Thermal Noise Power Calculator

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Analog Noise and Power Analysis

Amplitude Modulation Characteristics

DSBSC Modulation

Frequency Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Noise Bandwidth is the bandwidth of a brickwall filter which produces same integrated noise power as that of an actual filter.ⓘ Noise Bandwidth [BW_n]			+10% -10%

✖Thermal Noise Power is a noise that is a result of the thermal agitation of electrons. The thermal noise power depends of the bandwidth and temperature of the surroundings.ⓘ Thermal Noise Power [P_tn]

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Formula

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Thermal Noise Power

Formula

`"P"_{"tn"} = "[BoltZ]"*"T"*"BW"_{"n"}`

Example

`"1E^-18W"="[BoltZ]"*"363.74K"*"200Hz"`

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Download Analog Noise and Power Analysis Formulas PDF

Thermal Noise Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth
P_tn = [BoltZ]*T*BW_n
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Thermal Noise Power - (Measured in Watt) - Thermal Noise Power is a noise that is a result of the thermal agitation of electrons. The thermal noise power depends of the bandwidth and temperature of the surroundings.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Noise Bandwidth - (Measured in Hertz) - Noise Bandwidth is the bandwidth of a brickwall filter which produces same integrated noise power as that of an actual filter.

STEP 1: Convert Input(s) to Base Unit

Temperature: 363.74 Kelvin --> 363.74 Kelvin No Conversion Required
Noise Bandwidth: 200 Hertz --> 200 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_tn = [BoltZ]*T*BW_n --> [BoltZ]*363.74*200

Evaluating ... ...

P_tn = 1.0043941853296E-18

STEP 3: Convert Result to Output's Unit

1.0043941853296E-18 Watt --> No Conversion Required

FINAL ANSWER

1.0043941853296E-18 ≈ 1E-18 Watt <-- Thermal Noise Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Analog Communications » Analog Noise and Power Analysis » Thermal Noise Power

Credits

Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has created this Calculator and 25+ more calculators!

Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

Saiju Shah has verified this Calculator and 25+ more calculators!

< 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

Thermal Noise Power Formula

Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth
P_tn = [BoltZ]*T*BW_n

Why does thermal noise occur?

Thermal noise is generated by the random motion of free electrons in a conductor resulting from thermal agitation. The magnitude of the motion is proportional to the temperature of the conductor.

How to Calculate Thermal Noise Power?

Thermal Noise Power calculator uses Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth to calculate the Thermal Noise Power, Thermal Noise Power is a noise that is a result of the thermal agitation of electrons. The thermal noise power depends of the bandwidth and temperature of the surroundings. Thermal Noise Power is denoted by P_tn symbol.

How to calculate Thermal Noise Power using this online calculator? To use this online calculator for Thermal Noise Power, enter Temperature (T) & Noise Bandwidth (BW_n) and hit the calculate button. Here is how the Thermal Noise Power calculation can be explained with given input values -> 1E-18 = [BoltZ]*363.74*200.

FAQ

What is Thermal Noise Power?

Thermal Noise Power is a noise that is a result of the thermal agitation of electrons. The thermal noise power depends of the bandwidth and temperature of the surroundings and is represented as P_tn = [BoltZ]*T*BW_n or Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth. Temperature is the degree or intensity of heat present in a substance or object & Noise Bandwidth is the bandwidth of a brickwall filter which produces same integrated noise power as that of an actual filter.

How to calculate Thermal Noise Power?

Thermal Noise Power is a noise that is a result of the thermal agitation of electrons. The thermal noise power depends of the bandwidth and temperature of the surroundings is calculated using Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth. To calculate Thermal Noise Power, you need Temperature (T) & Noise Bandwidth (BW_n). With our tool, you need to enter the respective value for Temperature & Noise Bandwidth 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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