Power Density Spectrum of Thermal Noise Calculator

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Analog Noise and Power Analysis

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✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Noise Resistance refers to the ability of a system or signal to withstand interference or distortion caused by external noise sources.ⓘ Noise Resistance [R_ns]			+10% -10%

✖Power Spectral Density of Thermal Noise is the distribution of energy or power per unit bandwidth as a function of frequency.ⓘ Power Density Spectrum of Thermal Noise [P_dt]

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Power Density Spectrum of Thermal Noise

Formula

`"P"_{"dt"} = 2*"[BoltZ]"*"T"*"R"_{"ns"}`

Example

`"1.2E^-20W/m³"=2*"[BoltZ]"*"363.74K"*"1.23Ω"`

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Power Density Spectrum of Thermal Noise Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance
P_dt = 2*[BoltZ]*T*R_ns
This formula uses 1 Constants, 3 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Power Spectral Density of Thermal Noise - (Measured in Watt Per Cubic Meter) - Power Spectral Density of Thermal Noise is the distribution of energy or power per unit bandwidth as a function of frequency.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Noise Resistance - (Measured in Ohm) - Noise Resistance refers to the ability of a system or signal to withstand interference or distortion caused by external noise sources.

STEP 1: Convert Input(s) to Base Unit

Temperature: 363.74 Kelvin --> 363.74 Kelvin No Conversion Required
Noise Resistance: 1.23 Ohm --> 1.23 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_dt = 2*[BoltZ]*T*R_ns --> 2*[BoltZ]*363.74*1.23

Evaluating ... ...

P_dt = 1.23540484795541E-20

STEP 3: Convert Result to Output's Unit

1.23540484795541E-20 Watt Per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.23540484795541E-20 ≈ 1.2E-20 Watt Per Cubic Meter <-- Power Spectral Density of Thermal Noise

(Calculation completed in 00.020 seconds)

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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 14 Analog Noise and Power Analysis Calculators

SNR for AM Demodulation

Go SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio

Mean Square Value of Shot Noise

Go Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth)

RMS Thermal Noise Current

Go RMS Thermal Noise Current = sqrt(4*[BoltZ]*Temperature*Conductance*Noise Bandwidth)

RMS Noise Voltage

Go RMS Noise Voltage = sqrt(4*[BoltZ]*Temperature*Noise Bandwidth*Noise Resistance)

Noise Factor

Go Noise Factor = (Signal Power at Input*Noise Power at Output)/(Signal Power at Output*Noise Power at Input)

SNR for PM System

Go SNR of PM System = Phase Deviation Constant^2*Amplitude of Message Signal*Signal to Noise Ratio

SNR for FM System

Go SNR of FM System = 3*Deviation Ratio^2*Amplitude of Message Signal*Signal to Noise Ratio

Power Density Spectrum of Thermal Noise

Go Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance

Noise Power at Output of Amplifier

Go Noise Power at Output = Noise Power at Input*Noise Factor*Noise Power Gain

Thermal Noise Power

Go Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth

Output SNR

Go Signal to Noise Ratio = log10(Signal Power/Noise Power)

Power Spectral Density of White Noise

Go Power Spectral Density of White Noise = [BoltZ]*Temperature/2

Noise Power Gain

Go Noise Power Gain = Signal Power at Output/Signal Power at Input

Equivalent Noise Temperature

Go Temperature = (Noise Factor-1)*Room Temperature

Power Density Spectrum of Thermal Noise Formula

Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance
P_dt = 2*[BoltZ]*T*R_ns

What is the importance of power spectral density?

Power Spectral Density (PSD) is the frequency response of a random or periodic signal. It tells us where the average power is distributed as a function of frequency.

How to Calculate Power Density Spectrum of Thermal Noise?

Power Density Spectrum of Thermal Noise calculator uses Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance to calculate the Power Spectral Density of Thermal Noise, Power Density Spectrum of Thermal Noise is the distribution of energy or power per unit bandwidth as a function of frequency. Power Spectral Density of Thermal Noise is denoted by P_dt symbol.

How to calculate Power Density Spectrum of Thermal Noise using this online calculator? To use this online calculator for Power Density Spectrum of Thermal Noise, enter Temperature (T) & Noise Resistance (R_ns) and hit the calculate button. Here is how the Power Density Spectrum of Thermal Noise calculation can be explained with given input values -> 1.2E-20 = 2*[BoltZ]*363.74*1.23.

FAQ

What is Power Density Spectrum of Thermal Noise?

Power Density Spectrum of Thermal Noise is the distribution of energy or power per unit bandwidth as a function of frequency and is represented as P_dt = 2*[BoltZ]*T*R_ns or Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance. Temperature is the degree or intensity of heat present in a substance or object & Noise Resistance refers to the ability of a system or signal to withstand interference or distortion caused by external noise sources.

How to calculate Power Density Spectrum of Thermal Noise?

Power Density Spectrum of Thermal Noise is the distribution of energy or power per unit bandwidth as a function of frequency is calculated using Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance. To calculate Power Density Spectrum of Thermal Noise, you need Temperature (T) & Noise Resistance (R_ns). With our tool, you need to enter the respective value for Temperature & Noise Resistance 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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