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Power Spectral Density of White Noise Formula

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Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency. Check FAQs

P dw = [BoltZ] \cdot \frac{T}{2}

P_dw - Power Spectral Density of White Noise?T - Temperature?[BoltZ] - Boltzmann constant?

Power Spectral Density of White Noise Example

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Here is how the Power Spectral Density of White Noise equation looks like with Values.

Here is how the Power Spectral Density of White Noise equation looks like with Units.

Here is how the Power Spectral Density of White Noise equation looks like.

2.5E-21 = 1.4E-23 \cdot \frac{363.74}{2}

2.5E-21W/m³ = 1.4E-23J/K \cdot \frac{363.74K}{2}

2.5E-21 = 1.4E-23 \cdot \frac{363.74}{2}

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Power Spectral Density of White Noise Solution

Follow our step by step solution on how to calculate Power Spectral Density of White Noise?

FIRST Step Consider the formula

P dw = [BoltZ] \cdot \frac{T}{2}

Next Step Substitute values of Variables

∴

P dw = [BoltZ] \cdot \frac{363.74K}{2}

Next Step Substitute values of Constants

∴

P dw = 1.4E-23J/K \cdot \frac{363.74K}{2}

Next Step Prepare to Evaluate

∴

P dw = 1.4E-23 \cdot \frac{363.74}{2}

Next Step Evaluate

∴

P dw = 2.510985463324E-21W/m³

LAST Step Rounding Answer

∴

P dw = 2.5E-21W/m³

Power Spectral Density of White Noise Formula Elements

Variables

Constants

Power Spectral Density of White Noise

Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency.

Symbol: P_dw

Measurement: Power DensityUnit: W/m³

Note: Value should be greater than 0.

Formulas to find Power Spectral Density of White Noise

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other formulas in Analog Noise and Power Analysis category

Go Equivalent Noise Temperature

T = (N f - 1) \cdot T o

Go Noise Factor

N f = \frac{P si \cdot P no}{P so \cdot P ni}

Go Noise Power at Output of Amplifier

P no = P ni \cdot N f \cdot P ng

Go Noise Power Gain

P ng = \frac{P so}{P si}

How to Evaluate Power Spectral Density of White Noise?

Power Spectral Density of White Noise evaluator uses Power Spectral Density of White Noise = [BoltZ]*Temperature/2 to evaluate the Power Spectral Density of White Noise, Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency. Power Spectral Density of White Noise is denoted by P_dw symbol.

How to evaluate Power Spectral Density of White Noise using this online evaluator? To use this online evaluator for Power Spectral Density of White Noise, enter Temperature (T) and hit the calculate button.

FAQs on Power Spectral Density of White Noise

What is the formula to find Power Spectral Density of White Noise?

The formula of Power Spectral Density of White Noise is expressed as Power Spectral Density of White Noise = [BoltZ]*Temperature/2. Here is an example- 2.5E-21 = [BoltZ]*363.74/2.

How to calculate Power Spectral Density of White Noise?

With Temperature (T) we can find Power Spectral Density of White Noise using the formula - Power Spectral Density of White Noise = [BoltZ]*Temperature/2. This formula also uses Boltzmann constant .

Can the Power Spectral Density of White Noise be negative?

No, the Power Spectral Density of White Noise, measured in Power Density cannot be negative.

Which unit is used to measure Power Spectral Density of White Noise?

Power Spectral Density of White Noise 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 Spectral Density of White Noise can be measured.

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