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Subthreshold Slope Formula

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Sub Threshold Slope is a feature of a MOSFET's current-voltage characteristic. Check FAQs

S = V sb \cdot η \cdot \ln (10)

S - Sub Threshold Slope?V_sb - Source Body Potential Difference?η - DIBL Coefficient?

Subthreshold Slope Example

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Here is how the Subthreshold Slope equation looks like with Values.

Here is how the Subthreshold Slope equation looks like with Units.

Here is how the Subthreshold Slope equation looks like.

0.6263 = 1.36 \cdot 0.2 \cdot \ln (10)

0.6263 = 1.36V \cdot 0.2 \cdot \ln (10)

0.6263 = 1.36 \cdot 0.2 \cdot \ln (10)

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Subthreshold Slope Solution

Follow our step by step solution on how to calculate Subthreshold Slope?

FIRST Step Consider the formula

S = V sb \cdot η \cdot \ln (10)

Next Step Substitute values of Variables

∴

S = 1.36V \cdot 0.2 \cdot \ln (10)

Next Step Prepare to Evaluate

∴

S = 1.36 \cdot 0.2 \cdot \ln (10)

Next Step Evaluate

∴

S = 0.626303145294381

LAST Step Rounding Answer

∴

S = 0.6263

Subthreshold Slope Formula Elements

Variables

Functions

Sub Threshold Slope

Sub Threshold Slope is a feature of a MOSFET's current-voltage characteristic.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sub Threshold Slope

Source Body Potential Difference

Source Body Potential Difference is calculated when an externally applied potential is equal to the sum of voltage drop across the oxide layer and the voltage drop across the semiconductor.

Symbol: V_sb

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Source Body Potential Difference

DIBL Coefficient

DIBL coefficient in a cmos device is resprented typically on the order of 0.1.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find DIBL Coefficient

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in VLSI Material Optimization category

Go Body Effect Coefficient

γ = mod \underset{̲}{u} s (\frac{V t - V t0}{\sqrt{Φ s + (V sb)} - \sqrt{Φ s}})

Go Channel Charge

Q ch = C g \cdot (V gc - V t)

Go Critical Voltage

V x = E x \cdot E ch

Go DIBL Coefficient

η = \frac{V t0 - V t}{V ds}

How to Evaluate Subthreshold Slope?

Subthreshold Slope evaluator uses Sub Threshold Slope = Source Body Potential Difference*DIBL Coefficient*ln(10) to evaluate the Sub Threshold Slope, The Subthreshold slope formula is defined as a feature of a MOSFET's current–voltage characteristic. In the subthreshold region, the drain current behaviour, though being controlled by the gate terminal, is similar to the exponentially decreasing current of a forward biased diode. Sub Threshold Slope is denoted by S symbol.

How to evaluate Subthreshold Slope using this online evaluator? To use this online evaluator for Subthreshold Slope, enter Source Body Potential Difference (V_sb) & DIBL Coefficient (η) and hit the calculate button.

FAQs on Subthreshold Slope

What is the formula to find Subthreshold Slope?

The formula of Subthreshold Slope is expressed as Sub Threshold Slope = Source Body Potential Difference*DIBL Coefficient*ln(10). Here is an example- 4.91648 = 1.36*0.2*ln(10).

How to calculate Subthreshold Slope?

With Source Body Potential Difference (V_sb) & DIBL Coefficient (η) we can find Subthreshold Slope using the formula - Sub Threshold Slope = Source Body Potential Difference*DIBL Coefficient*ln(10). This formula also uses Natural Logarithm (ln) function(s).

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