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Saturation Current Density Formula

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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. Check FAQs

J 0 = [Charge-e] \cdot (\frac{D h}{L h} \cdot p n + \frac{D E}{L e} \cdot n p)

J₀ - Saturation Current Density?D_h - Diffusion Coefficient of Hole?L_h - Diffusion Length of Hole?p_n - Hole Concentration in n-Region?D_E - Electron Diffusion Coefficient?L_e - Diffusion Length of Electron?n_p - Electron Concentration in p-Region?[Charge-e] - Charge of electron?

Saturation Current Density Example

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Here is how the Saturation Current Density equation looks like with Values.

Here is how the Saturation Current Density equation looks like with Units.

Here is how the Saturation Current Density equation looks like.

1.6E-7 = 1.6E-19 \cdot (\frac{0.0012}{0.35} \cdot 2.6E+11 + \frac{0.0034}{0.71} \cdot 2.6E+10)

1.6E-7A/m² = 1.6E-19C \cdot (\frac{0.0012m²/s}{0.35mm} \cdot 2.6E+111/m³ + \frac{0.0034m²/s}{0.71mm} \cdot 2.6E+101/m³)

1.6E-7 = 1.6E-19 \cdot (\frac{0.0012}{0.35} \cdot 2.6E+11 + \frac{0.0034}{0.71} \cdot 2.6E+10)

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Saturation Current Density Solution

Follow our step by step solution on how to calculate Saturation Current Density?

FIRST Step Consider the formula

J 0 = [Charge-e] \cdot (\frac{D h}{L h} \cdot p n + \frac{D E}{L e} \cdot n p)

Next Step Substitute values of Variables

∴

J 0 = [Charge-e] \cdot (\frac{0.0012m²/s}{0.35mm} \cdot 2.6E+111/m³ + \frac{0.0034m²/s}{0.71mm} \cdot 2.6E+101/m³)

Next Step Substitute values of Constants

∴

J 0 = 1.6E-19C \cdot (\frac{0.0012m²/s}{0.35mm} \cdot 2.6E+111/m³ + \frac{0.0034m²/s}{0.71mm} \cdot 2.6E+101/m³)

Next Step Convert Units

∴

J 0 = 1.6E-19C \cdot (\frac{0.0012m²/s}{0.0004m} \cdot 2.6E+111/m³ + \frac{0.0034m²/s}{0.0007m} \cdot 2.6E+101/m³)

Next Step Prepare to Evaluate

∴

J 0 = 1.6E-19 \cdot (\frac{0.0012}{0.0004} \cdot 2.6E+11 + \frac{0.0034}{0.0007} \cdot 2.6E+10)

Next Step Evaluate

∴

J 0 = 1.60115132367406E-07A/m²

LAST Step Rounding Answer

∴

J 0 = 1.6E-7A/m²

Saturation Current Density Formula Elements

Variables

Constants

Saturation Current Density

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.

Symbol: J₀

Measurement: Surface Current DensityUnit: A/m²

Note: Value should be greater than 0.

Diffusion Coefficient of Hole

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.

Symbol: D_h

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Diffusion Length of Hole

Diffusion Length of Hole is the characteristic distance the holes travel before recombining during the diffusion process.

Symbol: L_h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Hole Concentration in n-Region

Hole Concentration in n-Region is the number of holes per unit volume in the n type doped region of the p-n junction.

Symbol: p_n

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Electron Diffusion Coefficient

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.

Symbol: D_E

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Diffusion Length of Electron

Diffusion Length of Electron is the characteristic distance the electrons travel before recombining during the diffusion process.

Symbol: L_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Electron Concentration in p-Region

Electron Concentration in p-Region is the number of electrons per unit volume in the p type doped region of the p-n junction.

Symbol: n_p

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

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

Credits

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Created by

The National Institute Of Engineering (NIE), Mysuru

Priyanka G Chalikar has created this Formula and 10+ more formulas!

Verifier Image

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Formula and 50+ more formulas!

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How to Evaluate Saturation Current Density?

Saturation Current Density evaluator 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 evaluate 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 evaluate Saturation Current Density using this online evaluator? To use this online evaluator 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.

FAQs on Saturation Current Density

What is the formula to find Saturation Current Density?

The formula of Saturation Current Density is expressed as 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). Here is an example- 1.6E-7 = [Charge-e]*((0.0012)/0.00035*256000000000+(0.003387)/0.00071*25500000000).

How to calculate Saturation Current Density?

With 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) we can find Saturation Current Density using the formula - 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). This formula also uses Charge of electron constant(s).

Can the Saturation Current Density be negative?

No, the Saturation Current Density, measured in Surface Current Density cannot be negative.

Which unit is used to measure Saturation Current Density?

Saturation Current Density is usually measured using the Ampere per Square Meter[A/m²] for Surface Current Density. Ampere per Square Centimeter[A/m²], Ampere per Square Inch[A/m²], Ampere per Circular Mil[A/m²] are the few other units in which Saturation Current Density can be measured.

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