Total Root Mean Square Noise Current Calculator

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✖Total shot noise is a type of random electrical noise particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise.ⓘ Total Shot Noise [i_TS]			+10% -10%
✖Dark Current Noise is the electrical noise or current that is generated by photosensitive devices, when they are exposed to no external light or when they operate in the absence of incident photons.ⓘ Dark Current Noise [i_d]			+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]			+10% -10%

✖Total Root Mean Square Noise Current is the sum of shot noise, thermal noise current and dark current noise.ⓘ Total Root Mean Square Noise Current [I_N]

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Formula

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Total Root Mean Square Noise Current

Formula

`"I"_{"N"} = sqrt("i"_{"TS"}^2+"i"_{"d"}^2+"i"_{"t"}^2)`

Example

`"31.82766A"=sqrt(("13395.66nA")^2+("22A")^2+("23A")^2)`

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Total Root Mean Square Noise Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)
I_N = sqrt(i_TS^2+i_d^2+i_t^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Root Mean Square Noise Current - (Measured in Ampere) - Total Root Mean Square Noise Current is the sum of shot noise, thermal noise current and dark current noise.
Total Shot Noise - (Measured in Ampere) - Total shot noise is a type of random electrical noise particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise.
Dark Current Noise - (Measured in Ampere) - Dark Current Noise is the electrical noise or current that is generated by photosensitive devices, when they are exposed to no external light or when they operate in the absence of incident photons.
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.

STEP 1: Convert Input(s) to Base Unit

Total Shot Noise: 13395.66 Nanoampere --> 1.339566E-05 Ampere (Check conversion here)
Dark Current Noise: 22 Ampere --> 22 Ampere No Conversion Required
Thermal Noise Current: 23 Ampere --> 23 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_N = sqrt(i_TS^2+i_d^2+i_t^2) --> sqrt(1.339566E-05^2+22^2+23^2)

Evaluating ... ...

I_N = 31.8276609256819

STEP 3: Convert Result to Output's Unit

31.8276609256819 Ampere --> No Conversion Required

FINAL ANSWER

31.8276609256819 ≈ 31.82766 Ampere <-- Total Root Mean Square Noise Current

(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

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Dayananda Sagar College Of Engineering (DSCE), Banglore

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< 25 Optical Detectors Calculators

SNR of Good Avalanche Photodiode ADP Receiver in decibels

Go Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance)))

Photocurrent due to Incident Light

Go Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))

Probability of Detecting Photons

Go Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)

Excess Avalanche Noise Factor

Go Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)

Total Photodiode Current

Go Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent

Optical Gain of Phototransistors

Go Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)

Average Number of Photons Detected

Go Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])

Single Pass Phase Shift through Fabry-Perot Amplifier

Go Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer

Total Root Mean Square Noise Current

Go Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)

Average Received Optical Power

Go Average Received Optical Power = (20.7*[hP]*Frequency Of Incident Light)/(Time Period*Quantum Efficiency)

Total Power Accepted by Fiber

Go Total Power Accepted by Fiber = Incident Power*(1-(8*Axial Displacement)/(3*pi*Radius of Core))

Multiplied Photocurrent

Go Multiplied Photocurrent = Optical Gain of Phototransistor*Responsivity of Photodetector*Incident Power

Temperature Effect on Dark Current

Go Dark Current in raised temperature = Dark Current*2^((Changed Temperature-Previous Temperature)/10)

Incident Photon Rate

Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)

Maximum Photodiode 3 dB Bandwidth

Go Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)

Maximum 3dB Bandwidth of Metal Photodetector

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)

Bandwidth Penalty

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

Long Wavelength Cutoff Point

Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy

Quantum Efficiency of Photodetector

Go Quantum Efficiency = Number of Electrons/Number of Incident Photons

Multiplication Factor

Go Multiplication Factor = Output Current/Initial Photocurrent

Electron Rate in Detector

Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Transit Time with respect to Minority Carrier Diffusion

Go Diffusion Time = Distance^2/(2*Diffusion Coefficient)

Longest Transit Time

Go Transit Time = Depletion Layer Width/Drift Velocity

3 dB Bandwidth of Metal Photodetectors

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time)

Detectivity of Photodetector

Go Detectivity = 1/Noise Equivalent Power

Total Root Mean Square Noise Current Formula

Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)
I_N = sqrt(i_TS^2+i_d^2+i_t^2)

What is the significance of Total Root Mean Square Noise Current in Optical Fiber?

The total root mean square (RMS) noise current in an optical fiber communication system is a critical parameter that can significantly impact the system’s performance. The RMS noise current can affect the signal quality being transmitted through the optical fiber. The RMS noise current contributes to the overall noise in the system, affecting the signal-to-noise ratio (SNR). The level of RMS noise current can limit the system's performance, including its data rate and transmission distance.

How to Calculate Total Root Mean Square Noise Current?

Total Root Mean Square Noise Current calculator uses Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2) to calculate the Total Root Mean Square Noise Current, Total Root Mean Square Noise Current is calculated from the individual noise sources present in the system. When there are multiple noise sources, the total RMS noise signal that results is the square root of the sum of the average mean-square values of the individual sources. The magnitude of the noise is not measured by its average value but rather by its root mean square (RMS) value. Total Root Mean Square Noise Current is denoted by I_N symbol.

How to calculate Total Root Mean Square Noise Current using this online calculator? To use this online calculator for Total Root Mean Square Noise Current, enter Total Shot Noise (i_TS), Dark Current Noise (i_d) & Thermal Noise Current (i_t) and hit the calculate button. Here is how the Total Root Mean Square Noise Current calculation can be explained with given input values -> 31.82766 = sqrt(1.339566E-05^2+22^2+23^2).

FAQ

What is Total Root Mean Square Noise Current?

Total Root Mean Square Noise Current is calculated from the individual noise sources present in the system. When there are multiple noise sources, the total RMS noise signal that results is the square root of the sum of the average mean-square values of the individual sources. The magnitude of the noise is not measured by its average value but rather by its root mean square (RMS) value and is represented as I_N = sqrt(i_TS^2+i_d^2+i_t^2) or Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2). Total shot noise is a type of random electrical noise particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise, Dark Current Noise is the electrical noise or current that is generated by photosensitive devices, when they are exposed to no external light or when they operate in the absence of incident photons & Thermal Noise Current is a random electrical current that arises due to the thermal motion of charge carriers (usually electrons) within a conductor.

How to calculate Total Root Mean Square Noise Current?

Total Root Mean Square Noise Current is calculated from the individual noise sources present in the system. When there are multiple noise sources, the total RMS noise signal that results is the square root of the sum of the average mean-square values of the individual sources. The magnitude of the noise is not measured by its average value but rather by its root mean square (RMS) value is calculated using Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2). To calculate Total Root Mean Square Noise Current, you need Total Shot Noise (i_TS), Dark Current Noise (i_d) & Thermal Noise Current (i_t). With our tool, you need to enter the respective value for Total Shot Noise, Dark Current Noise & Thermal Noise Current 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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