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Gate Capacitance Formula

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

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

C_g - Gate Capacitance?Q_ch - Channel Charge?V_gc - Gate to Channel Voltage?V_t - Threshold Voltage?

Gate Capacitance Example

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

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

Here is how the Gate Capacitance equation looks like.

59.6036 = \frac{0.4}{7.011 - 0.3}

59.6036μF = \frac{0.4mC}{7.011V - 0.3V}

59.6036 = \frac{0.4}{7.011 - 0.3}

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Gate Capacitance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C g = \frac{0.4mC}{7.011V - 0.3V}

Next Step Convert Units

∴

C g = \frac{0.0004C}{7.011V - 0.3V}

Next Step Prepare to Evaluate

∴

C g = \frac{0.0004}{7.011 - 0.3}

Next Step Evaluate

∴

C g = 5.96036358217851E-05F

Next Step Convert to Output's Unit

∴

C g = 59.6036358217851μF

LAST Step Rounding Answer

∴

C g = 59.6036μF

Gate Capacitance Formula Elements

Variables

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

Channel Charge

Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field.

Symbol: Q_ch

Measurement: Electric ChargeUnit: mC

Note: Value can be positive or negative.

Formulas to find Channel Charge

Gate to Channel Voltage

Gate to Channel Voltage is defined as the drain-source on-state resistance is larger than rated value when gate voltage is around threshold voltage.

Symbol: V_gc

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Gate to Channel Voltage

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

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 Capacitance?

Gate Capacitance evaluator uses Gate Capacitance = Channel Charge/(Gate to Channel Voltage-Threshold Voltage) to evaluate the Gate Capacitance, The Gate Capacitance formula is defined as the capacitance of the gate terminal of a field-effect transistor. It can be expressed as the absolute capacitance of the gate of a transistor, or as the capacitance per unit area of an integrated circuit technology, or as the capacitance per unit width of minimum-length transistors in a technology. Gate Capacitance is denoted by C_g symbol.

How to evaluate Gate Capacitance using this online evaluator? To use this online evaluator for Gate Capacitance, enter Channel Charge (Q_ch), Gate to Channel Voltage (V_gc) & Threshold Voltage (V_t) and hit the calculate button.

FAQs on Gate Capacitance

What is the formula to find Gate Capacitance?

The formula of Gate Capacitance is expressed as Gate Capacitance = Channel Charge/(Gate to Channel Voltage-Threshold Voltage). Here is an example- 6E+7 = 0.0004/(7.011-0.3).

How to calculate Gate Capacitance?

With Channel Charge (Q_ch), Gate to Channel Voltage (V_gc) & Threshold Voltage (V_t) we can find Gate Capacitance using the formula - Gate Capacitance = Channel Charge/(Gate to Channel Voltage-Threshold Voltage).

Can the Gate Capacitance be negative?

No, the Gate Capacitance, measured in Capacitance cannot be negative.

Which unit is used to measure Gate Capacitance?

Gate Capacitance is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Gate Capacitance can be measured.

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Gate Capacitance Formula

Gate Capacitance Example

Gate Capacitance Solution

Gate Capacitance Formula Elements

Other formulas in VLSI Material Optimization category

How to Evaluate Gate Capacitance?

FAQs on Gate Capacitance

Variable Name