Minimum Energy required by Electron to Leave Cathode Calculator

✖Cathode Current Density is a measure of the flow of electric charge through a given area of a conductor from Cathode.ⓘ Cathode Current Density [J_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%

✖Net energy refers to the amount of usable energy obtained from a particular energy source after deducting the energy required to extract, process, and deliver that energy.ⓘ Minimum Energy required by Electron to Leave Cathode [Q]

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Minimum Energy required by Electron to Leave Cathode

Formula

`"Q" = "J"_{"c"}*"V"_{"c"}`

Example

`"0.5875W/cm²"="0.47A/cm²"*"1.25V"`

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Minimum Energy required by Electron to Leave Cathode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Energy = Cathode Current Density*Cathode Voltage
Q = J_c*V_c
This formula uses 3 Variables

Variables Used

Net Energy - (Measured in Watt per Square Meter) - Net energy refers to the amount of usable energy obtained from a particular energy source after deducting the energy required to extract, process, and deliver that energy.
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 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

Cathode Current Density: 0.47 Ampere per Square Centimeter --> 4700 Ampere per Square Meter (Check conversion here)
Cathode Voltage: 1.25 Volt --> 1.25 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = J_c*V_c --> 4700*1.25

Evaluating ... ...

Q = 5875

STEP 3: Convert Result to Output's Unit

5875 Watt per Square Meter -->0.5875 Watt per Square Centimeter (Check conversion here)

FINAL ANSWER

0.5875 Watt per Square Centimeter <-- Net Energy

(Calculation completed in 00.004 seconds)

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Created by Nisarg

Indian Institute of Technology,Roorlee (IITR), Roorkee

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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

Minimum Energy required by Electron to Leave Cathode Formula

Net Energy = Cathode Current Density*Cathode Voltage
Q = J_c*V_c

What is the maximum power output of thermionic generator?

A single TEG generates power from 1 to 125 W. The use of more TEGs in a modular connection may increase the power up to 5 kW and Δ T max could be bigger than 70°C. Heat source , for example, a heat pipe system (the TEG devices and the heat pipe system can be used together in waste heat recovery systems).

How to Calculate Minimum Energy required by Electron to Leave Cathode?

Minimum Energy required by Electron to Leave Cathode calculator uses Net Energy = Cathode Current Density*Cathode Voltage to calculate the Net Energy, The Minimum Energy required by Electron to Leave Cathode formula is defined as the energy required to leave the cathode. Net Energy is denoted by Q symbol.

How to calculate Minimum Energy required by Electron to Leave Cathode using this online calculator? To use this online calculator for Minimum Energy required by Electron to Leave Cathode, enter Cathode Current Density (J_c) & Cathode Voltage (V_c) and hit the calculate button. Here is how the Minimum Energy required by Electron to Leave Cathode calculation can be explained with given input values -> 5.9E-5 = 4700*1.25.

FAQ

What is Minimum Energy required by Electron to Leave Cathode?

The Minimum Energy required by Electron to Leave Cathode formula is defined as the energy required to leave the cathode and is represented as Q = J_c*V_c or Net Energy = Cathode Current Density*Cathode Voltage. Cathode Current Density is a measure of the flow of electric charge through a given area of a conductor from 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 Minimum Energy required by Electron to Leave Cathode?

The Minimum Energy required by Electron to Leave Cathode formula is defined as the energy required to leave the cathode is calculated using Net Energy = Cathode Current Density*Cathode Voltage. To calculate Minimum Energy required by Electron to Leave Cathode, you need Cathode Current Density (J_c) & Cathode Voltage (V_c). With our tool, you need to enter the respective value for Cathode Current Density & 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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