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Noise Equivalent Power Formula

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Noise Equivalent Power measures the minimum detectable power or intensity of radiation, taking into account the inherent noise in the detector system. Check FAQs

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

NEP - Noise Equivalent Power?e - Charge Of Particles?I_d - Dark Current?η - Quantum Efficiency?λ - Wavelength of Light?[hP] - Planck constant?[c] - Light speed in vacuum?

Noise Equivalent Power Example

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Here is how the Noise Equivalent Power equation looks like with Values.

Here is how the Noise Equivalent Power equation looks like with Units.

Here is how the Noise Equivalent Power equation looks like.

1.7E-23 = 6.6E-34 \cdot 3E+8 \cdot \frac{\sqrt{2 \cdot 14.02 \cdot 11}}{0.3 \cdot 14.02 \cdot 1.55}

1.7E-23W = 6.6E-34 \cdot 3E+8m/s \cdot \frac{\sqrt{2 \cdot 14.02C \cdot 11nA}}{0.3 \cdot 14.02C \cdot 1.55μm}

1.7E-23 = 6.6E-34 \cdot 3E+8 \cdot \frac{\sqrt{2 \cdot 14.02 \cdot 11}}{0.3 \cdot 14.02 \cdot 1.55}

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Noise Equivalent Power Solution

Follow our step by step solution on how to calculate Noise Equivalent Power?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

NEP = [hP] \cdot [c] \cdot \frac{\sqrt{2 \cdot 14.02C \cdot 11nA}}{0.3 \cdot 14.02C \cdot 1.55μm}

Next Step Substitute values of Constants

∴

NEP = 6.6E-34 \cdot 3E+8m/s \cdot \frac{\sqrt{2 \cdot 14.02C \cdot 11nA}}{0.3 \cdot 14.02C \cdot 1.55μm}

Next Step Convert Units

∴

NEP = 6.6E-34 \cdot 3E+8m/s \cdot \frac{\sqrt{2 \cdot 14.02C \cdot 1.1E-8A}}{0.3 \cdot 14.02C \cdot 1.6E-6m}

Next Step Prepare to Evaluate

∴

NEP = 6.6E-34 \cdot 3E+8 \cdot \frac{\sqrt{2 \cdot 14.02 \cdot 1.1E-8}}{0.3 \cdot 14.02 \cdot 1.6E-6}

Next Step Evaluate

∴

NEP = 1.69223668588226E-23W

LAST Step Rounding Answer

∴

NEP = 1.7E-23W

Noise Equivalent Power Formula Elements

Variables

Constants

Functions

Noise Equivalent Power

Noise Equivalent Power measures the minimum detectable power or intensity of radiation, taking into account the inherent noise in the detector system.

Symbol: NEP

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Noise Equivalent Power

Charge Of Particles

Charge Of Particles can have several values depending on the type of particle we are dealing with.

Symbol: e

Measurement: Electric ChargeUnit: C

Note: Value should be greater than 0.

Formulas to find Charge Of Particles

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

Quantum Efficiency

Quantum Efficiency represents the probability that a photon incident on the photodetector will generate an electron-hole pair, leading to a photocurrent.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Quantum Efficiency

Wavelength of Light

Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

Symbol: λ

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Wavelength of Light

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

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

i d = 2 \cdot B \cdot [Charge-e] \cdot I d

Go Junction Capacitance of Photodiode

C j = ε r \cdot \frac{A j}{w}

Go Load Resistor

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

Go Optical Gain of Phototransistor

G O = η \cdot h FE

How to Evaluate Noise Equivalent Power?

Noise Equivalent Power evaluator uses Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light) to evaluate the Noise Equivalent Power, Noise Equivalent Power (NEP) is a measure of the minimum detectable optical power or intensity for a photodetector or photodetector system. It quantifies the sensitivity of the detector by expressing the level of incident optical power required to produce a signal-to-noise ratio of 1. Noise Equivalent Power is denoted by NEP symbol.

How to evaluate Noise Equivalent Power using this online evaluator? To use this online evaluator for Noise Equivalent Power, enter Charge Of Particles (e), Dark Current (I_d), Quantum Efficiency (η) & Wavelength of Light (λ) and hit the calculate button.

FAQs on Noise Equivalent Power

What is the formula to find Noise Equivalent Power?

The formula of Noise Equivalent Power is expressed as Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light). Here is an example- 1.7E-23 = [hP]*[c]*sqrt(2*14.02*1.1E-08)/(0.3*14.02*1.55E-06).

How to calculate Noise Equivalent Power?

With Charge Of Particles (e), Dark Current (I_d), Quantum Efficiency (η) & Wavelength of Light (λ) we can find Noise Equivalent Power using the formula - Noise Equivalent Power = [hP]*[c]*sqrt(2*Charge Of Particles*Dark Current)/(Quantum Efficiency*Charge Of Particles*Wavelength of Light). This formula also uses Planck constant, Light speed in vacuum constant(s) and Square Root (sqrt) function(s).

Can the Noise Equivalent Power be negative?

No, the Noise Equivalent Power, measured in Power cannot be negative.

Which unit is used to measure Noise Equivalent Power?

Noise Equivalent Power is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Noise Equivalent Power can be measured.

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Noise Equivalent Power Formula

Noise Equivalent Power Example

Noise Equivalent Power Solution

Noise Equivalent Power Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Noise Equivalent Power?

FAQs on Noise Equivalent Power

Variable Name