CMOS Mean Free Path Calculator

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✖Critical Voltage in CMOS is the minimum phase to the neutral voltage which glows and appears all along the line conductor.ⓘ Critical Voltage in CMOS [V_c]			+10% -10%
✖Critical Electric Field is defined as the electric force per unit charge.ⓘ Critical Electric Field [E_c]			+10% -10%

✖Mean Free Path is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties.ⓘ CMOS Mean Free Path [L]

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CMOS Mean Free Path

Formula

`"L" = "V"_{"c"}/"E"_{"c"}`

Example

`"697.5mm"="2.79V"/"0.004V/mm"`

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CMOS Mean Free Path Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Free Path = Critical Voltage in CMOS/Critical Electric Field
L = V_c/E_c
This formula uses 3 Variables

Variables Used

Mean Free Path - (Measured in Meter) - Mean Free Path is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties.
Critical Voltage in CMOS - (Measured in Volt) - Critical Voltage in CMOS is the minimum phase to the neutral voltage which glows and appears all along the line conductor.
Critical Electric Field - (Measured in Volt per Meter) - Critical Electric Field is defined as the electric force per unit charge.

STEP 1: Convert Input(s) to Base Unit

Critical Voltage in CMOS: 2.79 Volt --> 2.79 Volt No Conversion Required
Critical Electric Field: 0.004 Volt per Millimeter --> 4 Volt per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = V_c/E_c --> 2.79/4

Evaluating ... ...

L = 0.6975

STEP 3: Convert Result to Output's Unit

0.6975 Meter -->697.5 Millimeter (Check conversion here)

FINAL ANSWER

697.5 Millimeter <-- Mean Free Path

(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

CMOS Mean Free Path Formula

Mean Free Path = Critical Voltage in CMOS/Critical Electric Field
L = V_c/E_c

What are the effects of temperature on reverse saturation current and barrier voltage?

Temperature has a significant impact on the reverse saturation current and barrier voltage in thin film transistors. An increase in temperature typically Result in an increase in reverse saturation current and a decrease in barrier voltage. This is because higher temperatures lead to increased gas kinetic energy, which can facilitate the injection of charge carriers into the depletion region of the transistor.

How to Calculate CMOS Mean Free Path?

CMOS Mean Free Path calculator uses Mean Free Path = Critical Voltage in CMOS/Critical Electric Field to calculate the Mean Free Path, CMOS Mean Free Path refers to the average distance that free charge carriers (electrons or holes) can travel in a semiconductor material without colliding with each other or with the surrounding lattice atoms. Mean Free Path is denoted by L symbol.

How to calculate CMOS Mean Free Path using this online calculator? To use this online calculator for CMOS Mean Free Path, enter Critical Voltage in CMOS (V_c) & Critical Electric Field (E_c) and hit the calculate button. Here is how the CMOS Mean Free Path calculation can be explained with given input values -> 697500 = 2.79/4.

FAQ

What is CMOS Mean Free Path?

CMOS Mean Free Path refers to the average distance that free charge carriers (electrons or holes) can travel in a semiconductor material without colliding with each other or with the surrounding lattice atoms and is represented as L = V_c/E_c or Mean Free Path = Critical Voltage in CMOS/Critical Electric Field. Critical Voltage in CMOS is the minimum phase to the neutral voltage which glows and appears all along the line conductor & Critical Electric Field is defined as the electric force per unit charge.

How to calculate CMOS Mean Free Path?

CMOS Mean Free Path refers to the average distance that free charge carriers (electrons or holes) can travel in a semiconductor material without colliding with each other or with the surrounding lattice atoms is calculated using Mean Free Path = Critical Voltage in CMOS/Critical Electric Field. To calculate CMOS Mean Free Path, you need Critical Voltage in CMOS (V_c) & Critical Electric Field (E_c). With our tool, you need to enter the respective value for Critical Voltage in CMOS & Critical Electric Field 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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