Thermal Noise Current Calculator

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C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

Transmission Measurements

✖Absolute temperature, often denoted as "T" or "T_absolute," is a temperature scale that starts from absolute zero, the lowest possible temperature where all molecular motion ceases.ⓘ Absolute Temperature [T]			+10% -10%
✖Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.ⓘ Post Detection Bandwidth [B]			+10% -10%
✖Resistivity of an optical material, often referred to as the electrical resistivity, quantifies how strongly a material opposes the flow of electric current.ⓘ Resistivity [R_e]			+10% -10%

✖Thermal Noise Current is a random electrical current that arises due to the thermal motion of charge carriers (usually electrons) within a conductor.ⓘ Thermal Noise Current [i_t]

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Formula

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Thermal Noise Current

Formula

`"i"_{"t"} = 4*"[BoltZ]"*"T"*"B"/"R"_{"e"}`

Example

`"4.9E^-16A"=4*"[BoltZ]"*"19K"*"8e6Hz"/"17Ω"`

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Thermal Noise Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity
i_t = 4*[BoltZ]*T*B/R_e
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Thermal Noise Current - (Measured in Ampere) - Thermal Noise Current is a random electrical current that arises due to the thermal motion of charge carriers (usually electrons) within a conductor.
Absolute Temperature - (Measured in Kelvin) - Absolute temperature, often denoted as "T" or "T_absolute," is a temperature scale that starts from absolute zero, the lowest possible temperature where all molecular motion ceases.
Post Detection Bandwidth - (Measured in Hertz) - Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.
Resistivity - (Measured in Ohm) - Resistivity of an optical material, often referred to as the electrical resistivity, quantifies how strongly a material opposes the flow of electric current.

STEP 1: Convert Input(s) to Base Unit

Absolute Temperature: 19 Kelvin --> 19 Kelvin No Conversion Required
Post Detection Bandwidth: 8000000 Hertz --> 8000000 Hertz No Conversion Required
Resistivity: 17 Ohm --> 17 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_t = 4*[BoltZ]*T*B/R_e --> 4*[BoltZ]*19*8000000/17

Evaluating ... ...

i_t = 4.93784882447059E-16

STEP 3: Convert Result to Output's Unit

4.93784882447059E-16 Ampere --> No Conversion Required

FINAL ANSWER

4.93784882447059E-16 ≈ 4.9E-16 Ampere <-- Thermal Noise Current

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 17 C-V Actions of Optics Transmission Calculators

Noise Equivalent Power

Go Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light)

Passband Ripple

Go Passband Ripple = ((1+sqrt(Resistance 1*Resistance 2)*Single Pass Gain)/(1-sqrt(Resistance 1*Resistance 2)*Single Pass Gain))^2

ASE Noise Power

Go ASE Noise Power = Mode Number*Spontaneous Emission Factor*(Single Pass Gain-1)*([hP]*Frequency Of Incident Light)*Post Detection Bandwidth

Noise Figure given ASE Noise Power

Go Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth))

Output Photo Current

Go Photocurrent = Quantum Efficiency*Incident Optical Power*[Charge-e]/([hP]*Frequency Of Incident Light)

Peak Parametric Gain

Go Peak Parametric Gain = 10*log10(0.25*exp(2*Fiber Non Linear Coefficient*Pump Signal Power*Fiber Length))

Responsivity with reference of Wavelength

Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c])

Total Shot Noise

Go Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current))

Responsivity in relation to Photon Energy

Go Responsivity of Photodetector = (Quantum Efficiency*[Charge-e])/([hP]*Frequency Of Incident Light)

Thermal Noise Current

Go Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity

Gain Coefficient

Go Net Gain Coefficient Per Unit Length = Optical Confinement Factor*Material Gain Coefficient-Effective Loss Coefficient

Junction Capacitance of Photodiode

Go Junction Capacitance = Permittivity of Semiconductor*Junction Area/Depletion Layer Width

Dark Current Noise

Go Dark Current Noise = 2*Post Detection Bandwidth*[Charge-e]*Dark Current

Load Resistor

Go Load Resistance = 1/(2*pi*Post Detection Bandwidth*Capacitance)

Optical Gain of Phototransistor

Go Optical Gain of Phototransistor = Quantum Efficiency*Common Emitter Current Gain

PhotoConductive Gain

Go PhotoConductive Gain = Slow Carrier Transit Time/Fast Carrier Transit Time

Responsivity of Photodetector

Go Responsivity of Photodetector = Photocurrent/Incident Power

Thermal Noise Current Formula

Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity
i_t = 4*[BoltZ]*T*B/R_e

Why is Thermal Noise Current required?

It is a fundamental consideration in electronic circuit design, especially in applications where low noise is critical, such as in amplifiers and sensitive sensors. The RMS value of the thermal noise current gives you an indication of the magnitude of the random electrical fluctuations due to thermal motion in a resistor or conductor over a specified bandwidth (Δf) at a given temperature (T).

How to Calculate Thermal Noise Current?

Thermal Noise Current calculator uses Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity to calculate the Thermal Noise Current, Thermal noise current is the RMS value which gives you an indication of the magnitude of the random electrical fluctuations due to thermal motion in a resistor or conductor over a specified bandwidth (B) at a given temperature (T). Thermal Noise Current is denoted by i_t symbol.

How to calculate Thermal Noise Current using this online calculator? To use this online calculator for Thermal Noise Current, enter Absolute Temperature (T), Post Detection Bandwidth (B) & Resistivity (R_e) and hit the calculate button. Here is how the Thermal Noise Current calculation can be explained with given input values -> 1.3E-21 = 4*[BoltZ]*19*8000000/17.

FAQ

What is Thermal Noise Current?

Thermal noise current is the RMS value which gives you an indication of the magnitude of the random electrical fluctuations due to thermal motion in a resistor or conductor over a specified bandwidth (B) at a given temperature (T) and is represented as i_t = 4*[BoltZ]*T*B/R_e or Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity. Absolute temperature, often denoted as "T" or "T_absolute," is a temperature scale that starts from absolute zero, the lowest possible temperature where all molecular motion ceases, Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal & Resistivity of an optical material, often referred to as the electrical resistivity, quantifies how strongly a material opposes the flow of electric current.

How to calculate Thermal Noise Current?

Thermal noise current is the RMS value which gives you an indication of the magnitude of the random electrical fluctuations due to thermal motion in a resistor or conductor over a specified bandwidth (B) at a given temperature (T) is calculated using Thermal Noise Current = 4*[BoltZ]*Absolute Temperature*Post Detection Bandwidth/Resistivity. To calculate Thermal Noise Current, you need Absolute Temperature (T), Post Detection Bandwidth (B) & Resistivity (R_e). With our tool, you need to enter the respective value for Absolute Temperature, Post Detection Bandwidth & Resistivity 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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