Majority Carrier Concentration in Semiconductor Calculator

✖Intrinsic Carrier Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material.ⓘ Intrinsic Carrier Concentration [n_i]			+10% -10%
✖Minority Carrier Concentration is the number of carriers in the valence band with no externally applied bias.ⓘ Minority Carrier Concentration [p₀]			+10% -10%

✖Majority Carrier Concentration is the number of carriers in the conduction band with no externally applied bias.ⓘ Majority Carrier Concentration in Semiconductor [n₀]

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Majority Carrier Concentration in Semiconductor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
n₀ = n_i^2/p₀
This formula uses 3 Variables

Variables Used

Majority Carrier Concentration - (Measured in 1 per Cubic Meter) - Majority Carrier Concentration is the number of carriers in the conduction band with no externally applied bias.
Intrinsic Carrier Concentration - (Measured in 1 per Cubic Meter) - Intrinsic Carrier Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material.
Minority Carrier Concentration - (Measured in 1 per Cubic Meter) - Minority Carrier Concentration is the number of carriers in the valence band with no externally applied bias.

STEP 1: Convert Input(s) to Base Unit

Intrinsic Carrier Concentration: 120000000 1 per Cubic Meter --> 120000000 1 per Cubic Meter No Conversion Required
Minority Carrier Concentration: 91000000 1 per Cubic Meter --> 91000000 1 per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₀ = n_i^2/p₀ --> 120000000^2/91000000

Evaluating ... ...

n₀ = 158241758.241758

STEP 3: Convert Result to Output's Unit

158241758.241758 1 per Cubic Meter --> No Conversion Required

FINAL ANSWER

158241758.241758 ≈ 1.6E+8 1 per Cubic Meter <-- Majority Carrier Concentration

(Calculation completed in 00.004 seconds)

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< Semiconductor Characteristics Calculators

Conductivity in Semiconductors

LaTeX Go Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes)

Electron Diffusion Length

LaTeX Go Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)

Fermi Level of Intrinsic Semiconductors

LaTeX Go Fermi Level Intrinsic Semiconductor = (Conduction Band Energy+Valance Band Energy)/2

Mobility of Charge Carriers

LaTeX Go Charge Carriers Mobility = Drift Speed/Electric Field Intensity

Majority Carrier Concentration in Semiconductor Formula

LaTeX Go

Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
n₀ = n_i^2/p₀

What is a mass action law?

In a semiconductor under thermal equilibrium ( at constant temperature ) the product of holes and electrons is always constant and equal to the square of the intrinsic semiconductor.

How to Calculate Majority Carrier Concentration in Semiconductor?

Majority Carrier Concentration in Semiconductor calculator uses Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration to calculate the Majority Carrier Concentration, Majority Carrier Concentration in Semiconductor is defined as the equilibrium carrier concentration which is equal to the intrinsic carrier concentration plus the number of free carriers added by doping the semiconductor. Majority Carrier Concentration is denoted by n₀ symbol.

How to calculate Majority Carrier Concentration in Semiconductor using this online calculator? To use this online calculator for Majority Carrier Concentration in Semiconductor, enter Intrinsic Carrier Concentration (n_i) & Minority Carrier Concentration (p₀) and hit the calculate button. Here is how the Majority Carrier Concentration in Semiconductor calculation can be explained with given input values -> 109.8901 = 120000000^2/91000000.

FAQ

What is Majority Carrier Concentration in Semiconductor?

Majority Carrier Concentration in Semiconductor is defined as the equilibrium carrier concentration which is equal to the intrinsic carrier concentration plus the number of free carriers added by doping the semiconductor and is represented as n₀ = n_i^2/p₀ or Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority 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 & Minority Carrier Concentration is the number of carriers in the valence band with no externally applied bias.

How to calculate Majority Carrier Concentration in Semiconductor?

Majority Carrier Concentration in Semiconductor is defined as the equilibrium carrier concentration which is equal to the intrinsic carrier concentration plus the number of free carriers added by doping the semiconductor is calculated using Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration. To calculate Majority Carrier Concentration in Semiconductor, you need Intrinsic Carrier Concentration (n_i) & Minority Carrier Concentration (p₀). With our tool, you need to enter the respective value for Intrinsic Carrier Concentration & Minority Carrier Concentration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Majority Carrier Concentration?

In this formula, Majority Carrier Concentration uses Intrinsic Carrier Concentration & Minority Carrier Concentration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration

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