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Maximum Electron Current per Unit Area Formula

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Current Density is a measure of the flow of electric charge through a given area of a conductor. Check FAQs

J = A \cdot T^{2} \cdot \exp (- \frac{Φ}{[BoltZ] \cdot T})

J - Current Density?A - Emission Constant?T - Temperature?Φ - Work Function?[BoltZ] - Boltzmann constant?

Maximum Electron Current per Unit Area Example

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Here is how the Maximum Electron Current per Unit Area equation looks like with Values.

Here is how the Maximum Electron Current per Unit Area equation looks like with Units.

Here is how the Maximum Electron Current per Unit Area equation looks like.

3.1381 = 120 \cdot 1100^{2} \cdot \exp (- \frac{0.8}{1.4E-23 \cdot 1100})

3.1381A/cm² = 120 \cdot {1100K}^{2} \cdot \exp (- \frac{0.8eV}{1.4E-23J/K \cdot 1100K})

3.1381 = 120 \cdot 1100^{2} \cdot \exp (- \frac{0.8}{1.4E-23 \cdot 1100})

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Maximum Electron Current per Unit Area Solution

Follow our step by step solution on how to calculate Maximum Electron Current per Unit Area?

FIRST Step Consider the formula

J = A \cdot T^{2} \cdot \exp (- \frac{Φ}{[BoltZ] \cdot T})

Next Step Substitute values of Variables

∴

J = 120 \cdot {1100K}^{2} \cdot \exp (- \frac{0.8eV}{[BoltZ] \cdot 1100K})

Next Step Substitute values of Constants

∴

J = 120 \cdot {1100K}^{2} \cdot \exp (- \frac{0.8eV}{1.4E-23J/K \cdot 1100K})

Next Step Convert Units

∴

J = 120 \cdot {1100K}^{2} \cdot \exp (- \frac{1.3E-19J}{1.4E-23J/K \cdot 1100K})

Next Step Prepare to Evaluate

∴

J = 120 \cdot 1100^{2} \cdot \exp (- \frac{1.3E-19}{1.4E-23 \cdot 1100})

Next Step Evaluate

∴

J = 31381.2706241948A/m²

Next Step Convert to Output's Unit

∴

J = 3.13812706241948A/cm²

LAST Step Rounding Answer

∴

J = 3.1381A/cm²

Maximum Electron Current per Unit Area Formula Elements

Variables

Constants

Functions

Current Density

Current Density is a measure of the flow of electric charge through a given area of a conductor.

Symbol: J

Measurement: Surface Current DensityUnit: A/cm²

Note: Value should be greater than 0.

Formulas to find Current Density

Emission Constant

Emission Constant is a constant. An emission constant is a numerical value or coefficient used in mathematical equations .

Symbol: A

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Emission Constant

Temperature

Temperature is a physical quantity that describes the level of thermal energy in a system.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature

Work Function

Work Function is a measure of the minimum amount of energy needed to remove an electron from a solid surface and set it free.

Symbol: Φ

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Work Function

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 Thermal Power Plant category

Go Current Density from Cathode to Anode

J c = A \cdot {T c}^{2} \cdot \exp (- \frac{[Charge-e] \cdot V c}{[BoltZ] \cdot T c})

Go Output Voltage given Anode and Cathode Voltages

V out = V c - V a

Go Output Voltage given Anode and Cathode Work Functions

V out = Φ c - Φ a

Go Output Voltage given Fermi Energy Levels

V out = \frac{εf a - εf c}{[Charge-e]}

How to Evaluate Maximum Electron Current per Unit Area?

Maximum Electron Current per Unit Area evaluator uses Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature)) to evaluate the Current Density, The Maximum Electron Current per Unit Area formula is defined as a measure of the flow of electric charge through a given area of a conductor. It is defined as the amount of electric current passing through a unit area perpendicular to the direction of current flow. Current Density is denoted by J symbol.

How to evaluate Maximum Electron Current per Unit Area using this online evaluator? To use this online evaluator for Maximum Electron Current per Unit Area, enter Emission Constant (A), Temperature (T) & Work Function (Φ) and hit the calculate button.

FAQs on Maximum Electron Current per Unit Area

What is the formula to find Maximum Electron Current per Unit Area?

The formula of Maximum Electron Current per Unit Area is expressed as Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature)). Here is an example- 0.000314 = 120*1100^2*exp(-1.28174186400001E-19/([BoltZ]*1100)).

How to calculate Maximum Electron Current per Unit Area?

With Emission Constant (A), Temperature (T) & Work Function (Φ) we can find Maximum Electron Current per Unit Area using the formula - Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature)). This formula also uses Boltzmann constant and Exponential Growth (exp) function(s).

Can the Maximum Electron Current per Unit Area be negative?

No, the Maximum Electron Current per Unit Area, measured in Surface Current Density cannot be negative.

Which unit is used to measure Maximum Electron Current per Unit Area?

Maximum Electron Current per Unit Area is usually measured using the Ampere per Square Centimeter[A/cm²] for Surface Current Density. Ampere per Square Meter[A/cm²], Ampere per Square Inch[A/cm²], Ampere per Circular Mil[A/cm²] are the few other units in which Maximum Electron Current per Unit Area can be measured.

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Maximum Electron Current per Unit Area Formula

Maximum Electron Current per Unit Area Example

Maximum Electron Current per Unit Area Solution

Maximum Electron Current per Unit Area Formula Elements

Other formulas in Thermal Power Plant category

How to Evaluate Maximum Electron Current per Unit Area?

FAQs on Maximum Electron Current per Unit Area

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