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Gate Length using Gate Oxide Capacitance Formula

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Gate Length is the measurement or extent of something from end to end. Check FAQs

L g = \frac{C g}{C ox \cdot W g}

L_g - Gate Length?C_g - Gate Capacitance?C_ox - Capacitance of Gate Oxide Layer?W_g - Gate Width?

Gate Length using Gate Oxide Capacitance Example

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Here is how the Gate Length using Gate Oxide Capacitance equation looks like with Values.

Here is how the Gate Length using Gate Oxide Capacitance equation looks like with Units.

Here is how the Gate Length using Gate Oxide Capacitance equation looks like.

7.0117 = \frac{59.61}{29.83 \cdot 0.285}

7.0117mm = \frac{59.61μF}{29.83μF/mm² \cdot 0.285mm}

7.0117 = \frac{59.61}{29.83 \cdot 0.285}

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Gate Length using Gate Oxide Capacitance Solution

Follow our step by step solution on how to calculate Gate Length using Gate Oxide Capacitance?

FIRST Step Consider the formula

L g = \frac{C g}{C ox \cdot W g}

Next Step Substitute values of Variables

∴

L g = \frac{59.61μF}{29.83μF/mm² \cdot 0.285mm}

Next Step Convert Units

∴

L g = \frac{6E-5F}{29.83F/m² \cdot 0.0003m}

Next Step Prepare to Evaluate

∴

L g = \frac{6E-5}{29.83 \cdot 0.0003}

Next Step Evaluate

∴

L g = 0.00701166257917674m

Next Step Convert to Output's Unit

∴

L g = 7.01166257917674mm

LAST Step Rounding Answer

∴

L g = 7.0117mm

Gate Length using Gate Oxide Capacitance Formula Elements

Variables

Gate Length

Gate Length is the measurement or extent of something from end to end.

Symbol: L_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Gate Length

Gate Capacitance

Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor.

Symbol: C_g

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Gate Capacitance

Capacitance of Gate Oxide Layer

Capacitance of Gate Oxide Layer is defined as the capacitance of the gate terminal of a field-effect transistor.

Symbol: C_ox

Measurement: Oxide Capacitance Per Unit AreaUnit: μF/mm²

Note: Value should be greater than 0.

Formulas to find Capacitance of Gate Oxide Layer

Gate Width

Gate Width refers to the distance between the edge of a metal gate electrode and the adjacent semiconductor material in a CMOS.

Symbol: W_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Gate Width

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 Gate Length using Gate Oxide Capacitance?

Gate Length using Gate Oxide Capacitance evaluator uses Gate Length = Gate Capacitance/(Capacitance of Gate Oxide Layer*Gate Width) to evaluate the Gate Length, The Gate Length using gate Oxide Capacitance defined the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close. Gate Length is denoted by L_g symbol.

How to evaluate Gate Length using Gate Oxide Capacitance using this online evaluator? To use this online evaluator for Gate Length using Gate Oxide Capacitance, enter Gate Capacitance (C_g), Capacitance of Gate Oxide Layer (C_ox) & Gate Width (W_g) and hit the calculate button.

FAQs on Gate Length using Gate Oxide Capacitance

What is the formula to find Gate Length using Gate Oxide Capacitance?

The formula of Gate Length using Gate Oxide Capacitance is expressed as Gate Length = Gate Capacitance/(Capacitance of Gate Oxide Layer*Gate Width). Here is an example- 6969.607 = 5.961E-05/(29.83*0.000285).

How to calculate Gate Length using Gate Oxide Capacitance?

With Gate Capacitance (C_g), Capacitance of Gate Oxide Layer (C_ox) & Gate Width (W_g) we can find Gate Length using Gate Oxide Capacitance using the formula - Gate Length = Gate Capacitance/(Capacitance of Gate Oxide Layer*Gate Width).

Can the Gate Length using Gate Oxide Capacitance be negative?

No, the Gate Length using Gate Oxide Capacitance, measured in Length cannot be negative.

Which unit is used to measure Gate Length using Gate Oxide Capacitance?

Gate Length using Gate Oxide Capacitance is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Gate Length using Gate Oxide Capacitance can be measured.

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Gate Length using Gate Oxide Capacitance Formula

Gate Length using Gate Oxide Capacitance Example

Gate Length using Gate Oxide Capacitance Solution

Gate Length using Gate Oxide Capacitance Formula Elements

Other formulas in VLSI Material Optimization category

How to Evaluate Gate Length using Gate Oxide Capacitance?

FAQs on Gate Length using Gate Oxide Capacitance

Variable Name