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Total Shot Noise Formula

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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. Check FAQs

i TS = \sqrt{2 \cdot [Charge-e] \cdot B \cdot (I p + I d)}

i_TS - Total Shot Noise?B - Post Detection Bandwidth?I_p - Photocurrent?I_d - Dark Current?[Charge-e] - Charge of electron?

Total Shot Noise Example

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Here is how the Total Shot Noise equation looks like with Values.

Here is how the Total Shot Noise equation looks like with Units.

Here is how the Total Shot Noise equation looks like.

423.6081 = \sqrt{2 \cdot 1.6E-19 \cdot 8E+6 \cdot (70 + 11)}

423.6081nA = \sqrt{2 \cdot 1.6E-19C \cdot 8E+6Hz \cdot (70mA + 11nA)}

423.6081 = \sqrt{2 \cdot 1.6E-19 \cdot 8E+6 \cdot (70 + 11)}

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Total Shot Noise Solution

Follow our step by step solution on how to calculate Total Shot Noise?

FIRST Step Consider the formula

i TS = \sqrt{2 \cdot [Charge-e] \cdot B \cdot (I p + I d)}

Next Step Substitute values of Variables

∴

i TS = \sqrt{2 \cdot [Charge-e] \cdot 8E+6Hz \cdot (70mA + 11nA)}

Next Step Substitute values of Constants

∴

i TS = \sqrt{2 \cdot 1.6E-19C \cdot 8E+6Hz \cdot (70mA + 11nA)}

Next Step Convert Units

∴

i TS = \sqrt{2 \cdot 1.6E-19C \cdot 8E+6Hz \cdot (0.07A + 1.1E-8A)}

Next Step Prepare to Evaluate

∴

i TS = \sqrt{2 \cdot 1.6E-19 \cdot 8E+6 \cdot (0.07 + 1.1E-8)}

Next Step Evaluate

∴

i TS = 4.23608084953898E-07A

Next Step Convert to Output's Unit

∴

i TS = 423.608084953898nA

LAST Step Rounding Answer

∴

i TS = 423.6081nA

Total Shot Noise Formula Elements

Variables

Constants

Functions

Total Shot Noise

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.

Symbol: i_TS

Measurement: Electric CurrentUnit: nA

Note: Value should be greater than 0.

Formulas to find Total Shot Noise

Post Detection Bandwidth

Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Post Detection Bandwidth

Photocurrent

Photocurrent is the electrical current produced by the photodetector when exposed to light.

Symbol: I_p

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Photocurrent

Dark Current

Dark current is the electric current that flows through a photosensitive device, such as a photodetector, even when there is no incident light or photons striking the device.

Symbol: I_d

Measurement: Electric CurrentUnit: nA

Note: Value should be greater than 0.

Formulas to find Dark Current

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

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.

Syntax: sqrt(Number)

Other formulas in C V Actions of Optics Transmission category

Go Dark Current Noise

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C j = ε r \cdot \frac{A j}{w}

Go Load Resistor

R L = \frac{1}{2 \cdot π \cdot B \cdot C}

Go Noise Equivalent Power

NEP = [hP] \cdot [c] \cdot \frac{\sqrt{2 \cdot e \cdot I d}}{η \cdot e \cdot λ}

How to Evaluate Total Shot Noise?

Total Shot Noise evaluator uses Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)) to evaluate the Total Shot Noise, Total shot noise is a type of random electrical noise that occurs in electronic devices and systems, particularly in situations where discrete particles, such as electrons, are involved. It is also known as Poisson noise or statistical noise. Total Shot Noise is denoted by i_TS symbol.

How to evaluate Total Shot Noise using this online evaluator? To use this online evaluator for Total Shot Noise, enter Post Detection Bandwidth (B), Photocurrent (I_p) & Dark Current (I_d) and hit the calculate button.

FAQs on Total Shot Noise

What is the formula to find Total Shot Noise?

The formula of Total Shot Noise is expressed as Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)). Here is an example- 1.3E+13 = sqrt(2*[Charge-e]*8000000*(70+1.1E-08)).

How to calculate Total Shot Noise?

With Post Detection Bandwidth (B), Photocurrent (I_p) & Dark Current (I_d) we can find Total Shot Noise using the formula - Total Shot Noise = sqrt(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)). This formula also uses Charge of electron constant(s) and Square Root (sqrt) function(s).

Can the Total Shot Noise be negative?

No, the Total Shot Noise, measured in Electric Current cannot be negative.

Which unit is used to measure Total Shot Noise?

Total Shot Noise is usually measured using the Nanoampere[nA] for Electric Current. Ampere[nA], Milliampere[nA], Microampere[nA] are the few other units in which Total Shot Noise can be measured.

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Total Shot Noise Formula

Total Shot Noise Example

Total Shot Noise Solution

Total Shot Noise Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Total Shot Noise?

FAQs on Total Shot Noise

Variable Name