Threshold Voltage when Source is at Body Potential Calculator

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VLSI Material Optimization

Analog VLSI Design

✖DIBL coefficient in a cmos device is resprented typically on the order of 0.1.ⓘ DIBL Coefficient [η]			+10% -10%
✖Drain to source Potential is potential between drain and source.ⓘ Drain to Source Potential [V_ds]			+10% -10%
✖Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.ⓘ Threshold Voltage [V_t]			+10% -10%

✖Threshold Voltage dibl is defined as the minimum voltage required by the source junction of the body potential, when source is at body potential.ⓘ Threshold Voltage when Source is at Body Potential [V_t0]

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Threshold Voltage when Source is at Body Potential

Formula

`"V"_{"t0"} = "η"*"V"_{"ds"}+"V"_{"t"} `

Example

`"0.59V"="0.2"*"1.45V"+"0.3V" `

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Threshold Voltage when Source is at Body Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage
V_t0 = η*V_ds+V_t
This formula uses 4 Variables

Variables Used

Threshold Voltage DIBL - (Measured in Volt) - Threshold Voltage dibl is defined as the minimum voltage required by the source junction of the body potential, when source is at body potential.
DIBL Coefficient - DIBL coefficient in a cmos device is resprented typically on the order of 0.1.
Drain to Source Potential - (Measured in Volt) - Drain to source Potential is potential between drain and source.
Threshold Voltage - (Measured in Volt) - Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.

STEP 1: Convert Input(s) to Base Unit

DIBL Coefficient: 0.2 --> No Conversion Required
Drain to Source Potential: 1.45 Volt --> 1.45 Volt No Conversion Required
Threshold Voltage: 0.3 Volt --> 0.3 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_t0 = η*V_ds+V_t --> 0.2*1.45+0.3

Evaluating ... ...

V_t0 = 0.59

STEP 3: Convert Result to Output's Unit

0.59 Volt --> No Conversion Required

FINAL ANSWER

0.59 Volt <-- Threshold Voltage DIBL

(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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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)))

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Threshold Voltage when Source is at Body Potential

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

DIBL Coefficient

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

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)

Subthreshold Slope

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

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

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

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

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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

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Mobility in Mosfet

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K-Prime

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Threshold Voltage when Source is at Body Potential Formula

Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage
V_t0 = η*V_ds+V_t

What is drain-induced barrier lowering(DIBL)?

The drain voltage Vds creates an electric field that affects the threshold voltage. This drain-induced barrier lowering (DIBL) effect is especially pronounced in short-channel transistors. Drain-induced barrier lowering causes Ids to increase with Vds in saturation, in much the same way as channel length modulation does. Again, this is a bane for analog design but insignificant for most digital circuits. More significantly, DIBL increases subthreshold leakage at high Vds.

How to Calculate Threshold Voltage when Source is at Body Potential?

Threshold Voltage when Source is at Body Potential calculator uses Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage to calculate the Threshold Voltage DIBL, The Threshold voltage when source is at body potential is calculated when source is at body potential(Vto) which is equal to minimum voltage required by the source junction. Threshold Voltage DIBL is denoted by V_t0 symbol.

How to calculate Threshold Voltage when Source is at Body Potential using this online calculator? To use this online calculator for Threshold Voltage when Source is at Body Potential, enter DIBL Coefficient (η), Drain to Source Potential (V_ds) & Threshold Voltage (V_t) and hit the calculate button. Here is how the Threshold Voltage when Source is at Body Potential calculation can be explained with given input values -> 0.3368 = 0.2*1.45+0.3 .

FAQ

What is Threshold Voltage when Source is at Body Potential?

The Threshold voltage when source is at body potential is calculated when source is at body potential(Vto) which is equal to minimum voltage required by the source junction and is represented as V_t0 = η*V_ds+V_t or Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage. DIBL coefficient in a cmos device is resprented typically on the order of 0.1, Drain to source Potential is potential between drain and source & Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.

How to calculate Threshold Voltage when Source is at Body Potential?

The Threshold voltage when source is at body potential is calculated when source is at body potential(Vto) which is equal to minimum voltage required by the source junction is calculated using Threshold Voltage DIBL = DIBL Coefficient*Drain to Source Potential+Threshold Voltage. To calculate Threshold Voltage when Source is at Body Potential, you need DIBL Coefficient (η), Drain to Source Potential (V_ds) & Threshold Voltage (V_t). With our tool, you need to enter the respective value for DIBL Coefficient, Drain to Source Potential & 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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