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Power Density of Spherical Wave Formula

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Power Density is the amount of power per unit area that radiates outward from the source. Check FAQs

P d = \frac{P \cdot g t}{4 \cdot π \cdot d}

P_d - Power Density?P - Power Transmitted?g_t - Transmitting Gain?d - Distance between Antennas?π - Archimedes' constant?

Power Density of Spherical Wave Example

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

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

Here is how the Power Density of Spherical Wave equation looks like.

0.5013 = \frac{10.5 \cdot 3}{4 \cdot 3.1416 \cdot 5}

0.5013W/m² = \frac{10.5W \cdot 3}{4 \cdot 3.1416 \cdot 5m}

0.5013 = \frac{10.5 \cdot 3}{4 \cdot 3.1416 \cdot 5}

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Power Density of Spherical Wave Solution

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

FIRST Step Consider the formula

P d = \frac{P \cdot g t}{4 \cdot π \cdot d}

Next Step Substitute values of Variables

∴

P d = \frac{10.5W \cdot 3}{4 \cdot π \cdot 5m}

Next Step Substitute values of Constants

∴

P d = \frac{10.5W \cdot 3}{4 \cdot 3.1416 \cdot 5m}

Next Step Prepare to Evaluate

∴

P d = \frac{10.5 \cdot 3}{4 \cdot 3.1416 \cdot 5}

Next Step Evaluate

∴

P d = 0.50133807073947W/m²

LAST Step Rounding Answer

∴

P d = 0.5013W/m²

Power Density of Spherical Wave Formula Elements

Variables

Constants

Power Density

Power Density is the amount of power per unit area that radiates outward from the source.

Symbol: P_d

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Power Density

Power Transmitted

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.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

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.

Symbol: g_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transmitting Gain

Distance between Antennas

Distance between Antennas is the horizontal separation between two antennas.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between Antennas

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 Microwave Devices category

Go Force Exerted on Particle

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Go Power Losses for TEM Mode

P loss = 2 \cdot α \cdot P t

Go Quality Factor

Q = \frac{ω 0 \cdot E max}{P avg}

Go Characteristic Wave Impedance

Z = \frac{ω 0 \cdot μ}{β}

How to Evaluate Power Density of Spherical Wave?

Power Density of Spherical Wave evaluator uses Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas) to evaluate 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 evaluate Power Density of Spherical Wave using this online evaluator? To use this online evaluator for Power Density of Spherical Wave, enter Power Transmitted (P), Transmitting Gain (g_t) & Distance between Antennas (d) and hit the calculate button.

FAQs on Power Density of Spherical Wave

What is the formula to find Power Density of Spherical Wave?

The formula of Power Density of Spherical Wave is expressed as Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas). Here is an example- 501.3381 = (10500*3)/(4*pi*5).

How to calculate Power Density of Spherical Wave?

With Power Transmitted (P), Transmitting Gain (g_t) & Distance between Antennas (d) we can find Power Density of Spherical Wave using the formula - Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas). This formula also uses Archimedes' constant .

Can the Power Density of Spherical Wave be negative?

No, the Power Density of Spherical Wave, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Power Density of Spherical Wave?

Power Density of Spherical Wave is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Power Density of Spherical Wave can be measured.

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Power Density of Spherical Wave Formula

Power Density of Spherical Wave Example

Power Density of Spherical Wave Solution

Power Density of Spherical Wave Formula Elements

Other formulas in Microwave Devices category

How to Evaluate Power Density of Spherical Wave?

FAQs on Power Density of Spherical Wave

Variable Name