## Average Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance
Pr = 1/2*io^2*Rrad
This formula uses 3 Variables
Variables Used
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.
Radiation Resistance - (Measured in Ohm) - Radiation Resistance is the effective resistance of antenna.
STEP 1: Convert Input(s) to Base Unit
Sinusoidal Current: 4.5 Ampere --> 4.5 Ampere No Conversion Required
Radiation Resistance: 6.7 Ohm --> 6.7 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = 1/2*io^2*Rrad --> 1/2*4.5^2*6.7
Evaluating ... ...
Pr = 67.8375
STEP 3: Convert Result to Output's Unit
67.8375 Watt --> No Conversion Required
FINAL ANSWER
67.8375 Watt <-- Average Power
(Calculation completed in 00.020 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!

## <Electromagnetic Radiation and Antennas Calculators

Poynting Vector Magnitude
​ Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2
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

## Average Power Formula

Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance
Pr = 1/2*io^2*Rrad

## How does the Average power of a spherical electromagnetic wave change with distance from the source?

The Average Power of a spherical electromagnetic wave is inversely proportional to the square of the distance from the source. This means that as the distance from the source increases, the power density decreases.

## How to Calculate Average Power?

Average Power calculator uses Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance to calculate the Average Power, Average Power is the total energy transferred over a period of time divided by that time duration, representing the constant power level that delivers the same energy. Average Power is denoted by Pr symbol.

How to calculate Average Power using this online calculator? To use this online calculator for Average Power, enter Sinusoidal Current (io) & Radiation Resistance (Rrad) and hit the calculate button. Here is how the Average Power calculation can be explained with given input values -> 67.8375 = 1/2*4.5^2*6.7.

### FAQ

What is Average Power?
Average Power is the total energy transferred over a period of time divided by that time duration, representing the constant power level that delivers the same energy and is represented as Pr = 1/2*io^2*Rrad or Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance. Sinusoidal Current represents the current of amplitude Io in absence of any radiation & Radiation Resistance is the effective resistance of antenna.
How to calculate Average Power?
Average Power is the total energy transferred over a period of time divided by that time duration, representing the constant power level that delivers the same energy is calculated using Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance. To calculate Average Power, you need Sinusoidal Current (io) & Radiation Resistance (Rrad). With our tool, you need to enter the respective value for Sinusoidal Current & Radiation Resistance 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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