Depletion Region Width Calculator

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✖PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor.ⓘ PN Junction Length [L_pn]			+10% -10%
✖Effective Channel Length is defined as the path that links the charge carriers between the drain and the source.ⓘ Effective Channel Length [L_eff]			+10% -10%

✖Depletion Region Width in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias.ⓘ Depletion Region Width [L_d]

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Formula

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Depletion Region Width

Formula

`"L"_{"d"} = "L"_{"pn"}-"L"_{"eff"}`

Example

`"11mm"="19mm"-"8mm"`

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Depletion Region Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depletion Region Width = PN Junction Length-Effective Channel Length
L_d = L_pn-L_eff
This formula uses 3 Variables

Variables Used

Depletion Region Width - (Measured in Meter) - Depletion Region Width in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias.
PN Junction Length - (Measured in Meter) - PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor.
Effective Channel Length - (Measured in Meter) - Effective Channel Length is defined as the path that links the charge carriers between the drain and the source.

STEP 1: Convert Input(s) to Base Unit

PN Junction Length: 19 Millimeter --> 0.019 Meter (Check conversion here)
Effective Channel Length: 8 Millimeter --> 0.008 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_d = L_pn-L_eff --> 0.019-0.008

Evaluating ... ...

L_d = 0.011

STEP 3: Convert Result to Output's Unit

0.011 Meter -->11 Millimeter (Check conversion here)

FINAL ANSWER

11 Millimeter <-- Depletion Region Width

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 15 CMOS Circuit Characteristics Calculators

Effective Capacitance in CMOS

Go Effective Capacitance in CMOS = Duty Cycle*(Off Current*(10^(Base Collector Voltage)))/(Gates on Critical Path*[BoltZ]*Base Collector Voltage)

Permittivity of Oxide Layer

Go Permittivity of Oxide Layer = Oxide Layer Thickness*Input Gate Capacitance/(Gate Width*Length of Gate)

Oxide Layer Thickness

Go Oxide Layer Thickness = Permittivity of Oxide Layer*Gate Width*Length of Gate/Input Gate Capacitance

Width of Gate

Go Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate)

Sidewall Perimeter of Source Diffusion

Go Sidewall Perimeter of Source Diffusion = (2*Transition Width)+(2*Length of Source)

Critical Electric Field

Go Critical Electric Field = (2*Velocity Saturation)/Mobility of Electron

Transition Width of CMOS

Go Transition Width = MOS Gate Overlap Capacitance/MOS Gate Capacitance

Effective Channel Length

Go Effective Channel Length = PN Junction Length-Depletion Region Width

Depletion Region Width

Go Depletion Region Width = PN Junction Length-Effective Channel Length

PN Junction Length

Go PN Junction Length = Depletion Region Width+Effective Channel Length

Voltage at Minimum EDP

Go Voltage at Minimum EDP = (3*Threshold Voltage)/(3-Activity Factor)

CMOS Critical Voltage

Go Critical Voltage in CMOS = Critical Electric Field*Mean Free Path

CMOS Mean Free Path

Go Mean Free Path = Critical Voltage in CMOS/Critical Electric Field

Width of Source Diffusion

Go Transition Width = Area of Source Diffusion/Length of Source

Area of Source Diffusion

Go Area of Source Diffusion = Length of Source*Transition Width

Depletion Region Width Formula

Depletion Region Width = PN Junction Length-Effective Channel Length
L_d = L_pn-L_eff

What is the importance of channel length modulation?

Channel length modulation (CLM) is a technique used in digital communication systems to adjust the length of a communication channel to suit the bit rate of the signal being transmitted. CLM can help improve the signal-to-noise ratio and increase the data transmission rate, making it a crucial aspect of digital communication.

How to Calculate Depletion Region Width?

Depletion Region Width calculator uses Depletion Region Width = PN Junction Length-Effective Channel Length to calculate the Depletion Region Width, The Depletion region Width formula is defined as the physical width of the depletion region in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias. Depletion Region Width is denoted by L_d symbol.

How to calculate Depletion Region Width using this online calculator? To use this online calculator for Depletion Region Width, enter PN Junction Length (L_pn) & Effective Channel Length (L_eff) and hit the calculate button. Here is how the Depletion Region Width calculation can be explained with given input values -> 1.1E+7 = 1.9E-05-8E-06.

FAQ

What is Depletion Region Width?

The Depletion region Width formula is defined as the physical width of the depletion region in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias and is represented as L_d = L_pn-L_eff or Depletion Region Width = PN Junction Length-Effective Channel Length. PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor & Effective Channel Length is defined as the path that links the charge carriers between the drain and the source.

How to calculate Depletion Region Width?

The Depletion region Width formula is defined as the physical width of the depletion region in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias is calculated using Depletion Region Width = PN Junction Length-Effective Channel Length. To calculate Depletion Region Width, you need PN Junction Length (L_pn) & Effective Channel Length (L_eff). With our tool, you need to enter the respective value for PN Junction Length & Effective Channel Length 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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