## Maximum Electron Current per Unit Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature))
J = A1*T^2*exp(-Φ/([BoltZ]*T))
This formula uses 2 Constants, 1 Functions, 4 Variables
Constants Used
[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
Current Density - (Measured in Ampere per Square Meter) - Current Density is a measure of the flow of electric charge through a given area of a conductor.
Emission Constant - Emission Constant is a constant.
Temperature - (Measured in Kelvin) - Temperature is a physical quantity that describes the level of thermal energy in a system.
Work Function - (Measured in Joule) - Work Function is a measure of the minimum amount of energy needed to remove an electron from a solid surface and set it free.
STEP 1: Convert Input(s) to Base Unit
Emission Constant: 120 --> No Conversion Required
Temperature: 1100 Kelvin --> 1100 Kelvin No Conversion Required
Work Function: 0.8 Electron-Volt --> 1.28174186400001E-19 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
J = A1*T^2*exp(-Φ/([BoltZ]*T)) --> 120*1100^2*exp(-1.28174186400001E-19/([BoltZ]*1100))
Evaluating ... ...
J = 31381.2706241948
STEP 3: Convert Result to Output's Unit
31381.2706241948 Ampere per Square Meter -->3.13812706241948 Ampere per Square Centimeter (Check conversion here)
3.13812706241948 Ampere per Square Centimeter <-- Current Density
(Calculation completed in 00.016 seconds)
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## < 9 Thermal Power Plant Calculators

Net Rate of Energy Supply to Cathode
Net Energy Cathode = 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 = (1/[Charge-e])*(Anode Fermi Energy Level-Cathode Fermi Energy Level)
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

## Maximum Electron Current per Unit Area Formula

Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature))
J = A1*T^2*exp(-Φ/([BoltZ]*T))

## 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 Maximum Electron Current per Unit Area?

Maximum Electron Current per Unit Area calculator uses Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature)) to calculate 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 calculate Maximum Electron Current per Unit Area using this online calculator? To use this online calculator for Maximum Electron Current per Unit Area, enter Emission Constant (A1), Temperature (T) & Work Function (Φ) and hit the calculate button. Here is how the Maximum Electron Current per Unit Area calculation can be explained with given input values -> 3.138127 = 120*1100^2*exp(-1.28174186400001E-19/([BoltZ]*1100)).

### FAQ

What is Maximum Electron Current per Unit Area?
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 and is represented as J = A1*T^2*exp(-Φ/([BoltZ]*T)) or Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature)). Emission Constant is a constant, Temperature is a physical quantity that describes the level of thermal energy in a system & Work Function is a measure of the minimum amount of energy needed to remove an electron from a solid surface and set it free.
How to calculate Maximum Electron Current per Unit Area?
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 is calculated using Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature)). To calculate Maximum Electron Current per Unit Area, you need Emission Constant (A1), Temperature (T) & Work Function (Φ). With our tool, you need to enter the respective value for Emission Constant, Temperature & Work Function and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know