Power Density of Spherical Wave Calculator

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✖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.ⓘ Power Transmitted [P]			+10% -10%
✖Transmitting Gain of an antenna is a measure of how effectively it radiates power in a particular direction compared to an isotropic radiator.ⓘ Transmitting Gain [g_t]			+10% -10%
✖Distance between Antennas is the horizontal separation between two antennas.ⓘ Distance between Antennas [d]			+10% -10%

✖Power Density is the amount of power per unit area that radiates outward from the source.ⓘ Power Density of Spherical Wave [P_d]

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Power Density of Spherical Wave

Formula

`"P"_{"d"} = ("P"*"g"_{"t"})/(4*pi*"d")`

Example

`"0.501338W/m²"=("10.5W"*"3")/(4*pi*"5m")`

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Power Density of Spherical Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)
P_d = (P*g_t)/(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

P_d = (P*g_t)/(4*pi*d) --> (10.5*3)/(4*pi*5)

Evaluating ... ...

P_d = 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 00.004 seconds)

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Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 17 Microwave Devices Calculators

Propagation Constant

Go Propagation Constant = Angular Frequency*(sqrt(Magnetic Permeability*Dielectric Permittivity))*(sqrt(1-((Cut-off Frequency/Frequency)^2)))

Attenuation for TEmn mode

Go Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))

Attenuation for TMmn mode

Go Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)

Cut-off Frequency of Rectangular Waveguide

Go Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number

Surface Resistance of Guide Walls

Go Surface Resistance = sqrt((pi*Frequency*Magnetic Permeability)/(Conductivity))

Power Density of Spherical Wave

Go Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)

Wavelength for TEmn Modes

Go Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))

Force Exerted on Particle

Go Force Exerted on Particle = (Charge of a Particle*Velocity of a Charged Particle)*Magnetic Flux Density

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode

Go Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)

Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode

Go Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)

Characteristic Wave Impedance

Go Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)

Quality Factor

Go Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)

Maximum Stored Energy

Go Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency

Power Received by Antenna

Go Power Received by Antenna = Power Density of Antenna*Effective Area Antenna

Power Losses for TEM Mode

Go Power Losses for the TEM Mode = 2*Attenuation Constant*Transmitting Power

Critical Frequency for Vertical Incidence

Go Critical Frequency = 9*sqrt(Maximum Electron Density)

Phase Velocity of Rectangular Waveguide

Go Phase Velocity = Angular Frequency/Phase Constant

Power Density of Spherical Wave Formula

Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)
P_d = (P*g_t)/(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 P_d 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 (g_t) & 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 P_d = (P*g_t)/(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 (g_t) & 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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