Width of Gate Calculator

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✖Input Gate Capacitance in CMOS refers to the capacitance between the input terminals of a CMOS circuit and the reference potential (usually ground).ⓘ Input Gate Capacitance [C_in]			+10% -10%
✖Capacitance of Gate Oxide Layer is defined as the capacitance of the gate terminal of a field-effect transistor.ⓘ Capacitance of Gate Oxide Layer [C_ox]			+10% -10%
✖Length of Gate is the measurement or extent of something from end to end.ⓘ Length of Gate [L_g]			+10% -10%

✖Gate Width refers to the distance between the edge of a metal gate electrode and the adjacent semiconductor material in a CMOS.ⓘ Width of Gate [W_g]

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Formula

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Width of Gate

Formula

`"W"_{"g"} = "C"_{"in"}/("C"_{"ox"}*"L"_{"g"}) `

Example

`"0.285667mm"="60.01μF"/("30.01μF/mm²"*"7mm") `

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Width of Gate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate)
W_g = C_in/(C_ox*L_g)
This formula uses 4 Variables

Variables Used

Gate Width - (Measured in Meter) - Gate Width refers to the distance between the edge of a metal gate electrode and the adjacent semiconductor material in a CMOS.
Input Gate Capacitance - (Measured in Farad) - Input Gate Capacitance in CMOS refers to the capacitance between the input terminals of a CMOS circuit and the reference potential (usually ground).
Capacitance of Gate Oxide Layer - (Measured in Farad per Square Meter) - Capacitance of Gate Oxide Layer is defined as the capacitance of the gate terminal of a field-effect transistor.
Length of Gate - (Measured in Meter) - Length of Gate is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Input Gate Capacitance: 60.01 Microfarad --> 6.001E-05 Farad (Check conversion here)
Capacitance of Gate Oxide Layer: 30.01 Microfarad per Square Millimeter --> 30.01 Farad per Square Meter (Check conversion here)
Length of Gate: 7 Millimeter --> 0.007 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_g = C_in/(C_ox*L_g) --> 6.001E-05/(30.01*0.007)

Evaluating ... ...

W_g = 0.000285666682534393

STEP 3: Convert Result to Output's Unit

0.000285666682534393 Meter -->0.285666682534393 Millimeter (Check conversion here)

FINAL ANSWER

0.285666682534393 ≈ 0.285667 Millimeter <-- Gate 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

CMOS Mean Free Path

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

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

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

Width of Gate Formula

Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate)
W_g = C_in/(C_ox*L_g)

What are the regions of operation in MOS transistors?

MOS transistors have three regions of operation. They are Cutoff or subthreshold region, Linear region and Saturation region.

How to Calculate Width of Gate?

Width of Gate calculator uses Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate) to calculate the Gate Width, The Width of Gate formula is defined as the width around the junction's of the MOSFET i.e the area of junction width. Gate Width is denoted by W_g symbol.

How to calculate Width of Gate using this online calculator? To use this online calculator for Width of Gate, enter Input Gate Capacitance (C_in), Capacitance of Gate Oxide Layer (C_ox) & Length of Gate (L_g) and hit the calculate button. Here is how the Width of Gate calculation can be explained with given input values -> 285.6667 = 6.001E-05/(30.01*0.007) .

FAQ

What is Width of Gate?

The Width of Gate formula is defined as the width around the junction's of the MOSFET i.e the area of junction width and is represented as W_g = C_in/(C_ox*L_g) or Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate). Input Gate Capacitance in CMOS refers to the capacitance between the input terminals of a CMOS circuit and the reference potential (usually ground), Capacitance of Gate Oxide Layer is defined as the capacitance of the gate terminal of a field-effect transistor & Length of Gate is the measurement or extent of something from end to end.

How to calculate Width of Gate?

The Width of Gate formula is defined as the width around the junction's of the MOSFET i.e the area of junction width is calculated using Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate). To calculate Width of Gate, you need Input Gate Capacitance (C_in), Capacitance of Gate Oxide Layer (C_ox) & Length of Gate (L_g). With our tool, you need to enter the respective value for Input Gate Capacitance, Capacitance of Gate Oxide Layer & Length of Gate 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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