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Friis Formula Formula

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Power at receiving antenna is defined as the amount of power received at the antenna after being scattered by a target. Check FAQs

P r = P t \cdot G r \cdot G t \cdot \frac{λ^{2}}{{(4 \cdot 3.14 \cdot D)}^{2}}

P_r - Power at Receiving Antenna?P_t - Transmitting Power?G_r - Gain of Receiving Antenna?G_t - Gain of Transmitting Antenna?λ - Wavelength?D - Transmitter Receiver Distance?

Friis Formula Example

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Here is how the Friis Formula equation looks like with Values.

Here is how the Friis Formula equation looks like with Units.

Here is how the Friis Formula equation looks like.

111.6245 = 1570 \cdot 6.31 \cdot 316 \cdot \frac{90^{2}}{{(4 \cdot 3.14 \cdot 1200)}^{2}}

111.6245W = 1570W \cdot 6.31dB \cdot 316dB \cdot \frac{{90m}^{2}}{{(4 \cdot 3.14 \cdot 1200m)}^{2}}

111.6245 = 1570 \cdot 6.31 \cdot 316 \cdot \frac{90^{2}}{{(4 \cdot 3.14 \cdot 1200)}^{2}}

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Friis Formula Solution

Follow our step by step solution on how to calculate Friis Formula?

FIRST Step Consider the formula

P r = P t \cdot G r \cdot G t \cdot \frac{λ^{2}}{{(4 \cdot 3.14 \cdot D)}^{2}}

Next Step Substitute values of Variables

∴

P r = 1570W \cdot 6.31dB \cdot 316dB \cdot \frac{{90m}^{2}}{{(4 \cdot 3.14 \cdot 1200m)}^{2}}

Next Step Prepare to Evaluate

∴

P r = 1570 \cdot 6.31 \cdot 316 \cdot \frac{90^{2}}{{(4 \cdot 3.14 \cdot 1200)}^{2}}

Next Step Evaluate

∴

P r = 111.624452627389W

LAST Step Rounding Answer

∴

P r = 111.6245W

Friis Formula Formula Elements

Variables

Power at Receiving Antenna

Power at receiving antenna is defined as the amount of power received at the antenna after being scattered by a target.

Symbol: P_r

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power at Receiving Antenna

Transmitting Power

Transmitting power is the output power of transmitting antenna.

Symbol: P_t

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Transmitting Power

Gain of Receiving 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.

Symbol: G_r

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Gain of Receiving Antenna

Gain of Transmitting Antenna

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.

Symbol: G_t

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Gain of Transmitting Antenna

Wavelength

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Transmitter Receiver Distance

Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Transmitter Receiver Distance

Other formulas in Antenna Theory Parameters category

Go Radiation Intensity

U = U o \cdot D a

Go Power Per Unit Bandwidth

P u = k \cdot T R

Go Total Power of Antenna

P a = k \cdot T a \cdot B a

Go Effective Area of Antenna

A e = \frac{k \cdot ΔT}{S}

How to Evaluate Friis Formula?

Friis Formula evaluator 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 evaluate 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 evaluate Friis Formula using this online evaluator? To use this online evaluator 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.

FAQs on Friis Formula

What is the formula to find Friis Formula?

The formula of Friis Formula is expressed as Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2. Here is an example- 111.6245 = 1570*6.31*316*90^2/(4*3.14*1200)^2.

How to calculate Friis Formula?

With Transmitting Power (P_t), Gain of Receiving Antenna (G_r), Gain of Transmitting Antenna (G_t), Wavelength (λ) & Transmitter Receiver Distance (D) we can find Friis Formula using the formula - Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2.

Can the Friis Formula be negative?

Yes, the Friis Formula, measured in Power can be negative.

Which unit is used to measure Friis Formula?

Friis Formula is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Friis Formula can be measured.

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Friis Formula Formula

Friis Formula Example

Friis Formula Solution

Friis Formula Formula Elements

Other formulas in Antenna Theory Parameters category

How to Evaluate Friis Formula?

FAQs on Friis Formula

Variable Name