Saturation Current Density Calculator

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✖Diffusion Coefficient of Hole is a measure of the ease of the hole motion through the crystal lattice. It is related to the mobility of the carrier, hole in this case.ⓘ Diffusion Coefficient of Hole [D_h]			+10% -10%
✖Diffusion Length of Hole is the characteristic distance the holes travel before recombining during the diffusion process.ⓘ Diffusion Length of Hole [L_h]			+10% -10%
✖Hole Concentration in n-Region is the number of holes per unit volume in the n type doped region of the p-n junction.ⓘ Hole Concentration in n-Region [p_n]			+10% -10%
✖Electron Diffusion Coefficient is a measure of the ease of electron motion through the crystal lattice. It is related to the mobility of the carrier, electron in this case.ⓘ Electron Diffusion Coefficient [D_E]			+10% -10%
✖Diffusion Length of Electron is the characteristic distance the electrons travel before recombining during the diffusion process.ⓘ Diffusion Length of Electron [L_e]			+10% -10%
✖Electron Concentration in p-Region is the number of electrons per unit volume in the p type doped region of the p-n junction.ⓘ Electron Concentration in p-Region [n_p]			+10% -10%

✖Saturation Current Density is the current flow per unit area of the pn junction when a few volts of reverse bias is applied to the junction.ⓘ Saturation Current Density [J₀]

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Formula

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Saturation Current Density

Formula

`"J"_{"0"} = "[Charge-e]"*(("D"_{"h"})/"L"_{"h"}*"p"_{"n"}+("D"_{"E"})/"L"_{"e"}*"n"_{"p"})`

Example

`"1.6E^-7A/m²"="[Charge-e]"*(("1.2e-3m²/s")/"0.35mm"*"2.56e+11/m³"+("0.003387m²/s")/"0.71mm"*"2.55e+10/m³")`

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Saturation Current Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region)
J₀ = [Charge-e]*((D_h)/L_h*p_n+(D_E)/L_e*n_p)
This formula uses 1 Constants, 7 Variables

Constants Used

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

Variables Used

Saturation Current Density - (Measured in Ampere per Square Meter) - Saturation Current Density is the current flow per unit area of the pn junction when a few volts of reverse bias is applied to the junction.
Diffusion Coefficient of Hole - (Measured in Square Meter Per Second) - Diffusion Coefficient of Hole is a measure of the ease of the hole motion through the crystal lattice. It is related to the mobility of the carrier, hole in this case.
Diffusion Length of Hole - (Measured in Meter) - Diffusion Length of Hole is the characteristic distance the holes travel before recombining during the diffusion process.
Hole Concentration in n-Region - (Measured in 1 per Cubic Meter) - Hole Concentration in n-Region is the number of holes per unit volume in the n type doped region of the p-n junction.
Electron Diffusion Coefficient - (Measured in Square Meter Per Second) - Electron Diffusion Coefficient is a measure of the ease of electron motion through the crystal lattice. It is related to the mobility of the carrier, electron in this case.
Diffusion Length of Electron - (Measured in Meter) - Diffusion Length of Electron is the characteristic distance the electrons travel before recombining during the diffusion process.
Electron Concentration in p-Region - (Measured in 1 per Cubic Meter) - Electron Concentration in p-Region is the number of electrons per unit volume in the p type doped region of the p-n junction.

STEP 1: Convert Input(s) to Base Unit

Diffusion Coefficient of Hole: 0.0012 Square Meter Per Second --> 0.0012 Square Meter Per Second No Conversion Required
Diffusion Length of Hole: 0.35 Millimeter --> 0.00035 Meter (Check conversion here)
Hole Concentration in n-Region: 256000000000 1 per Cubic Meter --> 256000000000 1 per Cubic Meter No Conversion Required
Electron Diffusion Coefficient: 0.003387 Square Meter Per Second --> 0.003387 Square Meter Per Second No Conversion Required
Diffusion Length of Electron: 0.71 Millimeter --> 0.00071 Meter (Check conversion here)
Electron Concentration in p-Region: 25500000000 1 per Cubic Meter --> 25500000000 1 per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J₀ = [Charge-e]*((D_h)/L_h*p_n+(D_E)/L_e*n_p) --> [Charge-e]*((0.0012)/0.00035*256000000000+(0.003387)/0.00071*25500000000)

Evaluating ... ...

J₀ = 1.60115132367406E-07

STEP 3: Convert Result to Output's Unit

1.60115132367406E-07 Ampere per Square Meter --> No Conversion Required

FINAL ANSWER

1.60115132367406E-07 ≈ 1.6E-7 Ampere per Square Meter <-- Saturation Current Density

(Calculation completed in 00.008 seconds)

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Home » Engineering » Electronics » Opto Electronics Devices » Photonics Devices » Saturation Current Density

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Created by Priyanka G Chalikar

The National Institute Of Engineering (NIE), Mysuru

Priyanka G Chalikar has created this Calculator and 10+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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< 13 Photonics Devices Calculators

Saturation Current Density

Go Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region)

Spectral Radiant Emittance

Go Spectral Radiant Emittance = (2*pi*[hP]*[c]^3)/Wavelength of Visible Light^5*1/(exp(([hP]*[c])/(Wavelength of Visible Light*[BoltZ]*Absolute Temperature))-1)

Contact Potential Difference

Go Voltage Across PN Junction = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Carrier Concentration)^2)

Energy Density given Einstein Co-Efficients

Go Energy Density = (8*[hP]*Frequency of Radiation^3)/[c]^3*(1/(exp((Planck's Constant*Frequency of Radiation)/([BoltZ]*Temperature))-1))

Proton Concentration under Unbalanced Condition

Go Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature))

Total Current Density

Go Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1)

Net Phase Shift

Go Net Phase Shift = pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage

Relative Population

Go Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature))

Optical Power Radiated

Go Optical Power Radiated = Emissivity*[Stefan-BoltZ]*Area of Source*Temperature^4

Mode Number

Go Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength

Wavelength of Radiation in Vaccum

Go Wavelength of Wave = Apex Angle*(180/pi)*2*Single Pinhole

Wavelength of Output Light

Go Wavelength of Light = Refractive Index*Photon Wavelength

Length of Cavity

Go Length of Cavity = (Photon Wavelength*Mode Number)/2

Saturation Current Density Formula

What is Saturation Current?

Saturation Current is the part of the reverse current in a diode caused by diffusion of minority carriers from the neutral regions to the depletion region. It is also known as scale current.

How to Calculate Saturation Current Density?

Saturation Current Density calculator uses Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region) to calculate the Saturation Current Density, The Saturation Current Density formula is defined as the current flow per unit area of the pn junction when a few volts of reverse bias is applied to the junction. Saturation Current Density is denoted by J₀ symbol.

How to calculate Saturation Current Density using this online calculator? To use this online calculator for Saturation Current Density, enter Diffusion Coefficient of Hole (D_h), Diffusion Length of Hole (L_h), Hole Concentration in n-Region (p_n), Electron Diffusion Coefficient (D_E), Diffusion Length of Electron (L_e) & Electron Concentration in p-Region (n_p) and hit the calculate button. Here is how the Saturation Current Density calculation can be explained with given input values -> 1.6E-7 = [Charge-e]*((0.0012)/0.00035*256000000000+(0.003387)/0.00071*25500000000).

FAQ

What is Saturation Current Density?

The Saturation Current Density formula is defined as the current flow per unit area of the pn junction when a few volts of reverse bias is applied to the junction and is represented as J₀ = [Charge-e]*((D_h)/L_h*p_n+(D_E)/L_e*n_p) or Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region). Diffusion Coefficient of Hole is a measure of the ease of the hole motion through the crystal lattice. It is related to the mobility of the carrier, hole in this case, Diffusion Length of Hole is the characteristic distance the holes travel before recombining during the diffusion process, Hole Concentration in n-Region is the number of holes per unit volume in the n type doped region of the p-n junction, Electron Diffusion Coefficient is a measure of the ease of electron motion through the crystal lattice. It is related to the mobility of the carrier, electron in this case, Diffusion Length of Electron is the characteristic distance the electrons travel before recombining during the diffusion process & Electron Concentration in p-Region is the number of electrons per unit volume in the p type doped region of the p-n junction.

How to calculate Saturation Current Density?

The Saturation Current Density formula is defined as the current flow per unit area of the pn junction when a few volts of reverse bias is applied to the junction is calculated using Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region). To calculate Saturation Current Density, you need Diffusion Coefficient of Hole (D_h), Diffusion Length of Hole (L_h), Hole Concentration in n-Region (p_n), Electron Diffusion Coefficient (D_E), Diffusion Length of Electron (L_e) & Electron Concentration in p-Region (n_p). With our tool, you need to enter the respective value for Diffusion Coefficient of Hole, Diffusion Length of Hole, Hole Concentration in n-Region, Electron Diffusion Coefficient, Diffusion Length of Electron & Electron Concentration in p-Region 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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