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Intrinsic Carrier Concentration under Non-Equilibrium Conditions Formula

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Intrinsic Carrier Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material. Check FAQs

n i = \sqrt{n 0 \cdot p 0}

n_i - Intrinsic Carrier Concentration?n₀ - Majority Carrier Concentration?p₀ - Minority Carrier Concentration?

Intrinsic Carrier Concentration under Non-Equilibrium Conditions Example

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Here is how the Intrinsic Carrier Concentration under Non-Equilibrium Conditions equation looks like with Values.

Here is how the Intrinsic Carrier Concentration under Non-Equilibrium Conditions equation looks like with Units.

Here is how the Intrinsic Carrier Concentration under Non-Equilibrium Conditions equation looks like.

1E+8 = \sqrt{1.1E+8 \cdot 9.1E+7}

1E+81/m³ = \sqrt{1.1E+81/m³ \cdot 9.1E+71/m³}

1E+8 = \sqrt{1.1E+8 \cdot 9.1E+7}

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Intrinsic Carrier Concentration under Non-Equilibrium Conditions Solution

Follow our step by step solution on how to calculate Intrinsic Carrier Concentration under Non-Equilibrium Conditions?

FIRST Step Consider the formula

n i = \sqrt{n 0 \cdot p 0}

Next Step Substitute values of Variables

∴

n i = \sqrt{1.1E+81/m³ \cdot 9.1E+71/m³}

Next Step Prepare to Evaluate

∴

n i = \sqrt{1.1E+8 \cdot 9.1E+7}

Next Step Evaluate

∴

n i = 100049987.5062461/m³

LAST Step Rounding Answer

∴

n i = 1E+81/m³

Intrinsic Carrier Concentration under Non-Equilibrium Conditions Formula Elements

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Intrinsic Carrier Concentration

Intrinsic Carrier Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material.

Symbol: n_i

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Intrinsic Carrier Concentration

Majority Carrier Concentration

Majority Carrier Concentration is the number of carriers in the conduction band with no externally applied bias.

Symbol: n₀

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value can be positive or negative.

Formulas to find Majority Carrier Concentration

Minority Carrier Concentration

Minority Carrier Concentration is the number of carriers in the valence band with no externally applied bias.

Symbol: p₀

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Minority Carrier Concentration

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Intrinsic Carrier Concentration

Go Intrinsic Concentration

n i = \sqrt{N c \cdot N v} \cdot e^{\frac{- E g}{2 \cdot [BoltZ] \cdot T}}

Other formulas in Charge Carrier Characteristics category

Go Electrons Diffusion Constant

D n = μ n \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

Go Hole Diffusion Length

L p = \sqrt{D p \cdot τ p}

Go Current Density due to Electrons

J n = [Charge-e] \cdot N e \cdot μ n \cdot E I

Go Current Density due to Holes

J p = [Charge-e] \cdot N p \cdot μ p \cdot E I

How to Evaluate Intrinsic Carrier Concentration under Non-Equilibrium Conditions?

Intrinsic Carrier Concentration under Non-Equilibrium Conditions evaluator uses Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration) to evaluate the Intrinsic Carrier Concentration, Intrinsic carrier concentration under Non-Equilibrium Conditions is often used in the analysis of semiconductor devices, particularly when considering deviations from thermal equilibrium. It's based on the general concept of quasi-Fermi levels, which are effective energy levels that describe the distribution of electrons and holes in non-equilibrium conditions. Intrinsic Carrier Concentration is denoted by n_i symbol.

How to evaluate Intrinsic Carrier Concentration under Non-Equilibrium Conditions using this online evaluator? To use this online evaluator for Intrinsic Carrier Concentration under Non-Equilibrium Conditions, enter Majority Carrier Concentration (n₀) & Minority Carrier Concentration (p₀) and hit the calculate button.

FAQs on Intrinsic Carrier Concentration under Non-Equilibrium Conditions

What is the formula to find Intrinsic Carrier Concentration under Non-Equilibrium Conditions?

The formula of Intrinsic Carrier Concentration under Non-Equilibrium Conditions is expressed as Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration). Here is an example- 1E+8 = sqrt(110000000*91000000).

How to calculate Intrinsic Carrier Concentration under Non-Equilibrium Conditions?

With Majority Carrier Concentration (n₀) & Minority Carrier Concentration (p₀) we can find Intrinsic Carrier Concentration under Non-Equilibrium Conditions using the formula - Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Intrinsic Carrier Concentration?

Here are the different ways to Calculate Intrinsic Carrier Concentration-

Intrinsic Carrier Concentration=sqrt(Effective Density in Valence Band*Effective Density in Conduction Band)*e^((-Temperature Dependence of Energy Band Gap)/(2*[BoltZ]*Temperature))

Can the Intrinsic Carrier Concentration under Non-Equilibrium Conditions be negative?

No, the Intrinsic Carrier Concentration under Non-Equilibrium Conditions, measured in Carrier Concentration cannot be negative.

Which unit is used to measure Intrinsic Carrier Concentration under Non-Equilibrium Conditions?

Intrinsic Carrier Concentration under Non-Equilibrium Conditions is usually measured using the 1 per Cubic Meter[1/m³] for Carrier Concentration. 1 per Cubic Centimeter[1/m³], per Liter[1/m³] are the few other units in which Intrinsic Carrier Concentration under Non-Equilibrium Conditions can be measured.

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Intrinsic Carrier Concentration under Non-Equilibrium Conditions Formula

​GoIntrinsic Concentration Formula

Intrinsic Carrier Concentration under Non-Equilibrium Conditions Example

Intrinsic Carrier Concentration under Non-Equilibrium Conditions Solution

Intrinsic Carrier Concentration under Non-Equilibrium Conditions Formula Elements

Other Formulas to find Intrinsic Carrier Concentration

Other formulas in Charge Carrier Characteristics category

How to Evaluate Intrinsic Carrier Concentration under Non-Equilibrium Conditions?

FAQs on Intrinsic Carrier Concentration under Non-Equilibrium Conditions

Variable Name

GoIntrinsic Concentration Formula