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Power Density of Antenna Formula

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Power Density Of antenna is the measure of the power from an antenna to a certain distance D. Check FAQs

S = \frac{P i \cdot G}{4 \cdot π \cdot D}

S - Power Density of Antenna?P_i - Total Input Power?G - Antenna Gain?D - Transmitter Receiver Distance?π - Archimedes' constant?

Power Density of Antenna Example

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Here is how the Power Density of Antenna equation looks like with Values.

Here is how the Power Density of Antenna equation looks like with Units.

Here is how the Power Density of Antenna equation looks like.

55.0079 = \frac{2765 \cdot 300}{4 \cdot 3.1416 \cdot 1200}

55.0079W/m³ = \frac{2765W \cdot 300}{4 \cdot 3.1416 \cdot 1200m}

55.0079 = \frac{2765 \cdot 300}{4 \cdot 3.1416 \cdot 1200}

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Power Density of Antenna Solution

Follow our step by step solution on how to calculate Power Density of Antenna?

FIRST Step Consider the formula

S = \frac{P i \cdot G}{4 \cdot π \cdot D}

Next Step Substitute values of Variables

∴

S = \frac{2765W \cdot 300}{4 \cdot π \cdot 1200m}

Next Step Substitute values of Constants

∴

S = \frac{2765W \cdot 300}{4 \cdot 3.1416 \cdot 1200m}

Next Step Prepare to Evaluate

∴

S = \frac{2765 \cdot 300}{4 \cdot 3.1416 \cdot 1200}

Next Step Evaluate

∴

S = 55.0079272061363W/m³

LAST Step Rounding Answer

∴

S = 55.0079W/m³

Power Density of Antenna Formula Elements

Variables

Constants

Power Density of Antenna

Power Density Of antenna is the measure of the power from an antenna to a certain distance D.

Symbol: S

Measurement: Power DensityUnit: W/m³

Note: Value can be positive or negative.

Formulas to find Power Density of Antenna

Total Input Power

Total input power is calculated by multiplying voltage (in volts) by current (in amps).

Symbol: P_i

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Total Input Power

Antenna Gain

Antenna Gain is the maximum power gained by antenna.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Antenna Gain

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Power Density of Antenna?

Power Density of Antenna evaluator uses Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance) to evaluate 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 evaluate Power Density of Antenna using this online evaluator? To use this online evaluator for Power Density of Antenna, enter Total Input Power (P_i), Antenna Gain (G) & Transmitter Receiver Distance (D) and hit the calculate button.

FAQs on Power Density of Antenna

What is the formula to find Power Density of Antenna?

The formula of Power Density of Antenna is expressed as Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance). Here is an example- 55.00793 = (2765*300)/(4*pi*1200).

How to calculate Power Density of Antenna?

With Total Input Power (P_i), Antenna Gain (G) & Transmitter Receiver Distance (D) we can find Power Density of Antenna using the formula - Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance). This formula also uses Archimedes' constant .

Can the Power Density of Antenna be negative?

Yes, the Power Density of Antenna, measured in Power Density can be negative.

Which unit is used to measure Power Density of Antenna?

Power Density of Antenna is usually measured using the Watt Per Cubic Meter[W/m³] for Power Density. Horsepower Per Litre[W/m³], Decawatt Per Cubic Meter[W/m³], Gigawatt Per Cubic Meter[W/m³] are the few other units in which Power Density of Antenna can be measured.

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