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Antenna Theory Parameters

Special Antennas

Wave Propagation

✖Transmitting power is the output power of transmitting antenna.ⓘ Transmitting Power [P_t]			+10% -10%
✖Gain of receiving antenna the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna at receiving end.ⓘ Gain of Receiving Antenna [G_r]			+10% -10%
✖Gain of transmitting antenna is the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna at the transmitting end.ⓘ Gain of Transmitting Antenna [G_t]			+10% -10%
✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength [λ]			+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 at receiving antenna is defined as the amount of power received at the antenna after being scattered by a target.ⓘ Friis Formula [P_r]

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Formula

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Friis Formula

Formula

`"P"_{"r"} = "P"_{"t"}*"G"_{"r"}*"G"_{"t"}*"λ"^2/(4*3.14*"D")^2`

Example

`"111.6245W"="1570W"*"6.31dB"*"316dB"*("90m")^2/(4*3.14*"1200m")^2`

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Download Antenna Theory Parameters Formulas PDF

Friis Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2
P_r = P_t*G_r*G_t*λ^2/(4*3.14*D)^2
This formula uses 6 Variables

Variables Used

Power at Receiving Antenna - (Measured in Watt) - Power at receiving antenna is defined as the amount of power received at the antenna after being scattered by a target.
Transmitting Power - (Measured in Watt) - Transmitting power is the output power of transmitting antenna.
Gain of Receiving Antenna - (Measured in Decibel) - Gain of receiving antenna the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna at receiving end.
Gain of Transmitting Antenna - (Measured in Decibel) - Gain of transmitting antenna is the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna at the transmitting end.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
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

Transmitting Power: 1570 Watt --> 1570 Watt No Conversion Required
Gain of Receiving Antenna: 6.31 Decibel --> 6.31 Decibel No Conversion Required
Gain of Transmitting Antenna: 316 Decibel --> 316 Decibel No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
Transmitter Receiver Distance: 1200 Meter --> 1200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = P_t*G_r*G_t*λ^2/(4*3.14*D)^2 --> 1570*6.31*316*90^2/(4*3.14*1200)^2

Evaluating ... ...

P_r = 111.624452627389

STEP 3: Convert Result to Output's Unit

111.624452627389 Watt --> No Conversion Required

FINAL ANSWER

111.624452627389 ≈ 111.6245 Watt <-- Power at Receiving Antenna

(Calculation completed in 00.020 seconds)

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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)

Friis Formula Formula

Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2
P_r = P_t*G_r*G_t*λ^2/(4*3.14*D)^2

Why Friis Formula is used?

The Friis transmission equation gives the power received by an antenna from another antenna that is transmitting a known amount of power at a distance under ideal conditions.

What are the advantage of friis formula?

Friis stated the advantage of this formula over other formulations is the lack of numerical coefficients to remember, but does require the expression of transmitting antenna performance in terms of power flow per unit area instead of field strength and the expression of receiving antenna performance by its effective area rather than by its power gain or radiation resistance

How to Calculate Friis Formula?

Friis Formula calculator uses Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2 to calculate the Power at Receiving Antenna, The Friis Formula formula is defined as The Friis Transmission Equation is used to calculate the power received from one antenna (with gain G1), when transmitted from another antenna (with gain G2), separated by a distance R, and operating at frequency. Power at Receiving Antenna is denoted by P_r symbol.

How to calculate Friis Formula using this online calculator? To use this online calculator for Friis Formula, enter Transmitting Power (P_t), Gain of Receiving Antenna (G_r), Gain of Transmitting Antenna (G_t), Wavelength (λ) & Transmitter Receiver Distance (D) and hit the calculate button. Here is how the Friis Formula calculation can be explained with given input values -> 111.6245 = 1570*6.31*316*90^2/(4*3.14*1200)^2.

FAQ

What is Friis Formula?

The Friis Formula formula is defined as The Friis Transmission Equation is used to calculate the power received from one antenna (with gain G1), when transmitted from another antenna (with gain G2), separated by a distance R, and operating at frequency and is represented as P_r = P_t*G_r*G_t*λ^2/(4*3.14*D)^2 or Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2. Transmitting power is the output power of transmitting antenna, Gain of receiving antenna the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna at receiving end, Gain of transmitting antenna is the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna at the transmitting end, Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire & Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

How to calculate Friis Formula?

The Friis Formula formula is defined as The Friis Transmission Equation is used to calculate the power received from one antenna (with gain G1), when transmitted from another antenna (with gain G2), separated by a distance R, and operating at frequency is calculated using Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2. To calculate Friis Formula, you need Transmitting Power (P_t), Gain of Receiving Antenna (G_r), Gain of Transmitting Antenna (G_t), Wavelength (λ) & Transmitter Receiver Distance (D). With our tool, you need to enter the respective value for Transmitting Power, Gain of Receiving Antenna, Gain of Transmitting Antenna, Wavelength & 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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