Mean Square Value of Shot Noise Calculator

✖Total Current in Analog Electronics is the time rate of flow of charge through a cross sectional area.ⓘ Total Current [i_t]			+10% -10%
✖The Reverse Saturation Current is defined as the part of the reverse current in a semiconductor diode which is caused by the diffusion of minority carriers.ⓘ Reverse Saturation Current [i_o]			+10% -10%
✖Effective Noise Bandwidth is a measure of the minimum signal-to-noise ratio required for a system to operate effectively. It takes into account noise floor of the system and desired signal level.ⓘ Effective Noise Bandwidth [BW_en]			+10% -10%

✖The Mean Square Shot Noise Current is defined as steady current, which when passed through a resistance for a given time will produce the same amount of heat.ⓘ Mean Square Value of Shot Noise [i_shot]

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Mean Square Value of Shot Noise Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth)
i_shot = sqrt(2*(i_t+i_o)*[Charge-e]*BW_en)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

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

Mean Square Shot Noise Current - (Measured in Ampere) - The Mean Square Shot Noise Current is defined as steady current, which when passed through a resistance for a given time will produce the same amount of heat.
Total Current - (Measured in Ampere) - Total Current in Analog Electronics is the time rate of flow of charge through a cross sectional area.
Reverse Saturation Current - (Measured in Ampere) - The Reverse Saturation Current is defined as the part of the reverse current in a semiconductor diode which is caused by the diffusion of minority carriers.
Effective Noise Bandwidth - (Measured in Hertz) - Effective Noise Bandwidth is a measure of the minimum signal-to-noise ratio required for a system to operate effectively. It takes into account noise floor of the system and desired signal level.

STEP 1: Convert Input(s) to Base Unit

Total Current: 8.25 Milliampere --> 0.00825 Ampere (Check conversion here)
Reverse Saturation Current: 126 Milliampere --> 0.126 Ampere (Check conversion here)
Effective Noise Bandwidth: 960 Hertz --> 960 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_shot = sqrt(2*(i_t+i_o)*[Charge-e]*BW_en) --> sqrt(2*(0.00825+0.126)*[Charge-e]*960)

Evaluating ... ...

i_shot = 6.42632901096108E-09

STEP 3: Convert Result to Output's Unit

6.42632901096108E-09 Ampere -->6.42632901096108E-06 Milliampere (Check conversion here)

FINAL ANSWER

6.42632901096108E-06 ≈ 6.4E-6 Milliampere <-- Mean Square Shot Noise Current

(Calculation completed in 00.020 seconds)

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Created by Pranav Simha R

BMS College of Engineering (BMSCE), Bangalore,India

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< Analog Noise and Power Analysis Calculators

Noise Factor

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

Noise Power at Output of Amplifier

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

Noise Power Gain

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

Equivalent Noise Temperature

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

Mean Square Value of Shot Noise Formula

LaTeX Go

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

What is the relationship of shot noise for the amplifying devices?

Shot noise is a statistical fluctuation in the output of an amplifying device, caused by the random arrival of photons or other particles at the input. It is a fundamental limit on the precision of measurements in many fields of physics and engineering, including image and signal processing, radio astronomy, and quantum computing.

How to Calculate Mean Square Value of Shot Noise?

Mean Square Value of Shot Noise calculator uses Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth) to calculate the Mean Square Shot Noise Current, The Mean Square Value of Shot Noise is defined as steady current, which when passed through a resistance for a given time will produce the same amount of heat. Mean Square Shot Noise Current is denoted by i_shot symbol.

How to calculate Mean Square Value of Shot Noise using this online calculator? To use this online calculator for Mean Square Value of Shot Noise, enter Total Current (i_t), Reverse Saturation Current (i_o) & Effective Noise Bandwidth (BW_en) and hit the calculate button. Here is how the Mean Square Value of Shot Noise calculation can be explained with given input values -> 0.006426 = sqrt(2*(0.00825+0.126)*[Charge-e]*960).

FAQ

What is Mean Square Value of Shot Noise?

The Mean Square Value of Shot Noise is defined as steady current, which when passed through a resistance for a given time will produce the same amount of heat and is represented as i_shot = sqrt(2*(i_t+i_o)*[Charge-e]*BW_en) or Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth). Total Current in Analog Electronics is the time rate of flow of charge through a cross sectional area, The Reverse Saturation Current is defined as the part of the reverse current in a semiconductor diode which is caused by the diffusion of minority carriers & Effective Noise Bandwidth is a measure of the minimum signal-to-noise ratio required for a system to operate effectively. It takes into account noise floor of the system and desired signal level.

How to calculate Mean Square Value of Shot Noise?

The Mean Square Value of Shot Noise is defined as steady current, which when passed through a resistance for a given time will produce the same amount of heat is calculated using Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth). To calculate Mean Square Value of Shot Noise, you need Total Current (i_t), Reverse Saturation Current (i_o) & Effective Noise Bandwidth (BW_en). With our tool, you need to enter the respective value for Total Current, Reverse Saturation Current & Effective 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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