Radiation Resistance of Half-Wave Dipole Calculator

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✖The Intrinsic Impedance of Medium, refers to the characteristic impedance of a material through which electromagnetic waves propagate.ⓘ Intrinsic Impedance of Medium [η_hwd]

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✖The Radiation Resistance of Half-wave Dipole refers to the effective resistance presented by the antenna to the flow of radio frequency (RF) power due to the radiation of electromagnetic waves.ⓘ Radiation Resistance of Half-Wave Dipole [R_hwd]

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Formula

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Radiation Resistance of Half-Wave Dipole

Formula

`"R"_{"hwd"} = (0.609*"η"_{"hwd"})/pi`

Example

`"73.08172Ω"=(0.609*"377Ω")/pi`

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Radiation Resistance of Half-Wave Dipole Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi
R_hwd = (0.609*η_hwd)/pi
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radiation Resistance of Half-wave Dipole - (Measured in Ohm) - The Radiation Resistance of Half-wave Dipole refers to the effective resistance presented by the antenna to the flow of radio frequency (RF) power due to the radiation of electromagnetic waves.
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

Intrinsic Impedance of Medium: 377 Ohm --> 377 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_hwd = (0.609*η_hwd)/pi --> (0.609*377)/pi

Evaluating ... ...

R_hwd = 73.081721698595

STEP 3: Convert Result to Output's Unit

73.081721698595 Ohm --> No Conversion Required

FINAL ANSWER

73.081721698595 ≈ 73.08172 Ohm <-- Radiation Resistance of Half-wave Dipole

(Calculation completed in 00.004 seconds)

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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!

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

Radiation Resistance of Half-Wave Dipole Formula

Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi
R_hwd = (0.609*η_hwd)/pi

What is the significance radiation resistance of Half-wave dipole?

A half-wave dipole's radiation resistance is important for a number of reasons. It first ascertains the antenna's effectiveness in transforming electrical power into electromagnetic waves that are radiated. Better energy transfer from the transmitter to the surrounding area is implied by a higher radiation resistance, which boosts signal intensity and enhances communication efficiency. Second, knowing the radiation resistance helps minimize signal reflections, maximize power transfer, and match the antenna to the transmission line impedance. It also affects the antenna's radiation pattern and directivity, which changes the reception characteristics and coverage area. Thus, while developing and implementing efficient antenna systems for a range of uses, such as wireless networking, broadcasting, and telecommunication, precise radiation resistance measurement and consideration are essential.

How to Calculate Radiation Resistance of Half-Wave Dipole?

Radiation Resistance of Half-Wave Dipole calculator uses Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi to calculate the Radiation Resistance of Half-wave Dipole, The Radiation Resistance of Half-Wave Dipole is the effective resistance presented by the antenna to RF power due to the emission of electromagnetic waves. Radiation Resistance of Half-wave Dipole is denoted by R_hwd symbol.

How to calculate Radiation Resistance of Half-Wave Dipole using this online calculator? To use this online calculator for Radiation Resistance of Half-Wave Dipole, enter Intrinsic Impedance of Medium (η_hwd) and hit the calculate button. Here is how the Radiation Resistance of Half-Wave Dipole calculation can be explained with given input values -> 73.08172 = (0.609*377)/pi.

FAQ

What is Radiation Resistance of Half-Wave Dipole?

The Radiation Resistance of Half-Wave Dipole is the effective resistance presented by the antenna to RF power due to the emission of electromagnetic waves and is represented as R_hwd = (0.609*η_hwd)/pi or Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi. The Intrinsic Impedance of Medium, refers to the characteristic impedance of a material through which electromagnetic waves propagate.

How to calculate Radiation Resistance of Half-Wave Dipole?

The Radiation Resistance of Half-Wave Dipole is the effective resistance presented by the antenna to RF power due to the emission of electromagnetic waves is calculated using Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi. To calculate Radiation Resistance of Half-Wave Dipole, you need Intrinsic Impedance of Medium (η_hwd). With our tool, you need to enter the respective value for 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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