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Total Current Density Formula

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Total Current Density is defined as the current flowing per unit surface area of the conductor. Check FAQs

J = J 0 \cdot (\exp (\frac{[Charge-e] \cdot V 0}{[BoltZ] \cdot T}) - 1)

J - Total Current Density?J₀ - Saturation Current Density?V₀ - Voltage Across PN Junction?T - Absolute Temperature?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?

Total Current Density Example

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

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

Here is how the Total Current Density equation looks like.

7.9148 = 1.6E-7 \cdot (\exp (\frac{1.6E-19 \cdot 0.6}{1.4E-23 \cdot 393}) - 1)

7.9148C/m² = 1.6E-7A/m² \cdot (\exp (\frac{1.6E-19C \cdot 0.6V}{1.4E-23J/K \cdot 393K}) - 1)

7.9148 = 1.6E-7 \cdot (\exp (\frac{1.6E-19 \cdot 0.6}{1.4E-23 \cdot 393}) - 1)

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Total Current Density Solution

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

FIRST Step Consider the formula

J = J 0 \cdot (\exp (\frac{[Charge-e] \cdot V 0}{[BoltZ] \cdot T}) - 1)

Next Step Substitute values of Variables

∴

J = 1.6E-7A/m² \cdot (\exp (\frac{[Charge-e] \cdot 0.6V}{[BoltZ] \cdot 393K}) - 1)

Next Step Substitute values of Constants

∴

J = 1.6E-7A/m² \cdot (\exp (\frac{1.6E-19C \cdot 0.6V}{1.4E-23J/K \cdot 393K}) - 1)

Next Step Prepare to Evaluate

∴

J = 1.6E-7 \cdot (\exp (\frac{1.6E-19 \cdot 0.6}{1.4E-23 \cdot 393}) - 1)

Next Step Evaluate

∴

J = 7.91480868903785C/m²

LAST Step Rounding Answer

∴

J = 7.9148C/m²

Total Current Density Formula Elements

Variables

Constants

Functions

Total Current Density

Total Current Density is defined as the current flowing per unit surface area of the conductor.

Symbol: J

Measurement: Surface Charge DensityUnit: C/m²

Note: Value should be greater than 0.

Formulas to find Total Current Density

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.

Formulas to find Saturation Current Density

Voltage Across PN Junction

Voltage Across PN Junction is the built-in potential across the pn junction of a semiconductor without any external bias.

Symbol: V₀

Measurement: Electric PotentialUnit: V

Note: Value should be between 0.3 to 0.8.

Formulas to find Voltage Across PN Junction

Absolute Temperature

Absolute Temperature represents the temperature of the system.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Absolute Temperature

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 Photonics Devices category

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Go Net Phase Shift

ΔΦ = \frac{π}{λ o} \cdot {(n ri)}^{3} \cdot r \cdot V cc

Go Length of Cavity

L c = \frac{λ \cdot m}{2}

Go Mode Number

m = \frac{2 \cdot L c \cdot n ri}{λ}

How to Evaluate Total Current Density?

Total Current Density evaluator uses Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1) to evaluate 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 evaluate Total Current Density using this online evaluator? To use this online evaluator for Total Current Density, enter Saturation Current Density (J₀), Voltage Across PN Junction (V₀) & Absolute Temperature (T) and hit the calculate button.

FAQs on Total Current Density

What is the formula to find Total Current Density?

The formula of Total Current Density is expressed as Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1). Here is an example- 7.914809 = 1.6E-07*(exp(([Charge-e]*0.6)/([BoltZ]*393))-1).

How to calculate Total Current Density?

With Saturation Current Density (J₀), Voltage Across PN Junction (V₀) & Absolute Temperature (T) we can find Total Current Density using the formula - Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1). This formula also uses Charge of electron, Boltzmann constant and Exponential Growth (exp) function(s).

Can the Total Current Density be negative?

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

Which unit is used to measure Total Current Density?

Total Current Density is usually measured using the Coulomb per Square Meter[C/m²] for Surface Charge Density. Coulomb per Square Centimeter[C/m²], Coulomb per Square Inch[C/m²], Abcoulomb per Square Meter[C/m²] are the few other units in which Total Current Density can be measured.

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Total Current Density Formula

Total Current Density Example

Total Current Density Solution

Total Current Density Formula Elements

Other formulas in Photonics Devices category

How to Evaluate Total Current Density?

FAQs on Total Current Density

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