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Sidewall Voltage Equivalence Factor Formula

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Sidewall Voltage Equivalence Factor represents the relationship between the voltage applied to a semiconductor device and the resulting change in sidewall junction capacitance per unit area. Check FAQs

K eq(sw) = - (2 \cdot \frac{\sqrt{Φ osw}}{V 2 - V 1} \cdot (\sqrt{Φ osw - V 2} - \sqrt{Φ osw - V 1}))

K_eq(sw) - Sidewall Voltage Equivalence Factor?Φ_osw - Built in Potential of Sidewall Junctions?V₂ - Final Voltage?V₁ - Initial Voltage?

Sidewall Voltage Equivalence Factor Example

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Here is how the Sidewall Voltage Equivalence Factor equation looks like with Values.

Here is how the Sidewall Voltage Equivalence Factor equation looks like with Units.

Here is how the Sidewall Voltage Equivalence Factor equation looks like.

1.0001 = - (2 \cdot \frac{\sqrt{3.2E-5}}{6.135 - 5.42} \cdot (\sqrt{3.2E-5 - 6.135} - \sqrt{3.2E-5 - 5.42}))

1.0001 = - (2 \cdot \frac{\sqrt{3.2E-5V}}{6.135nV - 5.42nV} \cdot (\sqrt{3.2E-5V - 6.135nV} - \sqrt{3.2E-5V - 5.42nV}))

1.0001 = - (2 \cdot \frac{\sqrt{3.2E-5}}{6.135 - 5.42} \cdot (\sqrt{3.2E-5 - 6.135} - \sqrt{3.2E-5 - 5.42}))

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Sidewall Voltage Equivalence Factor Solution

Follow our step by step solution on how to calculate Sidewall Voltage Equivalence Factor?

FIRST Step Consider the formula

K eq(sw) = - (2 \cdot \frac{\sqrt{Φ osw}}{V 2 - V 1} \cdot (\sqrt{Φ osw - V 2} - \sqrt{Φ osw - V 1}))

Next Step Substitute values of Variables

∴

K eq(sw) = - (2 \cdot \frac{\sqrt{3.2E-5V}}{6.135nV - 5.42nV} \cdot (\sqrt{3.2E-5V - 6.135nV} - \sqrt{3.2E-5V - 5.42nV}))

Next Step Convert Units

∴

K eq(sw) = - (2 \cdot \frac{\sqrt{3.2E-5V}}{6.1E-9V - 5.4E-9V} \cdot (\sqrt{3.2E-5V - 6.1E-9V} - \sqrt{3.2E-5V - 5.4E-9V}))

Next Step Prepare to Evaluate

∴

K eq(sw) = - (2 \cdot \frac{\sqrt{3.2E-5}}{6.1E-9 - 5.4E-9} \cdot (\sqrt{3.2E-5 - 6.1E-9} - \sqrt{3.2E-5 - 5.4E-9}))

Next Step Evaluate

∴

K eq(sw) = 1.00009028568687

LAST Step Rounding Answer

∴

K eq(sw) = 1.0001

Sidewall Voltage Equivalence Factor Formula Elements

Variables

Functions

Sidewall Voltage Equivalence Factor

Sidewall Voltage Equivalence Factor represents the relationship between the voltage applied to a semiconductor device and the resulting change in sidewall junction capacitance per unit area.

Symbol: K_eq(sw)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sidewall Voltage Equivalence Factor

Built in Potential of Sidewall Junctions

Built in Potential of Sidewall Junctions refers to the junction formed along the vertical or sidewall surfaces of the transistor structure.

Symbol: Φ_osw

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Built in Potential of Sidewall Junctions

Final Voltage

Final Voltage refers to the voltage level achieved or measured at the conclusion of a particular process or event.

Symbol: V₂

Measurement: Electric PotentialUnit: nV

Note: Value should be greater than 0.

Formulas to find Final Voltage

Initial Voltage

Initial Voltage refer to the voltage present at a specific point in a circuit at the beginning of a certain operation or under specific conditions.

Symbol: V₁

Measurement: Electric PotentialUnit: nV

Note: Value should be greater than 0.

Formulas to find Initial Voltage

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)

Other formulas in MOS Transistor category

Go Zero Bias Sidewall Junction Capacitance per Unit Length

C jsw = C j0sw \cdot x j

Go Equivalent Large Signal Junction Capacitance

C eq(sw) = P \cdot C jsw \cdot K eq(sw)

Go Fermi Potential for P Type

Φ Fp = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{n i}{N A})

Go Fermi Potential for N Type

Φ Fn = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{N d}{n i})

How to Evaluate Sidewall Voltage Equivalence Factor?

Sidewall Voltage Equivalence Factor evaluator uses Sidewall Voltage Equivalence Factor = -(2*sqrt(Built in Potential of Sidewall Junctions)/(Final Voltage-Initial Voltage)*(sqrt(Built in Potential of Sidewall Junctions-Final Voltage)-sqrt(Built in Potential of Sidewall Junctions-Initial Voltage))) to evaluate the Sidewall Voltage Equivalence Factor, The Sidewall Voltage Equivalence Factor formula is defined as a parameter used in modeling the corner effects of the gate oxide thickness in Metal-Oxide-Semiconductor Field-Effect Transistor (MOSFET) devices. Sidewall Voltage Equivalence Factor is denoted by K_eq(sw) symbol.

How to evaluate Sidewall Voltage Equivalence Factor using this online evaluator? To use this online evaluator for Sidewall Voltage Equivalence Factor, enter Built in Potential of Sidewall Junctions (Φ_osw), Final Voltage (V₂) & Initial Voltage (V₁) and hit the calculate button.

FAQs on Sidewall Voltage Equivalence Factor

What is the formula to find Sidewall Voltage Equivalence Factor?

The formula of Sidewall Voltage Equivalence Factor is expressed as Sidewall Voltage Equivalence Factor = -(2*sqrt(Built in Potential of Sidewall Junctions)/(Final Voltage-Initial Voltage)*(sqrt(Built in Potential of Sidewall Junctions-Final Voltage)-sqrt(Built in Potential of Sidewall Junctions-Initial Voltage))). Here is an example- 1.00009 = -(2*sqrt(3.2E-05)/(6.135E-09-5.42E-09)*(sqrt(3.2E-05-6.135E-09)-sqrt(3.2E-05-5.42E-09))).

How to calculate Sidewall Voltage Equivalence Factor?

With Built in Potential of Sidewall Junctions (Φ_osw), Final Voltage (V₂) & Initial Voltage (V₁) we can find Sidewall Voltage Equivalence Factor using the formula - Sidewall Voltage Equivalence Factor = -(2*sqrt(Built in Potential of Sidewall Junctions)/(Final Voltage-Initial Voltage)*(sqrt(Built in Potential of Sidewall Junctions-Final Voltage)-sqrt(Built in Potential of Sidewall Junctions-Initial Voltage))). This formula also uses Square Root (sqrt) function(s).

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Sidewall Voltage Equivalence Factor Formula

Sidewall Voltage Equivalence Factor Example

Sidewall Voltage Equivalence Factor Solution

Sidewall Voltage Equivalence Factor Formula Elements

Other formulas in MOS Transistor category

How to Evaluate Sidewall Voltage Equivalence Factor?

FAQs on Sidewall Voltage Equivalence Factor

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