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Responsivity with reference of Wavelength Formula

GoResponsivity in relation to Photon Energy Formula

GoResponsivity of Photodetector Formula

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Responsivity of Photodetector quantifies how much electrical current a photodetector generates in response to a certain amount of incident optical power. Check FAQs

R = \frac{η \cdot [Charge-e] \cdot λ}{[hP] \cdot [c]}

R - Responsivity of Photodetector?η - Quantum Efficiency?λ - Wavelength of Light?[Charge-e] - Charge of electron?[hP] - Planck constant?[c] - Light speed in vacuum?

Responsivity with reference of Wavelength Example

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Here is how the Responsivity with reference of Wavelength equation looks like with Values.

Here is how the Responsivity with reference of Wavelength equation looks like with Units.

Here is how the Responsivity with reference of Wavelength equation looks like.

0.375 = \frac{0.3 \cdot 1.6E-19 \cdot 1.55}{6.6E-34 \cdot 3E+8}

0.375A = \frac{0.3 \cdot 1.6E-19C \cdot 1.55μm}{6.6E-34 \cdot 3E+8m/s}

0.375 = \frac{0.3 \cdot 1.6E-19 \cdot 1.55}{6.6E-34 \cdot 3E+8}

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Responsivity with reference of Wavelength Solution

Follow our step by step solution on how to calculate Responsivity with reference of Wavelength?

FIRST Step Consider the formula

R = \frac{η \cdot [Charge-e] \cdot λ}{[hP] \cdot [c]}

Next Step Substitute values of Variables

∴

R = \frac{0.3 \cdot [Charge-e] \cdot 1.55μm}{[hP] \cdot [c]}

Next Step Substitute values of Constants

∴

R = \frac{0.3 \cdot 1.6E-19C \cdot 1.55μm}{6.6E-34 \cdot 3E+8m/s}

Next Step Convert Units

∴

R = \frac{0.3 \cdot 1.6E-19C \cdot 1.6E-6m}{6.6E-34 \cdot 3E+8m/s}

Next Step Prepare to Evaluate

∴

R = \frac{0.3 \cdot 1.6E-19 \cdot 1.6E-6}{6.6E-34 \cdot 3E+8}

Next Step Evaluate

∴

R = 0.375047796035731A

LAST Step Rounding Answer

∴

R = 0.375A

Responsivity with reference of Wavelength Formula Elements

Variables

Constants

Responsivity of Photodetector

Responsivity of Photodetector quantifies how much electrical current a photodetector generates in response to a certain amount of incident optical power.

Symbol: R

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Responsivity of Photodetector

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

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

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

Other Formulas to find Responsivity of Photodetector

Go Responsivity in relation to Photon Energy

R = \frac{η \cdot [Charge-e]}{[hP] \cdot f}

Go Responsivity of Photodetector

R = \frac{I p}{P o}

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 Noise Equivalent Power

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

How to Evaluate Responsivity with reference of Wavelength?

Responsivity with reference of Wavelength evaluator uses Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c]) to evaluate the Responsivity of Photodetector, Responsivity with reference of Wavelength is used to measure the input-output gain of the detector in a fibre optic system. Responsivity of Photodetector is denoted by R symbol.

How to evaluate Responsivity with reference of Wavelength using this online evaluator? To use this online evaluator for Responsivity with reference of Wavelength, enter Quantum Efficiency (η) & Wavelength of Light (λ) and hit the calculate button.

FAQs on Responsivity with reference of Wavelength

What is the formula to find Responsivity with reference of Wavelength?

The formula of Responsivity with reference of Wavelength is expressed as Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c]). Here is an example- 0.375048 = (0.3*[Charge-e]*1.55E-06)/([hP]*[c]).

How to calculate Responsivity with reference of Wavelength?

With Quantum Efficiency (η) & Wavelength of Light (λ) we can find Responsivity with reference of Wavelength using the formula - Responsivity of Photodetector = (Quantum Efficiency*[Charge-e]*Wavelength of Light)/([hP]*[c]). This formula also uses Charge of electron, Planck constant, Light speed in vacuum constant(s).

What are the other ways to Calculate Responsivity of Photodetector?

Here are the different ways to Calculate Responsivity of Photodetector-

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

Can the Responsivity with reference of Wavelength be negative?

No, the Responsivity with reference of Wavelength, measured in Electric Current cannot be negative.

Which unit is used to measure Responsivity with reference of Wavelength?

Responsivity with reference of Wavelength is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Responsivity with reference of Wavelength can be measured.

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