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Total Photodiode Current Formula

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Output Current is the total output current at the operating voltage. Check FAQs

I o = I d \cdot (\exp (\frac{[Charge-e] \cdot V ph}{2 \cdot [BoltZ] \cdot T}) - 1) + I p

I_o - Output Current?I_d - Dark Current?V_ph - Photodiode Voltage?T - Temperature?I_p - Photocurrent?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?

Total Photodiode Current Example

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Here is how the Total Photodiode Current equation looks like with Values.

Here is how the Total Photodiode Current equation looks like with Units.

Here is how the Total Photodiode Current equation looks like.

9.9422 = 11 \cdot (\exp (\frac{1.6E-19 \cdot 302}{2 \cdot 1.4E-23 \cdot 85}) - 1) + 70

9.9422A = 11nA \cdot (\exp (\frac{1.6E-19C \cdot 302mV}{2 \cdot 1.4E-23J/K \cdot 85K}) - 1) + 70mA

9.9422 = 11 \cdot (\exp (\frac{1.6E-19 \cdot 302}{2 \cdot 1.4E-23 \cdot 85}) - 1) + 70

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Total Photodiode Current Solution

Follow our step by step solution on how to calculate Total Photodiode Current?

FIRST Step Consider the formula

I o = I d \cdot (\exp (\frac{[Charge-e] \cdot V ph}{2 \cdot [BoltZ] \cdot T}) - 1) + I p

Next Step Substitute values of Variables

∴

I o = 11nA \cdot (\exp (\frac{[Charge-e] \cdot 302mV}{2 \cdot [BoltZ] \cdot 85K}) - 1) + 70mA

Next Step Substitute values of Constants

∴

I o = 11nA \cdot (\exp (\frac{1.6E-19C \cdot 302mV}{2 \cdot 1.4E-23J/K \cdot 85K}) - 1) + 70mA

Next Step Convert Units

∴

I o = 1.1E-8A \cdot (\exp (\frac{1.6E-19C \cdot 0.302V}{2 \cdot 1.4E-23J/K \cdot 85K}) - 1) + 0.07A

Next Step Prepare to Evaluate

∴

I o = 1.1E-8 \cdot (\exp (\frac{1.6E-19 \cdot 0.302}{2 \cdot 1.4E-23 \cdot 85}) - 1) + 0.07

Next Step Evaluate

∴

I o = 9.94218843963191A

LAST Step Rounding Answer

∴

I o = 9.9422A

Total Photodiode Current Formula Elements

Variables

Constants

Functions

Output Current

Output Current is the total output current at the operating voltage.

Symbol: I_o

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Output Current

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

Photodiode Voltage

Photodiode Voltage is the voltage across the diode junction.

Symbol: V_ph

Measurement: Electric PotentialUnit: mV

Note: Value should be greater than 0.

Formulas to find Photodiode Voltage

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

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

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

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Optical Detectors category

Go Quantum Efficiency of Photodetector

η = \frac{N e}{N p}

Go Incident Photon Rate

R i = \frac{P i}{[hP] \cdot F i}

Go Electron Rate in Detector

R p = η \cdot R i

Go Long Wavelength Cutoff Point

λ c = [hP] \cdot \frac{[c]}{E g}

How to Evaluate Total Photodiode Current?

Total Photodiode Current evaluator uses Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent to evaluate the Output Current, Total Photodiode Current is the sum of the dark current and the photocurrent. The dark current is the current that is passed in the absence of light. The photocurrent is produced when a photon of sufficient energy strikes the diode, creating an electron-hole pair. Output Current is denoted by I_o symbol.

How to evaluate Total Photodiode Current using this online evaluator? To use this online evaluator for Total Photodiode Current, enter Dark Current (I_d), Photodiode Voltage (V_ph), Temperature (T) & Photocurrent (I_p) and hit the calculate button.

FAQs on Total Photodiode Current

What is the formula to find Total Photodiode Current?

The formula of Total Photodiode Current is expressed as Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent. Here is an example- 9.942188 = 1.1E-08*(exp(([Charge-e]*0.302)/(2*[BoltZ]*85))-1)+0.07.

How to calculate Total Photodiode Current?

With Dark Current (I_d), Photodiode Voltage (V_ph), Temperature (T) & Photocurrent (I_p) we can find Total Photodiode Current using the formula - Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent. This formula also uses Charge of electron, Boltzmann constant and Exponential Growth (exp) function(s).

Can the Total Photodiode Current be negative?

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

Which unit is used to measure Total Photodiode Current?

Total Photodiode Current is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Total Photodiode Current can be measured.

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Total Photodiode Current Formula

Total Photodiode Current Example

Total Photodiode Current Solution

Total Photodiode Current Formula Elements

Other formulas in Optical Detectors category

How to Evaluate Total Photodiode Current?

FAQs on Total Photodiode Current

Variable Name