Narrow Channel Threshold Voltage VLSI Calculator

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VLSI Material Optimization

Analog VLSI Design

✖Zero Body Bias Threshold Voltage is defined as the threshold voltage of the MOSFET when substrate is at zero potential.ⓘ Zero Body Bias Threshold Voltage [V_T0]			+10% -10%
✖Narrow Channel Additional Threshold Voltage is defined as a additional contribution to the threshold voltage due to narrow-channel effects in MOSFET.ⓘ Narrow Channel Additional Threshold Voltage [ΔV_T0(nc)]			+10% -10%

✖Narrow Channel Threshold Voltage is defined as the threshold voltage's value after narrowing the channel.ⓘ Narrow Channel Threshold Voltage VLSI [V_T0(nc)]

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Formula

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Narrow Channel Threshold Voltage VLSI

Formula

`"V"_{"T0(nc)"} = "V"_{"T0"}+"ΔV"_{"T0(nc)"}`

Example

`"3.225V"="0.855V"+"2.37V"`

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Narrow Channel Threshold Voltage VLSI Solution

STEP 0: Pre-Calculation Summary

Formula Used

Narrow Channel Threshold Voltage = Zero Body Bias Threshold Voltage+Narrow Channel Additional Threshold Voltage
V_T0(nc) = V_T0+ΔV_T0(nc)
This formula uses 3 Variables

Variables Used

Narrow Channel Threshold Voltage - (Measured in Volt) - Narrow Channel Threshold Voltage is defined as the threshold voltage's value after narrowing the channel.
Zero Body Bias Threshold Voltage - (Measured in Volt) - Zero Body Bias Threshold Voltage is defined as the threshold voltage of the MOSFET when substrate is at zero potential.
Narrow Channel Additional Threshold Voltage - (Measured in Volt) - Narrow Channel Additional Threshold Voltage is defined as a additional contribution to the threshold voltage due to narrow-channel effects in MOSFET.

STEP 1: Convert Input(s) to Base Unit

Zero Body Bias Threshold Voltage: 0.855 Volt --> 0.855 Volt No Conversion Required
Narrow Channel Additional Threshold Voltage: 2.37 Volt --> 2.37 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_T0(nc) = V_T0+ΔV_T0(nc) --> 0.855+2.37

Evaluating ... ...

V_T0(nc) = 3.225

STEP 3: Convert Result to Output's Unit

3.225 Volt --> No Conversion Required

FINAL ANSWER

3.225 Volt <-- Narrow Channel Threshold Voltage

(Calculation completed in 00.004 seconds)

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Credits

Created by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

Priyanka Patel has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Calculator and 50+ more calculators!

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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

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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))

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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

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

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

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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

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

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

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

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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)

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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

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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

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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

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

K-Prime

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

Narrow Channel Threshold Voltage VLSI Formula

Narrow Channel Threshold Voltage = Zero Body Bias Threshold Voltage+Narrow Channel Additional Threshold Voltage
V_T0(nc) = V_T0+ΔV_T0(nc)

What is the impact of narrowing the channel in MOSFET?

Threshold voltage's values increased by narrowing the channel in MOSFET. Which ultimately leads to larger Threshold voltage.

How to Calculate Narrow Channel Threshold Voltage VLSI?

Narrow Channel Threshold Voltage VLSI calculator uses Narrow Channel Threshold Voltage = Zero Body Bias Threshold Voltage+Narrow Channel Additional Threshold Voltage to calculate the Narrow Channel Threshold Voltage, The Narrow Channel Threshold Voltage VLSI formula is defined as the threshold voltage's value after narrowing the channel. Narrow Channel Threshold Voltage is denoted by V_T0(nc) symbol.

How to calculate Narrow Channel Threshold Voltage VLSI using this online calculator? To use this online calculator for Narrow Channel Threshold Voltage VLSI, enter Zero Body Bias Threshold Voltage (V_T0) & Narrow Channel Additional Threshold Voltage (ΔV_T0(nc)) and hit the calculate button. Here is how the Narrow Channel Threshold Voltage VLSI calculation can be explained with given input values -> 3.225 = 0.855+2.37.

FAQ

What is Narrow Channel Threshold Voltage VLSI?

The Narrow Channel Threshold Voltage VLSI formula is defined as the threshold voltage's value after narrowing the channel and is represented as V_T0(nc) = V_T0+ΔV_T0(nc) or Narrow Channel Threshold Voltage = Zero Body Bias Threshold Voltage+Narrow Channel Additional Threshold Voltage. Zero Body Bias Threshold Voltage is defined as the threshold voltage of the MOSFET when substrate is at zero potential & Narrow Channel Additional Threshold Voltage is defined as a additional contribution to the threshold voltage due to narrow-channel effects in MOSFET.

How to calculate Narrow Channel Threshold Voltage VLSI?

The Narrow Channel Threshold Voltage VLSI formula is defined as the threshold voltage's value after narrowing the channel is calculated using Narrow Channel Threshold Voltage = Zero Body Bias Threshold Voltage+Narrow Channel Additional Threshold Voltage. To calculate Narrow Channel Threshold Voltage VLSI, you need Zero Body Bias Threshold Voltage (V_T0) & Narrow Channel Additional Threshold Voltage (ΔV_T0(nc)). With our tool, you need to enter the respective value for Zero Body Bias Threshold Voltage & Narrow Channel Additional Threshold Voltage 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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