## 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))
Jc = A*Tc^2*exp(-([Charge-e]*Vc)/([BoltZ]*Tc))
This formula uses 3 Constants, 1 Functions, 4 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19 Coulomb
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23 Joule/Kelvin
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, 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.
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.
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
Jc = A*Tc^2*exp(-([Charge-e]*Vc)/([BoltZ]*Tc)) --> 120*1350^2*exp(-([Charge-e]*1.25)/([BoltZ]*1350))
Evaluating ... ...
Jc = 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)
0.471396027911451 0.471396 Ampere per Square Centimeter <-- Cathode Current Density
(Calculation completed in 00.004 seconds)
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Indian Institute of Technology,Roorlee (IITR), Roorkee
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## < 9 Thermal Power Plant Calculators

Net Rate of Energy Supply to Cathode
Cathode Net Energy = Cathode Current Density*(Cathode Voltage+(2*[BoltZ]*Cathode Temperature)/[Charge-e])-Anode Current Density*(Anode Voltage+(2*[BoltZ]*Anode Temperature)/[Charge-e])
Current Density from Cathode to Anode
Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature))
Maximum Electron Current per Unit Area
Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature))
Net Kinetic Energy of Electron
Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e])
Output Voltage given Fermi Energy Levels
Output Voltage = (Anode Fermi Energy Level-Cathode Fermi Energy Level)/[Charge-e]
Power Output from Generator
Power Output = Output Voltage*(Cathode Current Density-Anode Current Density)
Output Voltage given Anode and Cathode Work Functions
Output Voltage = Cathode Work Function-Anode Work Function
Minimum Energy Required by Electron to Leave Cathode
Net Energy = Cathode Current Density*Cathode Voltage
Output Voltage given Anode and Cathode Voltages
Output Voltage = Cathode Voltage-Anode Voltage

## Current Density from Cathode to Anode Formula

Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature))
Jc = A*Tc^2*exp(-([Charge-e]*Vc)/([BoltZ]*Tc))

## 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 Jc 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 (Tc) & Cathode Voltage (Vc) and hit the calculate button. Here is how the Current Density from Cathode to Anode calculation can be explained with given input values -> 0.471396 = 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 Jc = A*Tc^2*exp(-([Charge-e]*Vc)/([BoltZ]*Tc)) or Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature)). Emission Constant is a constant, 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.
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 (Tc) & Cathode Voltage (Vc). 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. Let Others Know