## Fermi Potential for N Type Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration)
ΦFn = ([BoltZ]*Ta)/[Charge-e]*ln(Nd/ni)
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
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Fermi Potential for N Type - (Measured in Volt) - Fermi Potential for N Type is a key parameter that describes the energy level at which the probability of finding an electron is 0.5.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature is a measure of the thermal energy in a system and is measured in kelvins.
Donor Dopant Concentration - (Measured in Electrons per Cubic Meter) - Donor Dopant Concentration is the concentration of donor atoms per unit volume.
Intrinsic Carrier Concentration - (Measured in Electrons per Cubic Meter) - Intrinsic Carrier Concentration is a fundamental property of a semiconductor material and represents the concentration of thermally generated charge carriers in the absence of any external influences.
STEP 1: Convert Input(s) to Base Unit
Absolute Temperature: 24.5 Kelvin --> 24.5 Kelvin No Conversion Required
Donor Dopant Concentration: 1.7E+23 Electrons per Cubic Meter --> 1.7E+23 Electrons per Cubic Meter No Conversion Required
Intrinsic Carrier Concentration: 3000000 Electrons per Cubic Meter --> 3000000 Electrons per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΦFn = ([BoltZ]*Ta)/[Charge-e]*ln(Nd/ni) --> ([BoltZ]*24.5)/[Charge-e]*ln(1.7E+23/3000000)
Evaluating ... ...
ΦFn = 0.081443344057026
STEP 3: Convert Result to Output's Unit
0.081443344057026 Volt --> No Conversion Required
0.081443344057026 0.081443 Volt <-- Fermi Potential for N Type
(Calculation completed in 00.004 seconds)
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## Credits

Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
banuprakash has created this Calculator and 50+ more calculators!
Verified by Dipanjona Mallick
Heritage Insitute of technology (HITK), Kolkata
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## < 20 MOS Transistor Calculators

Sidewall Voltage Equivalence Factor
Sidewall Voltage Equivalence Factor = -(2*sqrt(Built in Potential of Sidewall Junctions)/(Final Voltage-Initial Voltage)*(sqrt(Built in Potential of Sidewall Junctions-Final Voltage)-sqrt(Built in Potential of Sidewall Junctions-Initial Voltage)))
Pull down Current in Linear Region
Linear Region Pull Down Current = sum(x,0,Number of Parallel Driver Transistors,(Electron Mobility*Oxide Capacitance/2)*(Channel Width/Channel Length)*(2*(Gate Source Voltage-Threshold Voltage)*Output Voltage-Output Voltage^2))
Pull down Current in Saturation Region
Saturation Region Pull Down Current = sum(x,0,Number of Parallel Driver Transistors,(Electron Mobility*Oxide Capacitance/2)*(Channel Width/Channel Length)*(Gate Source Voltage-Threshold Voltage)^2)
Saturation Time
Saturation Time = -2*Load Capacitance/(Transconductance Process Parameter*(High Output Voltage-Threshold Voltage)^2)*int(1,x,High Output Voltage,High Output Voltage-Threshold Voltage)
Drain Current Flowing through MOS Transistor
Drain Current = (Channel Width/Channel Length)*Electron Mobility*Oxide Capacitance*int((Gate Source Voltage-x-Threshold Voltage),x,0,Drain Source Voltage)
Time Delay when NMOS Operates in Linear Region
Linear Region in Time Delay = -2*Junction Capacitance*int(1/(Transconductance Process Parameter*(2*(Input Voltage-Threshold Voltage)*x-x^2)),x,Initial Voltage,Final Voltage)
Depletion Region Charge Density
Density of Depletion Layer Charge = (sqrt(2*[Charge-e]*[Permitivity-silicon]*Doping Concentration of Acceptor*modulus(Surface Potential-Bulk Fermi Potential)))
Depth of Depletion Region Associated with Drain
Drain's Depth of Depletion Region = sqrt((2*[Permitivity-silicon]*(Built in Junction Potential+Drain Source Voltage)) /([Charge-e]*Doping Concentration of Acceptor))
Drain Current in Saturation Region in MOS Transistor
Saturation Region Drain Current = Channel Width*Saturation Electron Drift Velocity*int(Charge*Short Channel Parameter,x,0,Effective Channel Length)
Fermi Potential for P Type
Fermi Potential for P Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Intrinsic Carrier Concentration/Doping Concentration of Acceptor)
Maximum Depletion Depth
Maximum Depletion Depth = sqrt((2*[Permitivity-silicon]*modulus(2*Bulk Fermi Potential))/([Charge-e]*Doping Concentration of Acceptor))
Fermi Potential for N Type
Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration)
Equivalent Large Signal Capacitance
Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage)
Built in Potential at Depletion Region
Built in Voltage = -(sqrt(2*[Charge-e]*[Permitivity-silicon]*Doping Concentration of Acceptor*modulus(-2*Bulk Fermi Potential)))
Depth of Depletion Region Associated with Source
Source's Depth of Depletion Region = sqrt((2*[Permitivity-silicon]*Built in Junction Potential)/([Charge-e]*Doping Concentration of Acceptor))
Substrate Bias Coefficient
Substrate Bias Coefficient = sqrt(2*[Charge-e]*[Permitivity-silicon]*Doping Concentration of Acceptor)/Oxide Capacitance
Average Power Dissipated over Period of Time
Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken)
Equivalent Large Signal Junction Capacitance
Equivalent Large Signal Junction Capacitance = Perimeter of Sidewall*Sidewall Junction Capacitance*Sidewall Voltage Equivalence Factor
Work Function in MOSFET
Work Function = Vaccum Level+(Conduction Band Energy Level-Fermi Level)
Zero Bias Sidewall Junction Capacitance per Unit Length
Sidewall Junction Capacitance = Zero Bias Sidewall Junction Potential*Depth of Sidewall

## Fermi Potential for N Type Formula

Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration)
ΦFn = ([BoltZ]*Ta)/[Charge-e]*ln(Nd/ni)

## How does the Fermi potential impact carrier concentration in N-type semiconductors?

The Fermi potential serves as a reference energy level that dictates the distribution of electrons in the conduction band. A higher Fermi potential corresponds to a higher electron concentration in the conduction band.

## How to Calculate Fermi Potential for N Type?

Fermi Potential for N Type calculator uses Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration) to calculate the Fermi Potential for N Type, The Fermi Potential for N Type formula is defined as a key parameter that describes the energy level at which the probability of finding an electron is 0.5. Fermi Potential for N Type is denoted by ΦFn symbol.

How to calculate Fermi Potential for N Type using this online calculator? To use this online calculator for Fermi Potential for N Type, enter Absolute Temperature (Ta), Donor Dopant Concentration (Nd) & Intrinsic Carrier Concentration (ni) and hit the calculate button. Here is how the Fermi Potential for N Type calculation can be explained with given input values -> 0.008144 = ([BoltZ]*24.5)/[Charge-e]*ln(1.7E+23/3000000).

### FAQ

What is Fermi Potential for N Type?
The Fermi Potential for N Type formula is defined as a key parameter that describes the energy level at which the probability of finding an electron is 0.5 and is represented as ΦFn = ([BoltZ]*Ta)/[Charge-e]*ln(Nd/ni) or Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration). Absolute Temperature is a measure of the thermal energy in a system and is measured in kelvins, Donor Dopant Concentration is the concentration of donor atoms per unit volume & Intrinsic Carrier Concentration is a fundamental property of a semiconductor material and represents the concentration of thermally generated charge carriers in the absence of any external influences.
How to calculate Fermi Potential for N Type?
The Fermi Potential for N Type formula is defined as a key parameter that describes the energy level at which the probability of finding an electron is 0.5 is calculated using Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration). To calculate Fermi Potential for N Type, you need Absolute Temperature (Ta), Donor Dopant Concentration (Nd) & Intrinsic Carrier Concentration (ni). With our tool, you need to enter the respective value for Absolute Temperature, Donor Dopant Concentration & Intrinsic Carrier Concentration 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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