Total Radiated Power in Free Space Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Electromagnetic Radiation and Antennas

Guided Waves in Field Theory

Magnetic Forces and Materials

✖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%
✖Dipole Antenna Pattern Function describes the electric field strength variation in the plane containing its electric field and maximum radiation direction in E-plane.ⓘ Dipole Antenna Pattern Function [F]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ_em]			+10% -10%

✖Total Radiated Power in Free Space is the total amount of electromagnetic wave power emitted by an antenna.ⓘ Total Radiated Power in Free Space [P_R]

⎘ Copy

👎

Formula

✖

Total Radiated Power in Free Space

Formula

`"P"_{"R"} = 30*"I"_{"o"}^2*int(("F")^2*sin("θ"_{"em"})*x,x,0,pi)`

Example

`"83.80005W"=30*("5A")^2*int(("0.2128")^2*sin("30°")*x,x,0,pi)`

Calculator

LaTeX

Reset

👍

Download Electronics Formula PDF PDF Image

Total Radiated Power in Free Space Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi)
P_R = 30*I_o^2*int((F)^2*sin(θ_em)*x,x,0,pi)
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Total Radiated Power in Free Space - (Measured in Watt) - Total Radiated Power in Free Space is the total amount of electromagnetic wave power emitted by an antenna.
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.
Dipole Antenna Pattern Function - Dipole Antenna Pattern Function describes the electric field strength variation in the plane containing its electric field and maximum radiation direction in E-plane.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Amplitude of Oscillating Current: 5 Ampere --> 5 Ampere No Conversion Required
Dipole Antenna Pattern Function: 0.2128 --> No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_R = 30*I_o^2*int((F)^2*sin(θ_em)*x,x,0,pi) --> 30*5^2*int((0.2128)^2*sin(0.5235987755982)*x,x,0,pi)

Evaluating ... ...

P_R = 83.8000474804174

STEP 3: Convert Result to Output's Unit

83.8000474804174 Watt --> No Conversion Required

FINAL ANSWER

83.8000474804174 ≈ 83.80005 Watt <-- Total Radiated Power in Free Space

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Electromagnetic Field Theory » Electromagnetic Radiation and Antennas » Total Radiated Power in Free Space

Credits

Created by Vignesh Naidu

Vellore Institute of Technology (VIT), Vellore,Tamil Nadu

Vignesh Naidu has created this Calculator and 25+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick 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

Total Radiated Power in Free Space Formula

Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi)
P_R = 30*I_o^2*int((F)^2*sin(θ_em)*x,x,0,pi)

What are the Applications of Total Radiated Power in Free Space ?

1. Antenna Design and Optimization: Knowing the total radiated power allows engineers to assess the efficiency of an antenna in converting electrical power into electromagnetic waves. This helps optimize antenna design for specific applications where maximizing radiated power is crucial.
2. Link Budget Calculations: In wireless communication systems, link budget analysis determines the received signal strength at the receiver. Prad is a critical parameter in this calculation, as it represents the total power available at the source (antenna) for transmission.

How to Calculate Total Radiated Power in Free Space?

Total Radiated Power in Free Space calculator uses Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi) to calculate the Total Radiated Power in Free Space, The Total Radiated Power in Free Space formula is defined as the total amount of electromagnetic wave power emitted by an antenna and requires knowledge of the Poynting vector distribution around the antenna. Total Radiated Power in Free Space is denoted by P_R symbol.

How to calculate Total Radiated Power in Free Space using this online calculator? To use this online calculator for Total Radiated Power in Free Space, enter Amplitude of Oscillating Current (I_o), Dipole Antenna Pattern Function (F) & Theta (θ_em) and hit the calculate button. Here is how the Total Radiated Power in Free Space calculation can be explained with given input values -> 83.80005 = 30*5^2*int((0.2128)^2*sin(0.5235987755982)*x,x,0,pi).

FAQ

What is Total Radiated Power in Free Space?

The Total Radiated Power in Free Space formula is defined as the total amount of electromagnetic wave power emitted by an antenna and requires knowledge of the Poynting vector distribution around the antenna and is represented as P_R = 30*I_o^2*int((F)^2*sin(θ_em)*x,x,0,pi) or Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi). The Amplitude of Oscillating Current refers to the maximum magnitude or strength of the alternating electric current as it varies over time, Dipole Antenna Pattern Function describes the electric field strength variation in the plane containing its electric field and maximum radiation direction in E-plane & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Total Radiated Power in Free Space?

The Total Radiated Power in Free Space formula is defined as the total amount of electromagnetic wave power emitted by an antenna and requires knowledge of the Poynting vector distribution around the antenna is calculated using Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi). To calculate Total Radiated Power in Free Space, you need Amplitude of Oscillating Current (I_o), Dipole Antenna Pattern Function (F) & Theta (θ_em). With our tool, you need to enter the respective value for Amplitude of Oscillating Current, Dipole Antenna Pattern Function & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search