Power Density of Spherical Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)
Pd = (P*gt)/(4*pi*d)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Power Density - (Measured in Watt per Square Meter) - Power Density is the amount of power per unit area that radiates outward from the source.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Transmitting Gain - Transmitting Gain of an antenna is a measure of how effectively it radiates power in a particular direction compared to an isotropic radiator.
Distance between Antennas - (Measured in Meter) - Distance between Antennas is the horizontal separation between two antennas.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 10.5 Watt --> 10.5 Watt No Conversion Required
Transmitting Gain: 3 --> No Conversion Required
Distance between Antennas: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pd = (P*gt)/(4*pi*d) --> (10.5*3)/(4*pi*5)
Evaluating ... ...
Pd = 0.50133807073947
STEP 3: Convert Result to Output's Unit
0.50133807073947 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
0.50133807073947 0.501338 Watt per Square Meter <-- Power Density
(Calculation completed in 00.020 seconds)

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Power Density of Spherical Wave Formula

​LaTeX ​Go
Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)
Pd = (P*gt)/(4*pi*d)

Significance of power density of spherical wave in Astronomy ?

Power density is employed to calculate the radiant flux received from stars and celestial objects, aiding in the study and characterization of astronomical sources.

How to Calculate Power Density of Spherical Wave?

Power Density of Spherical Wave calculator uses Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas) to calculate the Power Density, The Power Density of Spherical Wave is the amount of power per unit area that radiates outward from the source. Power Density is denoted by Pd symbol.

How to calculate Power Density of Spherical Wave using this online calculator? To use this online calculator for Power Density of Spherical Wave, enter Power Transmitted (P), Transmitting Gain (gt) & Distance between Antennas (d) and hit the calculate button. Here is how the Power Density of Spherical Wave calculation can be explained with given input values -> 501.3381 = (10500*3)/(4*pi*5).

FAQ

What is Power Density of Spherical Wave?
The Power Density of Spherical Wave is the amount of power per unit area that radiates outward from the source and is represented as Pd = (P*gt)/(4*pi*d) or Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Transmitting Gain of an antenna is a measure of how effectively it radiates power in a particular direction compared to an isotropic radiator & Distance between Antennas is the horizontal separation between two antennas.
How to calculate Power Density of Spherical Wave?
The Power Density of Spherical Wave is the amount of power per unit area that radiates outward from the source is calculated using Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas). To calculate Power Density of Spherical Wave, you need Power Transmitted (P), Transmitting Gain (gt) & Distance between Antennas (d). With our tool, you need to enter the respective value for Power Transmitted, Transmitting Gain & Distance between Antennas 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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