Majority Carrier Concentration in Semiconductor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
n0 = ni^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 = ni^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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13 Semiconductor Characteristics Calculators

Conductivity in Semiconductors
Go Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes)
Fermi Dirac Distribution Function
Go Fermi Dirac Distribution Function = 1/(1+e^((Fermi Level Energy-Fermi Level Energy)/([BoltZ]*Temperature)))
Conductivity of Extrinsic Semiconductors for N-type
Go Conductivity of Extrinsic Semiconductors (n-type) = Donor Concentration*[Charge-e]*Mobility of Electron
Conductivity of Extrinsic Semiconductor for P-Type
Go Conductivity of Extrinsic Semiconductors (p-type) = Acceptor Concentration*[Charge-e]*Mobility of Holes
Electron Diffusion Length
Go Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)
Energy Band Gap
Go Energy Band Gap = Energy Band Gap at 0K-(Temperature*Material Specific Constant)
Majority Carrier Concentration in Semiconductor for p-type
Go Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
Majority Carrier Concentration in Semiconductor
Go Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
Fermi Level of Intrinsic Semiconductors
Go Fermi Level Intrinsic Semiconductor = (Conduction Band Energy+Valance Band Energy)/2
Drift Current Density
Go Drift Current Density = Holes Current Density+Electron Current Density
Mobility of Charge Carriers
Go Charge Carriers Mobility = Drift Speed/Electric Field Intensity
Saturation Voltage using Threshold Voltage
Go Saturation Voltage = Gate Source Voltage-Threshold Voltage
Electric Field due to Hall Voltage
Go Hall Electric Field = Hall Voltage/Conductor Width

Majority Carrier Concentration in Semiconductor Formula

Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
n0 = ni^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 (ni) & 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 = ni^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 (ni) & 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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