Saturation Current using Doping Concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Saturation Current = (Cross-section Area of Base-Emitter Junction*[Charge-e]*Electron Diffusivity*(Intrinsic Carrier Concentration)^2)/(Width of Base Junction*Doping Concentration of Base)
Isat = (AE*[Charge-e]*Dn*(ni1)^2)/(Wbase*NB)
This formula uses 1 Constants, 6 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
Variables Used
Saturation Current - (Measured in Ampere) - Saturation Current is the diode leakage current density in the absence of light. It is an important parameter which differentiates one diode from another.
Cross-section Area of Base-Emitter Junction - (Measured in Square Meter) - The Cross-section area of base-emitter junction is the width in the direction perpendicular to the page.
Electron Diffusivity - (Measured in Square Meter Per Second) - Electron Diffusivity is the diffusion current is a current in a semiconductor caused by the diffusion of charge carriers (holes and/or electrons).
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.
Width of Base Junction - (Measured in Meter) - Width of Base junction is the parameter which signifies how wide is the base junction of any analog electronics element.
Doping Concentration of Base - (Measured in 1 per Cubic Meter) - The Doping concentration of Base is the number of impurities added to the base.
STEP 1: Convert Input(s) to Base Unit
Cross-section Area of Base-Emitter Junction: 8 Square Centimeter --> 0.0008 Square Meter (Check conversion ​here)
Electron Diffusivity: 0.8 Square Centimeter Per Second --> 8E-05 Square Meter Per Second (Check conversion ​here)
Intrinsic Carrier Concentration: 100000 1 per Cubic Meter --> 100000 1 per Cubic Meter No Conversion Required
Width of Base Junction: 0.002 Meter --> 0.002 Meter No Conversion Required
Doping Concentration of Base: 19 1 per Cubic Meter --> 19 1 per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Isat = (AE*[Charge-e]*Dn*(ni1)^2)/(Wbase*NB) --> (0.0008*[Charge-e]*8E-05*(100000)^2)/(0.002*19)
Evaluating ... ...
Isat = 2.69840272842105E-15
STEP 3: Convert Result to Output's Unit
2.69840272842105E-15 Ampere -->2.69840272842105E-12 Milliampere (Check conversion ​here)
FINAL ANSWER
2.69840272842105E-12 2.7E-12 Milliampere <-- Saturation Current
(Calculation completed in 00.004 seconds)

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Base Current Calculators

Base Current using Saturation Current in DC
​ LaTeX ​ Go Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage)
Drain Current given Device Parameter
​ LaTeX ​ Go Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source)
Base Current 2 of BJT
​ LaTeX ​ Go Base Current = (Saturation Current/Common Emitter Current Gain)*(e^(Base-Emitter Voltage/Thermal Voltage))
Base Current 1 of BJT
​ LaTeX ​ Go Base Current = Collector Current/Common Emitter Current Gain

Saturation Current using Doping Concentration Formula

​LaTeX ​Go
Saturation Current = (Cross-section Area of Base-Emitter Junction*[Charge-e]*Electron Diffusivity*(Intrinsic Carrier Concentration)^2)/(Width of Base Junction*Doping Concentration of Base)
Isat = (AE*[Charge-e]*Dn*(ni1)^2)/(Wbase*NB)

What is saturation current in transistor?

The transistor will be biased so that the maximum amount of base current is applied, resulting in maximum collector current resulting in the minimum collector-emitter voltage drop which results in the depletion layer being as small as possible and maximum current flowing through the transistor. Therefore the transistor is switched “Fully-ON”.Then we can define the “saturation region” or “ON mode” when using a bipolar transistor as a switch as being, both junctions forward biased, VB > 0.7v and IC = Maximum. For a PNP transistor, the Emitter potential must be positive with respect to the Base.

How to Calculate Saturation Current using Doping Concentration?

Saturation Current using Doping Concentration calculator uses Saturation Current = (Cross-section Area of Base-Emitter Junction*[Charge-e]*Electron Diffusivity*(Intrinsic Carrier Concentration)^2)/(Width of Base Junction*Doping Concentration of Base) to calculate the Saturation Current, The Saturation current using doping concentration is the point where a further increase in base current will not result in a corresponding increase in collector current. Saturation Current is denoted by Isat symbol.

How to calculate Saturation Current using Doping Concentration using this online calculator? To use this online calculator for Saturation Current using Doping Concentration, enter Cross-section Area of Base-Emitter Junction (AE), Electron Diffusivity (Dn), Intrinsic Carrier Concentration (ni1), Width of Base Junction (Wbase) & Doping Concentration of Base (NB) and hit the calculate button. Here is how the Saturation Current using Doping Concentration calculation can be explained with given input values -> 2.7E-9 = (0.0008*[Charge-e]*8E-05*(100000)^2)/(0.002*19).

FAQ

What is Saturation Current using Doping Concentration?
The Saturation current using doping concentration is the point where a further increase in base current will not result in a corresponding increase in collector current and is represented as Isat = (AE*[Charge-e]*Dn*(ni1)^2)/(Wbase*NB) or Saturation Current = (Cross-section Area of Base-Emitter Junction*[Charge-e]*Electron Diffusivity*(Intrinsic Carrier Concentration)^2)/(Width of Base Junction*Doping Concentration of Base). The Cross-section area of base-emitter junction is the width in the direction perpendicular to the page, Electron Diffusivity is the diffusion current is a current in a semiconductor caused by the diffusion of charge carriers (holes and/or electrons), Intrinsic Carrier Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material, Width of Base junction is the parameter which signifies how wide is the base junction of any analog electronics element & The Doping concentration of Base is the number of impurities added to the base.
How to calculate Saturation Current using Doping Concentration?
The Saturation current using doping concentration is the point where a further increase in base current will not result in a corresponding increase in collector current is calculated using Saturation Current = (Cross-section Area of Base-Emitter Junction*[Charge-e]*Electron Diffusivity*(Intrinsic Carrier Concentration)^2)/(Width of Base Junction*Doping Concentration of Base). To calculate Saturation Current using Doping Concentration, you need Cross-section Area of Base-Emitter Junction (AE), Electron Diffusivity (Dn), Intrinsic Carrier Concentration (ni1), Width of Base Junction (Wbase) & Doping Concentration of Base (NB). With our tool, you need to enter the respective value for Cross-section Area of Base-Emitter Junction, Electron Diffusivity, Intrinsic Carrier Concentration, Width of Base Junction & Doping Concentration of Base 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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