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Body Effect Coefficient Formula

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Body Effect Coefficient is the influence of source-bulk voltage in the current due to the change of the threshold voltage. Check FAQs

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

γ - Body Effect Coefficient?V_t - Threshold Voltage?V_t0 - Threshold Voltage DIBL?Φ_s - Surface Potential?V_sb - Source Body Potential Difference?

Body Effect Coefficient Example

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Here is how the Body Effect Coefficient equation looks like with Values.

Here is how the Body Effect Coefficient equation looks like with Units.

Here is how the Body Effect Coefficient equation looks like.

1.1699 = mod \underset{̲}{u} s (\frac{0.3 - 0.59}{\sqrt{6.86 + (1.36)} - \sqrt{6.86}})

1.1699 = mod \underset{̲}{u} s (\frac{0.3V - 0.59V}{\sqrt{6.86V + (1.36V)} - \sqrt{6.86V}})

1.1699 = mod \underset{̲}{u} s (\frac{0.3 - 0.59}{\sqrt{6.86 + (1.36)} - \sqrt{6.86}})

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Body Effect Coefficient Solution

Follow our step by step solution on how to calculate Body Effect Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ = mod \underset{̲}{u} s (\frac{0.3V - 0.59V}{\sqrt{6.86V + (1.36V)} - \sqrt{6.86V}})

Next Step Prepare to Evaluate

∴

γ = mod \underset{̲}{u} s (\frac{0.3 - 0.59}{\sqrt{6.86 + (1.36)} - \sqrt{6.86}})

Next Step Evaluate

∴

γ = 1.16985454290539

LAST Step Rounding Answer

∴

γ = 1.1699

Body Effect Coefficient Formula Elements

Variables

Functions

Body Effect Coefficient

Body Effect Coefficient is the influence of source-bulk voltage in the current due to the change of the threshold voltage.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Body Effect Coefficient

Threshold Voltage

Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.

Symbol: V_t

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Threshold Voltage

Threshold Voltage DIBL

Threshold Voltage dibl is defined as the minimum voltage required by the source junction of the body potential, when source is at body potential.

Symbol: V_t0

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Threshold Voltage DIBL

Surface Potential

Surface Potential is a key parameter in evaluating the DC property of thin-film transistors.

Symbol: Φ_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Surface Potential

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in VLSI Material Optimization category

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}

Go Gate Capacitance

C g = \frac{Q ch}{V gc - V t}

How to Evaluate Body Effect Coefficient?

Body Effect Coefficient evaluator uses Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential))) to evaluate the Body Effect Coefficient, The Body effect coefficient formula is defined as the influence of source-bulk voltage in the current due to change of the threshold voltage by the source-bulk voltage. Body Effect Coefficient is denoted by γ symbol.

How to evaluate Body Effect Coefficient using this online evaluator? To use this online evaluator for Body Effect Coefficient, enter Threshold Voltage (V_t), Threshold Voltage DIBL (V_t0), Surface Potential (Φ_s) & Source Body Potential Difference (V_sb) and hit the calculate button.

FAQs on Body Effect Coefficient

What is the formula to find Body Effect Coefficient?

The formula of Body Effect Coefficient is expressed as Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential))). Here is an example- 1.169855 = modulus((0.3-0.59)/(sqrt(6.86+(1.36))-sqrt(6.86))).

How to calculate Body Effect Coefficient?

With Threshold Voltage (V_t), Threshold Voltage DIBL (V_t0), Surface Potential (Φ_s) & Source Body Potential Difference (V_sb) we can find Body Effect Coefficient using the formula - Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential))). This formula also uses Square Root (sqrt), Modulus (modulus) function(s).

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Body Effect Coefficient Formula

Body Effect Coefficient Example

Body Effect Coefficient Solution

Body Effect Coefficient Formula Elements

Other formulas in VLSI Material Optimization category

How to Evaluate Body Effect Coefficient?

FAQs on Body Effect Coefficient

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