Time Average Radiated Power of Half-Wave Dipole Calculator

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✖The Amplitude of Oscillating Current refers to the maximum magnitude or strength of the alternating electric current as it varies over time.ⓘ Amplitude of Oscillating Current [I_o]			+10% -10%
✖The Intrinsic Impedance of Medium, refers to the characteristic impedance of a material through which electromagnetic waves propagate.ⓘ Intrinsic Impedance of Medium [η_hwd]			+10% -10%

✖Time Average Radiated Power refers to the average power dissipated by an antenna as electromagnetic waves propagate into space over a specified time interval.ⓘ Time Average Radiated Power of Half-Wave Dipole [< P_rad >]

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Formula

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Time Average Radiated Power of Half-Wave Dipole

Formula

`("< P"_{"rad"}" >") = ((("I"_{"o"})^2)/2)*((0.609*"η"_{"hwd"})/pi)`

Example

`"913.5215W"=((("5A")^2)/2)*((0.609*"377Ω")/pi)`

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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)
< P_rad > = (((I_o)^2)/2)*((0.609*η_hwd)/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

< P_rad > = (((I_o)^2)/2)*((0.609*η_hwd)/pi) --> (((5)^2)/2)*((0.609*377)/pi)

Evaluating ... ...

< P_rad > = 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)

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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

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 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

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)
< P_rad > = (((I_o)^2)/2)*((0.609*η_hwd)/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 < P_rad > 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 (I_o) & Intrinsic Impedance of Medium (η_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 < P_rad > = (((I_o)^2)/2)*((0.609*η_hwd)/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 (I_o) & Intrinsic Impedance of Medium (η_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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