LCM of three numbers

Body Effect Coefficient Calculator

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✖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 DIBL [V_t0]			+10% -10%
✖Surface Potential is a key parameter in evaluating the DC property of thin-film transistors.ⓘ Surface Potential [Φ_s]			+10% -10%
✖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.ⓘ Source Body Potential Difference [V_sb]			+10% -10%

✖Body Effect Coefficient is the influence of source-bulk voltage in the current due to the change of the threshold voltage.ⓘ Body Effect Coefficient [γ]

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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((V_t-V_t0)/(sqrt(Φ_s+(V_sb))-sqrt(Φ_s)))
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((V_t-V_t0)/(sqrt(Φ_s+(V_sb))-sqrt(Φ_s))) --> 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

FINAL ANSWER

1.16985454290539 ≈ 1.169855 <-- Body Effect Coefficient

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< VLSI Material Optimization Calculators

Body Effect Coefficient

LaTeX Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))

DIBL Coefficient

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

Channel Charge

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

Critical Voltage

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

Body Effect Coefficient Formula

LaTeX Go

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 (V_t), Threshold Voltage DIBL (V_t0), Surface Potential (Φ_s) & Source Body Potential Difference (V_sb) 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((V_t-V_t0)/(sqrt(Φ_s+(V_sb))-sqrt(Φ_s))) 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 (V_t), Threshold Voltage DIBL (V_t0), Surface Potential (Φ_s) & Source Body Potential Difference (V_sb). 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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