LCM of three numbers

Current Density from Cathode to Anode Calculator

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✖Emission Constant is a constant. An emission constant is a numerical value or coefficient used in mathematical equations .ⓘ Emission Constant [A]			+10% -10%
✖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.ⓘ Cathode Temperature [T_c]			+10% -10%
✖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.ⓘ Cathode Voltage [V_c]			+10% -10%

✖Cathode Current Density is a measure of the flow of electric charge through a given area of a conductor from Cathode.ⓘ Current Density from Cathode to Anode [J_c]

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Current Density from Cathode to Anode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature))
J_c = A*T_c^2*exp(-([Charge-e]*V_c)/([BoltZ]*T_c))
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

Cathode Current Density - (Measured in Ampere per Square Meter) - Cathode Current Density is a measure of the flow of electric charge through a given area of a conductor from Cathode.
Emission Constant - Emission Constant is a constant. An emission constant is a numerical value or coefficient used in mathematical equations .
Cathode Temperature - (Measured in Kelvin) - 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.
Cathode Voltage - (Measured in Volt) - 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.

STEP 1: Convert Input(s) to Base Unit

Emission Constant: 120 --> No Conversion Required
Cathode Temperature: 1350 Kelvin --> 1350 Kelvin No Conversion Required
Cathode Voltage: 1.25 Volt --> 1.25 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J_c = A*T_c^2*exp(-([Charge-e]*V_c)/([BoltZ]*T_c)) --> 120*1350^2*exp(-([Charge-e]*1.25)/([BoltZ]*1350))

Evaluating ... ...

J_c = 4713.96027911451

STEP 3: Convert Result to Output's Unit

4713.96027911451 Ampere per Square Meter -->0.471396027911451 Ampere per Square Centimeter (Check conversion here)

FINAL ANSWER

0.471396027911451 ≈ 0.471396 Ampere per Square Centimeter <-- Cathode Current Density

(Calculation completed in 00.020 seconds)

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Current Density from Cathode to Anode

LaTeX Go Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature))

Maximum Electron Current per Unit Area

LaTeX Go Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature))

Output Voltage given Anode and Cathode Work Functions

LaTeX Go Output Voltage = Cathode Work Function-Anode Work Function

Output Voltage given Anode and Cathode Voltages

LaTeX Go Output Voltage = Cathode Voltage-Anode Voltage

Current Density from Cathode to Anode Formula

LaTeX Go

Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature))
J_c = A*T_c^2*exp(-([Charge-e]*V_c)/([BoltZ]*T_c))

What is Thermionic Power Generation?

Thermionic power generation is a method of producing electricity by converting heat energy directly into electrical energy through the use of thermionic emission. It is based on the phenomenon of electrons being emitted from a heated surface or filament when it is subjected to a sufficiently high temperature.

How to Calculate Current Density from Cathode to Anode?

Current Density from Cathode to Anode calculator uses Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)) to calculate 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 calculate Current Density from Cathode to Anode using this online calculator? To use this online calculator for Current Density from Cathode to Anode, enter Emission Constant (A), Cathode Temperature (T_c) & Cathode Voltage (V_c) and hit the calculate button. Here is how the Current Density from Cathode to Anode calculation can be explained with given input values -> 4.7E-5 = 120*1350^2*exp(-([Charge-e]*1.25)/([BoltZ]*1350)).

FAQ

What is Current Density from Cathode to Anode?

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 and is represented as J_c = A*T_c^2*exp(-([Charge-e]*V_c)/([BoltZ]*T_c)) or Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)). Emission Constant is a constant. An emission constant is a numerical value or coefficient used in mathematical equations , 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 & 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.

How to calculate Current Density from Cathode to Anode?

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 is calculated using Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)). To calculate Current Density from Cathode to Anode, you need Emission Constant (A), Cathode Temperature (T_c) & Cathode Voltage (V_c). With our tool, you need to enter the respective value for Emission Constant, Cathode Temperature & Cathode Voltage 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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