Critical Voltage Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

VLSI Material Optimization

Analog VLSI Design

✖Critical Electric Field is defined as the electric force per unit charge.ⓘ Critical Electric Field [E_x]			+10% -10%
✖Electric Field Across Channel Lengthis the produced electric field in the channel during the process.ⓘ Electric Field Across Channel Length [E_ch]			+10% -10%

✖Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.ⓘ Critical Voltage [V_x]

⎘ Copy

👎

Formula

✖

Critical Voltage

Formula

`"V"_{"x"} = "E"_{"x"}*"E"_{"ch"}`

Example

`"28V"="0.004V/mm"*"7e-3V/mm"`

Calculator

LaTeX

Reset

👍

Download Electronics Formula PDF PDF Image

Critical Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Voltage = Critical Electric Field*Electric Field Across Channel Length
V_x = E_x*E_ch
This formula uses 3 Variables

Variables Used

Critical Voltage - (Measured in Volt) - Critical Voltage 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.
Electric Field Across Channel Length - (Measured in Volt per Meter) - Electric Field Across Channel Lengthis the produced electric field in the channel during the process.

STEP 1: Convert Input(s) to Base Unit

Critical Electric Field: 0.004 Volt per Millimeter --> 4 Volt per Meter (Check conversion here)
Electric Field Across Channel Length: 0.007 Volt per Millimeter --> 7 Volt per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_x = E_x*E_ch --> 4*7

Evaluating ... ...

V_x = 28

STEP 3: Convert Result to Output's Unit

28 Volt --> No Conversion Required

FINAL ANSWER

28 Volt <-- Critical Voltage

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Electronics » VLSI Fabrication » VLSI Material Optimization » Critical Voltage

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 25 VLSI Material Optimization Calculators

Bulk Depletion Region Charge Density VLSI

Go Bulk Depletion Region Charge Density = -(1-((Lateral Extent of Depletion Region with Source+Lateral Extent of Depletion Region with Drain)/(2*Channel Length)))*sqrt(2*[Charge-e]*[Permitivity-silicon]*[Permitivity-vacuum]*Acceptor Concentration*abs(2*Surface Potential))

Body Effect Coefficient

Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))

Junction Built-in Voltage VLSI

Go Junction Built-in Voltage = ([BoltZ]*Temperature/[Charge-e])*ln(Acceptor Concentration*Donor concentration/(Intrinsic Concentration)^2)

PN Junction Depletion Depth with Source VLSI

Go P-n Junction Depletion Depth with Source = sqrt((2*[Permitivity-silicon]*[Permitivity-vacuum]*Junction Built-in Voltage)/([Charge-e]*Acceptor Concentration))

Total Source Parasitic Capacitance

Go Source Parasitic Capacitance = (Capacitance between Junction of Body and Source*Area of Source Diffusion)+(Capacitance between Junction of Body and Side wall*Sidewall Perimeter of Source Diffusion)

Short Channel Saturation Current VLSI

Go Short Channel Saturation Current = Channel Width*Saturation Electron Drift Velocity*Oxide Capacitance per Unit Area*Saturation Drain Source Voltage

Junction Current

Go Junction Current = (Static Power/Base Collector Voltage)-(Sub Threshold Current+Contention Current+Gate Current)

Surface Potential

Go Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration)

DIBL Coefficient

Go DIBL Coefficient = (Threshold Voltage DIBL-Threshold Voltage)/Drain to Source Potential

Threshold Voltage when Source is at Body Potential

Go Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage

Subthreshold Slope

Go Sub Threshold Slope = Source Body Potential Difference*DIBL Coefficient*ln(10)

Threshold Voltage

Go Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)

Gate Capacitance

Go Gate Capacitance = Channel Charge/(Gate to Channel Voltage-Threshold Voltage)

Channel Charge

Go Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)

Gate Length using Gate Oxide Capacitance

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

Gate Oxide Capacitance

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

Oxide Capacitance after Full Scaling VLSI

Go Oxide Capacitance after Full Scaling = Oxide Capacitance per Unit Area*Scaling Factor

Critical Voltage

Go Critical Voltage = Critical Electric Field*Electric Field Across Channel Length

Gate Oxide Thickness after Full Scaling VLSI

Go Gate Oxide Thickness after Full Scaling = Gate Oxide Thickness/Scaling Factor

Intrinsic Gate Capacitance

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

Channel Length after Full Scaling VLSI

Go Channel Length after Full Scaling = Channel Length/Scaling Factor

Junction Depth after Full Scaling VLSI

Go Junction Depth after Full Scaling = Junction Depth/Scaling Factor

Channel Width after Full Scaling VLSI

Go Channel Width after Full Scaling = Channel Width/Scaling Factor

Mobility in Mosfet

Go Mobility in MOSFET = K Prime/Capacitance of Gate Oxide Layer

K-Prime

Go K Prime = Mobility in MOSFET*Capacitance of Gate Oxide Layer

Critical Voltage Formula

Critical Voltage = Critical Electric Field*Electric Field Across Channel Length
V_x = E_x*E_ch

What is mobility degradation?

A high voltage at the gate of the transistor attracts the carriers to the edge of the channel, causing collisions with the oxide interface that slow the carriers. This is called mobility degradation.

What is velocity saturation?

Carriers approach a maximum velocity vsat when high fields are applied. This phenomenon is called velocity saturation.

How to Calculate Critical Voltage?

Critical Voltage calculator uses Critical Voltage = Critical Electric Field*Electric Field Across Channel Length to calculate the Critical Voltage, The Critical Voltage formula is defined as the drain-source voltage at which the critical effective field is reached. Critical Voltage is denoted by V_x symbol.

How to calculate Critical Voltage using this online calculator? To use this online calculator for Critical Voltage, enter Critical Electric Field (E_x) & Electric Field Across Channel Length (E_ch) and hit the calculate button. Here is how the Critical Voltage calculation can be explained with given input values -> 28 = 4*7.

FAQ

What is Critical Voltage?

The Critical Voltage formula is defined as the drain-source voltage at which the critical effective field is reached and is represented as V_x = E_x*E_ch or Critical Voltage = Critical Electric Field*Electric Field Across Channel Length. Critical Electric Field is defined as the electric force per unit charge & Electric Field Across Channel Lengthis the produced electric field in the channel during the process.

How to calculate Critical Voltage?

The Critical Voltage formula is defined as the drain-source voltage at which the critical effective field is reached is calculated using Critical Voltage = Critical Electric Field*Electric Field Across Channel Length. To calculate Critical Voltage, you need Critical Electric Field (E_x) & Electric Field Across Channel Length (E_ch). With our tool, you need to enter the respective value for Critical Electric Field & Electric Field Across Channel Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search