Net Kinetic Energy of Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e])
Qe = Jc*((2*[BoltZ]*Tc)/[Charge-e])
This formula uses 2 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Variables Used
Electron Net Energy - (Measured in Watt per Square Meter) - Electron Net Energy is the total energy possessed by Electron.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Cathode Current Density: 0.47 Ampere per Square Centimeter --> 4700 Ampere per Square Meter (Check conversion here)
Cathode Temperature: 1350 Kelvin --> 1350 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qe = Jc*((2*[BoltZ]*Tc)/[Charge-e]) --> 4700*((2*[BoltZ]*1350)/[Charge-e])
Evaluating ... ...
Qe = 1093.53922033889
STEP 3: Convert Result to Output's Unit
1093.53922033889 Watt per Square Meter -->0.109353922033889 Watt per Square Centimeter (Check conversion here)
FINAL ANSWER
0.109353922033889 0.109354 Watt per Square Centimeter <-- Electron Net Energy
(Calculation completed in 00.020 seconds)

Credits

Created by Nisarg
Indian Institute of Technology,Roorlee (IITR), Roorkee
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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12 Thermal Power Plant Calculators

Current Density from Cathode to Anode
Go Cathode Current Density = Emission Constant*Cathode Temperature^2*exp(-([Charge-e]*Cathode Voltage)/([BoltZ]*Cathode Temperature))
Maximum Electron Current per Unit Area
Go Current Density = Emission Constant*Temperature^2*exp(-Work Function/([BoltZ]*Temperature))
Net Kinetic Energy of Electron
Go Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e])
Output Voltage given Fermi Energy Levels
Go Output Voltage = (Anode Fermi Energy Level-Cathode Fermi Energy Level)/[Charge-e]
Power Output from Generator
Go Power Output = Output Voltage*(Cathode Current Density-Anode Current Density)
Consumption of Coal per Hour
Go Consumption of Coal per Hour = Heat Input per Hour/Calorific Value of Coal
Overall Efficiency of Power Station
Go Overall Efficiency = Thermal Efficiency*Electrical Efficiency
Thermal Efficiency of Power Station
Go Thermal Efficiency = Overall Efficiency/Electrical Efficiency
Output Voltage given Anode and Cathode Work Functions
Go Output Voltage = Cathode Work Function-Anode Work Function
Rankine Cycle Efficiency
Go Rankine Cycle Efficiency = Net Work Output/Heat Supplied
Minimum Energy required by Electron to Leave Cathode
Go Net Energy = Cathode Current Density*Cathode Voltage
Output Voltage given Anode and Cathode Voltages
Go Output Voltage = Cathode Voltage-Anode Voltage

Net Kinetic Energy of Electron Formula

Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e])
Qe = Jc*((2*[BoltZ]*Tc)/[Charge-e])

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 Net Kinetic Energy of Electron?

Net Kinetic Energy of Electron calculator uses Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e]) to calculate the Electron Net Energy, The Net Kinetic Energy of Electron formula is defined as the total amount of energy that an electron possesses as a result of its motion. It is equal to the difference between the electron's kinetic energy and its potential energy. Electron Net Energy is denoted by Qe symbol.

How to calculate Net Kinetic Energy of Electron using this online calculator? To use this online calculator for Net Kinetic Energy of Electron, enter Cathode Current Density (Jc) & Cathode Temperature (Tc) and hit the calculate button. Here is how the Net Kinetic Energy of Electron calculation can be explained with given input values -> 1.1E-5 = 4700*((2*[BoltZ]*1350)/[Charge-e]).

FAQ

What is Net Kinetic Energy of Electron?
The Net Kinetic Energy of Electron formula is defined as the total amount of energy that an electron possesses as a result of its motion. It is equal to the difference between the electron's kinetic energy and its potential energy and is represented as Qe = Jc*((2*[BoltZ]*Tc)/[Charge-e]) or Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e]). Cathode Current Density is a measure of the flow of electric charge through a given area of a conductor from Cathode & 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.
How to calculate Net Kinetic Energy of Electron?
The Net Kinetic Energy of Electron formula is defined as the total amount of energy that an electron possesses as a result of its motion. It is equal to the difference between the electron's kinetic energy and its potential energy is calculated using Electron Net Energy = Cathode Current Density*((2*[BoltZ]*Cathode Temperature)/[Charge-e]). To calculate Net Kinetic Energy of Electron, you need Cathode Current Density (Jc) & Cathode Temperature (Tc). With our tool, you need to enter the respective value for Cathode Current Density & Cathode Temperature 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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