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Fermi Potential for N Type Formula

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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. Check FAQs

Φ Fn = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{N d}{n i})

Φ_Fn - Fermi Potential for N Type?T_a - Absolute Temperature?N_d - Donor Dopant Concentration?n_i - Intrinsic Carrier Concentration?[BoltZ] - Boltzmann constant?[Charge-e] - Charge of electron?

Fermi Potential for N Type Example

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Here is how the Fermi Potential for N Type equation looks like with Values.

Here is how the Fermi Potential for N Type equation looks like with Units.

Here is how the Fermi Potential for N Type equation looks like.

0.0814 = \frac{1.4E-23 \cdot 24.5}{1.6E-19} \cdot \ln (\frac{1.7E+23}{3E+6})

0.0814V = \frac{1.4E-23J/K \cdot 24.5K}{1.6E-19C} \cdot \ln (\frac{1.7E+23electrons/m³}{3E+6electrons/m³})

0.0814 = \frac{1.4E-23 \cdot 24.5}{1.6E-19} \cdot \ln (\frac{1.7E+23}{3E+6})

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Fermi Potential for N Type Solution

Follow our step by step solution on how to calculate Fermi Potential for N Type?

FIRST Step Consider the formula

Φ Fn = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{N d}{n i})

Next Step Substitute values of Variables

∴

Φ Fn = \frac{[BoltZ] \cdot 24.5K}{[Charge-e]} \cdot \ln (\frac{1.7E+23electrons/m³}{3E+6electrons/m³})

Next Step Substitute values of Constants

∴

Φ Fn = \frac{1.4E-23J/K \cdot 24.5K}{1.6E-19C} \cdot \ln (\frac{1.7E+23electrons/m³}{3E+6electrons/m³})

Next Step Prepare to Evaluate

∴

Φ Fn = \frac{1.4E-23 \cdot 24.5}{1.6E-19} \cdot \ln (\frac{1.7E+23}{3E+6})

Next Step Evaluate

∴

Φ Fn = 0.081443344057026V

LAST Step Rounding Answer

∴

Φ Fn = 0.0814V

Fermi Potential for N Type Formula Elements

Variables

Constants

Functions

Fermi Potential for N Type

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.

Symbol: Φ_Fn

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Fermi Potential for N Type

Absolute Temperature

Absolute Temperature is a measure of the thermal energy in a system and is measured in kelvins.

Symbol: T_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Absolute Temperature

Donor Dopant Concentration

Donor Dopant Concentration is the concentration of donor atoms per unit volume.

Symbol: N_d

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Donor Dopant Concentration

Intrinsic Carrier Concentration

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.

Symbol: n_i

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Intrinsic Carrier Concentration

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

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Go Zero Bias Sidewall Junction Capacitance per Unit Length

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Go Equivalent Large Signal Junction Capacitance

C eq(sw) = P \cdot C jsw \cdot K eq(sw)

Go Fermi Potential for P Type

Φ Fp = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{n i}{N A})

Go Sidewall Voltage Equivalence Factor

K eq(sw) = - (2 \cdot \frac{\sqrt{Φ osw}}{V 2 - V 1} \cdot (\sqrt{Φ osw - V 2} - \sqrt{Φ osw - V 1}))

How to Evaluate Fermi Potential for N Type?

Fermi Potential for N Type evaluator uses Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration) to evaluate 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 Φ_Fn symbol.

How to evaluate Fermi Potential for N Type using this online evaluator? To use this online evaluator for Fermi Potential for N Type, enter Absolute Temperature (T_a), Donor Dopant Concentration (N_d) & Intrinsic Carrier Concentration (n_i) and hit the calculate button.

FAQs on Fermi Potential for N Type

What is the formula to find Fermi Potential for N Type?

The formula of Fermi Potential for N Type is expressed as Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration). Here is an example- 0.008144 = ([BoltZ]*24.5)/[Charge-e]*ln(1.7E+23/3000000).

How to calculate Fermi Potential for N Type?

With Absolute Temperature (T_a), Donor Dopant Concentration (N_d) & Intrinsic Carrier Concentration (n_i) we can find Fermi Potential for N Type using the formula - Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration). This formula also uses Boltzmann constant, Charge of electron constant(s) and Natural Logarithm (ln) function(s).

Can the Fermi Potential for N Type be negative?

No, the Fermi Potential for N Type, measured in Electric Potential cannot be negative.

Which unit is used to measure Fermi Potential for N Type?

Fermi Potential for N Type is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Fermi Potential for N Type can be measured.

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Fermi Potential for N Type Formula

Fermi Potential for N Type Example

Fermi Potential for N Type Solution

Fermi Potential for N Type Formula Elements

Other formulas in MOS Transistor category

How to Evaluate Fermi Potential for N Type?

FAQs on Fermi Potential for N Type

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