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Current Density from Cathode to Anode Formula

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

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

J_c - Cathode Current Density?A - Emission Constant?T_c - Cathode Temperature?V_c - Cathode Voltage?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?

Current Density from Cathode to Anode Example

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Here is how the Current Density from Cathode to Anode equation looks like with Values.

Here is how the Current Density from Cathode to Anode equation looks like with Units.

Here is how the Current Density from Cathode to Anode equation looks like.

0.4714 = 120 \cdot 1350^{2} \cdot \exp (- \frac{1.6E-19 \cdot 1.25}{1.4E-23 \cdot 1350})

0.4714A/cm² = 120 \cdot {1350K}^{2} \cdot \exp (- \frac{1.6E-19C \cdot 1.25V}{1.4E-23J/K \cdot 1350K})

0.4714 = 120 \cdot 1350^{2} \cdot \exp (- \frac{1.6E-19 \cdot 1.25}{1.4E-23 \cdot 1350})

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Current Density from Cathode to Anode Solution

Follow our step by step solution on how to calculate Current Density from Cathode to Anode?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

J c = 120 \cdot {1350K}^{2} \cdot \exp (- \frac{[Charge-e] \cdot 1.25V}{[BoltZ] \cdot 1350K})

Next Step Substitute values of Constants

∴

J c = 120 \cdot {1350K}^{2} \cdot \exp (- \frac{1.6E-19C \cdot 1.25V}{1.4E-23J/K \cdot 1350K})

Next Step Prepare to Evaluate

∴

J c = 120 \cdot 1350^{2} \cdot \exp (- \frac{1.6E-19 \cdot 1.25}{1.4E-23 \cdot 1350})

Next Step Evaluate

∴

J c = 4713.96027911451A/m²

Next Step Convert to Output's Unit

∴

J c = 0.471396027911451A/cm²

LAST Step Rounding Answer

∴

J c = 0.4714A/cm²

Current Density from Cathode to Anode Formula Elements

Variables

Constants

Functions

Cathode Current Density

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

Symbol: J_c

Measurement: Surface Current DensityUnit: A/cm²

Note: Value should be greater than 0.

Formulas to find Cathode 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

Cathode Temperature

Cathode Temperature is a physical quantity that describes the level of thermal energy in a system, or the degree of hotness or coldness of Cathode.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Cathode Temperature

Cathode Voltage

Cathode Voltage is the cathode potential. Cathode voltage refers to the electrical potential difference or voltage at the cathode of an electrochemical cell or device.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Cathode Voltage

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 Thermal Power Plant category

Go Maximum Electron Current per Unit Area

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

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 Current Density from Cathode to Anode?

Current Density from Cathode to Anode evaluator uses Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)) to evaluate the Cathode Current Density, The Current Density from Cathode to Anode 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. Cathode Current Density is denoted by J_c symbol.

How to evaluate Current Density from Cathode to Anode using this online evaluator? To use this online evaluator for Current Density from Cathode to Anode, enter Emission Constant (A), Cathode Temperature (T_c) & Cathode Voltage (V_c) and hit the calculate button.

FAQs on Current Density from Cathode to Anode

What is the formula to find Current Density from Cathode to Anode?

The formula of Current Density from Cathode to Anode is expressed as Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)). Here is an example- 4.7E-5 = 120*1350^2*exp(-([Charge-e]*1.25)/([BoltZ]*1350)).

How to calculate Current Density from Cathode to Anode?

With Emission Constant (A), Cathode Temperature (T_c) & Cathode Voltage (V_c) we can find Current Density from Cathode to Anode using the formula - Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)). This formula also uses Charge of electron, Boltzmann constant and Exponential Growth (exp) function(s).

Can the Current Density from Cathode to Anode be negative?

No, the Current Density from Cathode to Anode, measured in Surface Current Density cannot be negative.

Which unit is used to measure Current Density from Cathode to Anode?

Current Density from Cathode to Anode 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 Current Density from Cathode to Anode can be measured.

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Current Density from Cathode to Anode Formula

Current Density from Cathode to Anode Example

Current Density from Cathode to Anode Solution

Current Density from Cathode to Anode Formula Elements

Other formulas in Thermal Power Plant category

How to Evaluate Current Density from Cathode to Anode?

FAQs on Current Density from Cathode to Anode

Variable Name