## Body Effect Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))
γ = modulus((Vt-Vt0)/(sqrt(Φs+(Vsb))-sqrt(Φs)))
This formula uses 2 Functions, 5 Variables
Functions Used
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., sqrt(Number)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus
Variables Used
Body Effect Coefficient - Body Effect Coefficient is the influence of source-bulk voltage in the current due to the change of the threshold voltage.
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.
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.
Surface Potential - (Measured in Volt) - Surface Potential is a key parameter in evaluating the DC property of thin-film transistors.
Source Body Potential Difference - (Measured in Volt) - 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.
STEP 1: Convert Input(s) to Base Unit
Threshold Voltage: 0.3 Volt --> 0.3 Volt No Conversion Required
Threshold Voltage DIBL: 0.59 Volt --> 0.59 Volt No Conversion Required
Surface Potential: 6.86 Volt --> 6.86 Volt No Conversion Required
Source Body Potential Difference: 1.36 Volt --> 1.36 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = modulus((Vt-Vt0)/(sqrt(Φs+(Vsb))-sqrt(Φs))) --> modulus((0.3-0.59)/(sqrt(6.86+(1.36))-sqrt(6.86)))
Evaluating ... ...
γ = 1.16985454290539
STEP 3: Convert Result to Output's Unit
1.16985454290539 --> No Conversion Required
1.16985454290539 1.169855 <-- Body Effect Coefficient
(Calculation completed in 00.004 seconds)
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## Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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## <VLSI Material Optimization Calculators

Body Effect Coefficient
​ Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))
DIBL Coefficient
​ Go DIBL Coefficient = (Threshold Voltage DIBL-Threshold Voltage)/Drain to Source Potential
Channel Charge
​ Go Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)
Critical Voltage
​ Go Critical Voltage = Critical Electric Field*Electric Field Across Channel Length

## Body Effect Coefficient Formula

Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))
γ = modulus((Vt-Vt0)/(sqrt(Φs+(Vsb))-sqrt(Φs)))

## How the body, the fourth terminal of a transistor affetcs the threshold voltage?

The body is an implicit fourth terminal of a transistor. When a voltage is applied between the source and body, it increases the amount of charge required to invert the channel, hence, it increases the threshold voltage. The body effect further degrades the performance of pass transistors trying to pass the weak value.

## How to Calculate Body Effect Coefficient?

Body Effect Coefficient calculator uses Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential))) to calculate 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 calculate Body Effect Coefficient using this online calculator? To use this online calculator for Body Effect Coefficient, enter Threshold Voltage (Vt), Threshold Voltage DIBL (Vt0), Surface Potential s) & Source Body Potential Difference (Vsb) and hit the calculate button. Here is how the Body Effect Coefficient calculation can be explained with given input values -> 1.169855 = modulus((0.3-0.59)/(sqrt(6.86+(1.36))-sqrt(6.86))).

### FAQ

What is 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 and is represented as γ = modulus((Vt-Vt0)/(sqrt(Φs+(Vsb))-sqrt(Φs))) or Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential))). Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals, Threshold Voltage dibl is defined as the minimum voltage required by the source junction of the body potential, when source is at body potential, Surface Potential is a key parameter in evaluating the DC property of thin-film transistors & 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.
How to calculate 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 is calculated using Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential))). To calculate Body Effect Coefficient, you need Threshold Voltage (Vt), Threshold Voltage DIBL (Vt0), Surface Potential s) & Source Body Potential Difference (Vsb). With our tool, you need to enter the respective value for Threshold Voltage, Threshold Voltage DIBL, Surface Potential & Source Body Potential Difference 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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