
National Institute of Technology Agartala (NITA), Agartala, Tripura
Souradeep Dey has created this Calculator and 25+ more calculators!
Verified by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
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13 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
Poynting Vector Magnitude
Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/ (4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2
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

Time Average Radiated Power of Half-Wave Dipole Formula

Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi)
< Prad > = (((Io)^2)/2)*((0.609*ηhwd)/pi)

What is the significance time average radiated power of Half-wave dipole ?

An antenna's time average radiated power is very important in a lot of different areas, but especially in radar systems, broadcasting, and telecommunications. It functions as a foundational parameter for assessing an antenna's efficacy and efficiency when sending or receiving electromagnetic signals. We can evaluate the antenna's performance in terms of signal intensity, coverage area, and energy consumption by measuring the average power wasted by the device over a predetermined amount of time. This step is essential for optimal resource use, guaranteeing dependable communication, and optimizing antenna designs. Furthermore, knowing the temporal average radiated power makes it easier to manage the spectrum and adhere to legal regulations pertaining to electromagnetic interference, which makes wireless networks and systems function more smoothly.

How to Calculate Time Average Radiated Power of Half-Wave Dipole?

Time Average Radiated Power of Half-Wave Dipole calculator uses Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi) to calculate the Time Average Radiated Power, The Time Average Radiated Power of Half-Wave Dipole accounts for variations in power radiated by the antenna due to changes in its radiation pattern or input signal. Calculating the time average radiated power involves integrating the instantaneous power density over the entire radiation pattern and averaging it over time. Time Average Radiated Power is denoted by < Prad > symbol.

How to calculate Time Average Radiated Power of Half-Wave Dipole using this online calculator? To use this online calculator for Time Average Radiated Power of Half-Wave Dipole, enter Amplitude of Oscillating Current (Io) & Intrinsic Impedance of Medium hwd) and hit the calculate button. Here is how the Time Average Radiated Power of Half-Wave Dipole calculation can be explained with given input values -> 913.5215 = (((5)^2)/2)*((0.609*377)/pi).

FAQ

What is Time Average Radiated Power of Half-Wave Dipole?
The Time Average Radiated Power of Half-Wave Dipole accounts for variations in power radiated by the antenna due to changes in its radiation pattern or input signal. Calculating the time average radiated power involves integrating the instantaneous power density over the entire radiation pattern and averaging it over time and is represented as < Prad > = (((Io)^2)/2)*((0.609*ηhwd)/pi) or Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi). The Amplitude of Oscillating Current refers to the maximum magnitude or strength of the alternating electric current as it varies over time & The Intrinsic Impedance of Medium, refers to the characteristic impedance of a material through which electromagnetic waves propagate.
How to calculate Time Average Radiated Power of Half-Wave Dipole?
The Time Average Radiated Power of Half-Wave Dipole accounts for variations in power radiated by the antenna due to changes in its radiation pattern or input signal. Calculating the time average radiated power involves integrating the instantaneous power density over the entire radiation pattern and averaging it over time is calculated using Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi). To calculate Time Average Radiated Power of Half-Wave Dipole, you need Amplitude of Oscillating Current (Io) & Intrinsic Impedance of Medium hwd). With our tool, you need to enter the respective value for Amplitude of Oscillating Current & Intrinsic Impedance of Medium 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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