Total Current Density Calculator

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✖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]			+10% -10%
✖Voltage Across PN Junction is the built-in potential across the pn junction of a semiconductor without any external bias.ⓘ Voltage Across PN Junction [V₀]			+10% -10%
✖Absolute Temperature represents the temperature of the system.ⓘ Absolute Temperature [T]			+10% -10%

✖Total Current Density is defined as the current flowing per unit surface area of the conductor.ⓘ Total Current Density [J]

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Formula

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Total Current Density

Formula

`"J" = "J"_{"0"}*(exp(("[Charge-e]"*"V"_{"0"})/("[BoltZ]"*"T"))-1)`

Example

`"7.914809C/m²"="1.6E^-7A/m²"*(exp(("[Charge-e]"*"0.6V")/("[BoltZ]"*"393K"))-1)`

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Total Current Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1)
J = J₀*(exp(([Charge-e]*V₀)/([BoltZ]*T))-1)
This formula uses 2 Constants, 1 Functions, 4 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Functions Used

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

Variables Used

Total Current Density - (Measured in Coulomb per Square Meter) - Total Current Density is defined as the current flowing per unit surface area of the conductor.
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.
Voltage Across PN Junction - (Measured in Volt) - Voltage Across PN Junction is the built-in potential across the pn junction of a semiconductor without any external bias.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature represents the temperature of the system.

STEP 1: Convert Input(s) to Base Unit

Saturation Current Density: 1.6E-07 Ampere per Square Meter --> 1.6E-07 Ampere per Square Meter No Conversion Required
Voltage Across PN Junction: 0.6 Volt --> 0.6 Volt No Conversion Required
Absolute Temperature: 393 Kelvin --> 393 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J = J₀*(exp(([Charge-e]*V₀)/([BoltZ]*T))-1) --> 1.6E-07*(exp(([Charge-e]*0.6)/([BoltZ]*393))-1)

Evaluating ... ...

J = 7.91480868903785

STEP 3: Convert Result to Output's Unit

7.91480868903785 Coulomb per Square Meter --> No Conversion Required

FINAL ANSWER

7.91480868903785 ≈ 7.914809 Coulomb per Square Meter <-- Total Current Density

(Calculation completed in 00.004 seconds)

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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

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 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

Total Current Density Formula

Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1)
J = J₀*(exp(([Charge-e]*V₀)/([BoltZ]*T))-1)

What other parameters can be used to calculate current density?

Total current density can also be calculated when the mobility of the carriers, or conductivity of the electrons or cross-sectional area of the conductor is known to us.

How to Calculate Total Current Density?

Total Current Density calculator uses Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1) to calculate the Total Current Density, The Total Current Density formula is defined as the current flowing per unit surface area of the conductor. Here, it is defined with respect to the saturation current density. Total Current Density is denoted by J symbol.

How to calculate Total Current Density using this online calculator? To use this online calculator for Total Current Density, enter Saturation Current Density (J₀), Voltage Across PN Junction (V₀) & Absolute Temperature (T) and hit the calculate button. Here is how the Total Current Density calculation can be explained with given input values -> 7.914809 = 1.6E-07*(exp(([Charge-e]*0.6)/([BoltZ]*393))-1).

FAQ

What is Total Current Density?

The Total Current Density formula is defined as the current flowing per unit surface area of the conductor. Here, it is defined with respect to the saturation current density and is represented as J = J₀*(exp(([Charge-e]*V₀)/([BoltZ]*T))-1) or Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1). 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, Voltage Across PN Junction is the built-in potential across the pn junction of a semiconductor without any external bias & Absolute Temperature represents the temperature of the system.

How to calculate Total Current Density?

The Total Current Density formula is defined as the current flowing per unit surface area of the conductor. Here, it is defined with respect to the saturation current density is calculated using Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1). To calculate Total Current Density, you need Saturation Current Density (J₀), Voltage Across PN Junction (V₀) & Absolute Temperature (T). With our tool, you need to enter the respective value for Saturation Current Density, Voltage Across PN Junction & Absolute Temperature 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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