Power Density of Antenna Calculator

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Antenna Theory Parameters

Special Antennas

Wave Propagation

✖Total input power is calculated by multiplying voltage (in volts) by current (in amps).ⓘ Total Input Power [P_i]			+10% -10%
✖Antenna Gain is the maximum power gained by antenna.ⓘ Antenna Gain [G]			+10% -10%
✖Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.ⓘ Transmitter Receiver Distance [D]			+10% -10%

✖Power Density Of antenna is the measure of the power from an antenna to a certain distance D.ⓘ Power Density of Antenna [S]

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Formula

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Power Density of Antenna

Formula

`"S" = ("P"_{"i"}*"G")/(4*pi*"D")`

Example

`"55.00793W/m³"=("2765W"*"300")/(4*pi*"1200m")`

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Power Density of Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance)
S = (P_i*G)/(4*pi*D)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Power Density of Antenna - (Measured in Watt Per Cubic Meter) - Power Density Of antenna is the measure of the power from an antenna to a certain distance D.
Total Input Power - (Measured in Watt) - Total input power is calculated by multiplying voltage (in volts) by current (in amps).
Antenna Gain - Antenna Gain is the maximum power gained by antenna.
Transmitter Receiver Distance - (Measured in Meter) - Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

STEP 1: Convert Input(s) to Base Unit

Total Input Power: 2765 Watt --> 2765 Watt No Conversion Required
Antenna Gain: 300 --> No Conversion Required
Transmitter Receiver Distance: 1200 Meter --> 1200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (P_i*G)/(4*pi*D) --> (2765*300)/(4*pi*1200)

Evaluating ... ...

S = 55.0079272061363

STEP 3: Convert Result to Output's Unit

55.0079272061363 Watt Per Cubic Meter --> No Conversion Required

FINAL ANSWER

55.0079272061363 ≈ 55.00793 Watt Per Cubic Meter <-- Power Density of Antenna

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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Birsa Institute of Technology (BIT), Sindri

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< 24 Antenna Theory Parameters Calculators

Distance between Transmitting and Receiving Point

Go Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength)

Height of Transmitting Antenna

Go Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver)

Height of Receiving Antenna

Go Height of Receiver = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Antenna Current)

Strength of Ground Wave

Go Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance)

Antenna Current

Go Antenna Current = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Height of Receiver)

Friis Formula

Go Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2

Power Density of Antenna

Go Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance)

Effective Area of Antenna

Go Effective Area Antenna = (Thermal Resistance*Incremental Temperature)/Power Density of Antenna

Noise Temperature of Antenna

Go Antenna Temperature = (Power Density of Antenna)/(Thermal Resistance*Bandwidth)

Total Power of Antenna

Go Total Power of Antenna = Thermal Resistance*Antenna Temperature*Bandwidth

Radiation Intensity

Go Radiation Intensity = Isotropic Radiation Intensity*Directivity of Antenna

Average Radiation Intensity

Go Average Radiation Intensity = Radiation Intensity/Directivity of Antenna

Directivity of Antenna

Go Directivity of Antenna = Radiation Intensity/Average Radiation Intensity

Power Per Unit Bandwidth

Go Power per Unit = Thermal Resistance*Resistor Absolute Temperature

Total Antenna Resistance

Go Total Antenna Resistance = Ohmic Resistance+Radiation Resistance

Radiation Resistance

Go Radiation Resistance = Total Antenna Resistance-Ohmic Resistance

Ohmic Resistance

Go Ohmic Resistance = Total Antenna Resistance-Radiation Resistance

Antenna Gain

Go Antenna Gain = Radiation Intensity/Isotropic Radiation Intensity

Length of Binomial Array

Go Length of Binomial Array = (No of Element-1)*Wavelength/2

Isotropic Radiation Intensity

Go Isotropic Radiation Intensity = Radiated Power/(4*pi)

Antenna Efficiency

Go Antenna Efficiency = Radiated Power/Total Input Power

Total Input Power

Go Total Input Power = Radiated Power/Antenna Efficiency

Duct Height

Go Duct Height = (Maximum Duct Wavelength/0.014)^(2/3)

Maximum Duct Wavelength

Go Maximum Duct Wavelength = 0.014*Duct Height^(3/2)

Power Density of Antenna Formula

Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance)
S = (P_i*G)/(4*pi*D)

How is RF power density measured?

Power Density (mW/cm2) = F(MHz)/1500
One method the FCC has been using to determine the contribution of individual transmitters to the total RF power density in public areas at the site is to measure the power density before and after an individual transmitter is shut off.

How to Calculate Power Density of Antenna?

Power Density of Antenna calculator uses Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance) to calculate the Power Density of Antenna, The Power Density Of Antenna formula is defined as the measure of the power from an antenna to a certain distance D. This assumes that an antenna radiates power in all directions. Power Density of Antenna is denoted by S symbol.

How to calculate Power Density of Antenna using this online calculator? To use this online calculator for Power Density of Antenna, enter Total Input Power (P_i), Antenna Gain (G) & Transmitter Receiver Distance (D) and hit the calculate button. Here is how the Power Density of Antenna calculation can be explained with given input values -> 55.00793 = (2765*300)/(4*pi*1200).

FAQ

What is Power Density of Antenna?

The Power Density Of Antenna formula is defined as the measure of the power from an antenna to a certain distance D. This assumes that an antenna radiates power in all directions and is represented as S = (P_i*G)/(4*pi*D) or Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance). Total input power is calculated by multiplying voltage (in volts) by current (in amps), Antenna Gain is the maximum power gained by antenna & Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

How to calculate Power Density of Antenna?

The Power Density Of Antenna formula is defined as the measure of the power from an antenna to a certain distance D. This assumes that an antenna radiates power in all directions is calculated using Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance). To calculate Power Density of Antenna, you need Total Input Power (P_i), Antenna Gain (G) & Transmitter Receiver Distance (D). With our tool, you need to enter the respective value for Total Input Power, Antenna Gain & Transmitter Receiver Distance 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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