Effective Channel Length Calculator

✖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%
✖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]			+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]

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Effective Channel Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

PN Junction Length: 19 Millimeter --> 0.019 Meter (Check conversion here)
Depletion Region Width: 11.01 Millimeter --> 0.01101 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = L_pn-L_d --> 0.019-0.01101

Evaluating ... ...

L_eff = 0.00799

STEP 3: Convert Result to Output's Unit

0.00799 Meter -->7.99 Millimeter (Check conversion here)

FINAL ANSWER

7.99 Millimeter <-- Effective Channel Length

(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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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Effective Channel Length Formula

LaTeX Go

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

What is the significance of channel length?

Ideally, Ids is independent of Vds for a transistor in saturation, making
the transistor a perfect current source. the p–n junction between the drain and body forms a depletion region with a width Ld that increases with Vdb, thus the depletion region effectively shortens the channel length.

How to Calculate Effective Channel Length?

Effective Channel Length calculator uses Effective Channel Length = PN Junction Length-Depletion Region Width to calculate the Effective Channel Length, The Effective Channel Length formula is defined as is the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close. Effective Channel Length is denoted by L_eff symbol.

How to calculate Effective Channel Length using this online calculator? To use this online calculator for Effective Channel Length, enter PN Junction Length (L_pn) & Depletion Region Width (L_d) and hit the calculate button. Here is how the Effective Channel Length calculation can be explained with given input values -> 1.1E+7 = 1.9E-05-1.101E-05.

FAQ

What is Effective Channel Length?

The Effective Channel Length formula is defined as is the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close and is represented as L_eff = L_pn-L_d or Effective Channel Length = PN Junction Length-Depletion Region Width. PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor & 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.

How to calculate Effective Channel Length?

The Effective Channel Length formula is defined as is the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close is calculated using Effective Channel Length = PN Junction Length-Depletion Region Width. To calculate Effective Channel Length, you need PN Junction Length (L_pn) & Depletion Region Width (L_d). With our tool, you need to enter the respective value for PN Junction Length & Depletion Region Width 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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