Radiation Resistance of Antenna Calculator

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Electromagnetic Radiation and Antennas

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✖Average Power is defined as the power that crosses the surface of a sphere of radius r.ⓘ Average Power [P_r]			+10% -10%
✖Sinusoidal Current represents the current of amplitude Io in absence of any radiation.ⓘ Sinusoidal Current [i_o]			+10% -10%

✖Radiation Resistance is the effective resistance of antenna.ⓘ Radiation Resistance of Antenna [R_rad]

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Formula

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Radiation Resistance of Antenna

Formula

`"R"_{"rad"} = 2*"P"_{"r"}/"i"_{"o"}^2`

Example

`"6.306173Ω"=2*"63.85W"/("4.5A")^2`

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Radiation Resistance of Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Resistance = 2*Average Power/Sinusoidal Current^2
R_rad = 2*P_r/i_o^2
This formula uses 3 Variables

Variables Used

Radiation Resistance - (Measured in Ohm) - Radiation Resistance is the effective resistance of antenna.
Average Power - (Measured in Watt) - Average Power is defined as the power that crosses the surface of a sphere of radius r.
Sinusoidal Current - (Measured in Ampere) - Sinusoidal Current represents the current of amplitude Io in absence of any radiation.

STEP 1: Convert Input(s) to Base Unit

Average Power: 63.85 Watt --> 63.85 Watt No Conversion Required
Sinusoidal Current: 4.5 Ampere --> 4.5 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_rad = 2*P_r/i_o^2 --> 2*63.85/4.5^2

Evaluating ... ...

R_rad = 6.30617283950617

STEP 3: Convert Result to Output's Unit

6.30617283950617 Ohm --> No Conversion Required

FINAL ANSWER

6.30617283950617 ≈ 6.306173 Ohm <-- Radiation Resistance

(Calculation completed in 00.005 seconds)

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Credits

Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ 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 Antenna Formula

Radiation Resistance = 2*Average Power/Sinusoidal Current^2
R_rad = 2*P_r/i_o^2

If average power is constant and radiation resistance decreases by 50%, what happens to Current?

When average power is held constant and radiation resistance decreases by 50%, the current increases by a factor of approximately 1.414.

How to Calculate Radiation Resistance of Antenna?

Radiation Resistance of Antenna calculator uses Radiation Resistance = 2*Average Power/Sinusoidal Current^2 to calculate the Radiation Resistance, The Radiation Resistance of Antenna quantifies the efficiency of the antenna in converting electrical power into radiated electromagnetic waves which is a key parameter in characterizing its performance. Radiation Resistance is denoted by R_rad symbol.

How to calculate Radiation Resistance of Antenna using this online calculator? To use this online calculator for Radiation Resistance of Antenna, enter Average Power (P_r) & Sinusoidal Current (i_o) and hit the calculate button. Here is how the Radiation Resistance of Antenna calculation can be explained with given input values -> 6.306173 = 2*63.85/4.5^2.

FAQ

What is Radiation Resistance of Antenna?

The Radiation Resistance of Antenna quantifies the efficiency of the antenna in converting electrical power into radiated electromagnetic waves which is a key parameter in characterizing its performance and is represented as R_rad = 2*P_r/i_o^2 or Radiation Resistance = 2*Average Power/Sinusoidal Current^2. Average Power is defined as the power that crosses the surface of a sphere of radius r & Sinusoidal Current represents the current of amplitude Io in absence of any radiation.

How to calculate Radiation Resistance of Antenna?

The Radiation Resistance of Antenna quantifies the efficiency of the antenna in converting electrical power into radiated electromagnetic waves which is a key parameter in characterizing its performance is calculated using Radiation Resistance = 2*Average Power/Sinusoidal Current^2. To calculate Radiation Resistance of Antenna, you need Average Power (P_r) & Sinusoidal Current (i_o). With our tool, you need to enter the respective value for Average Power & Sinusoidal Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radiation Resistance?

In this formula, Radiation Resistance uses Average Power & Sinusoidal Current. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radiation Resistance = 60*(int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi))

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