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Equivalent Large Signal Capacitance Formula

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Equivalent Large Signal Capacitance is a simplified model used to represent the combined effect of the junction capacitances at low frequencies (large signal regime). Check FAQs

C eq = (\frac{1}{V 2 - V 1}) \cdot \int (C j \cdot x, x, V 1, V 2)

C_eq - Equivalent Large Signal Capacitance?V₂ - Final Voltage?V₁ - Initial Voltage?C_j - Junction Capacitance?

Equivalent Large Signal Capacitance Example

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Here is how the Equivalent Large Signal Capacitance equation looks like with Values.

Here is how the Equivalent Large Signal Capacitance equation looks like with Units.

Here is how the Equivalent Large Signal Capacitance equation looks like.

0.0005 = (\frac{1}{6.135 - 5.42}) \cdot \int (95009 \cdot x, x, 5.42, 6.135)

0.0005F = (\frac{1}{6.135nV - 5.42nV}) \cdot \int (95009F \cdot x, x, 5.42nV, 6.135nV)

0.0005 = (\frac{1}{6.135 - 5.42}) \cdot \int (95009 \cdot x, x, 5.42, 6.135)

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Equivalent Large Signal Capacitance Solution

Follow our step by step solution on how to calculate Equivalent Large Signal Capacitance?

FIRST Step Consider the formula

C eq = (\frac{1}{V 2 - V 1}) \cdot \int (C j \cdot x, x, V 1, V 2)

Next Step Substitute values of Variables

∴

C eq = (\frac{1}{6.135nV - 5.42nV}) \cdot \int (95009F \cdot x, x, 5.42nV, 6.135nV)

Next Step Convert Units

∴

C eq = (\frac{1}{6.1E-9V - 5.4E-9V}) \cdot \int (95009F \cdot x, x, 5.4E-9V, 6.1E-9V)

Next Step Prepare to Evaluate

∴

C eq = (\frac{1}{6.1E-9 - 5.4E-9}) \cdot \int (95009 \cdot x, x, 5.4E-9, 6.1E-9)

Next Step Evaluate

∴

C eq = 0.0005489144975F

LAST Step Rounding Answer

∴

C eq = 0.0005F

Equivalent Large Signal Capacitance Formula Elements

Variables

Functions

Equivalent Large Signal Capacitance

Equivalent Large Signal Capacitance is a simplified model used to represent the combined effect of the junction capacitances at low frequencies (large signal regime).

Symbol: C_eq

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Equivalent Large Signal Capacitance

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

Junction Capacitance

Junction Capacitance refers to the capacitance arising from the depletion region between the source/drain terminals and the substrate.

Symbol: C_j

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Junction Capacitance

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

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 Sidewall Voltage Equivalence Factor

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

How to Evaluate Equivalent Large Signal Capacitance?

Equivalent Large Signal Capacitance evaluator uses Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage) to evaluate the Equivalent Large Signal Capacitance, The Equivalent Large Signal Capacitance formula is defined as a simplified model used to represent the combined effect of the junction capacitances at low frequencies (large signal regime). Equivalent Large Signal Capacitance is denoted by C_eq symbol.

How to evaluate Equivalent Large Signal Capacitance using this online evaluator? To use this online evaluator for Equivalent Large Signal Capacitance, enter Final Voltage (V₂), Initial Voltage (V₁) & Junction Capacitance (C_j) and hit the calculate button.

FAQs on Equivalent Large Signal Capacitance

What is the formula to find Equivalent Large Signal Capacitance?

The formula of Equivalent Large Signal Capacitance is expressed as Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage). Here is an example- 0.000549 = (1/(6.135E-09-5.42E-09))*int(95009*x,x,5.42E-09,6.135E-09).

How to calculate Equivalent Large Signal Capacitance?

With Final Voltage (V₂), Initial Voltage (V₁) & Junction Capacitance (C_j) we can find Equivalent Large Signal Capacitance using the formula - Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage). This formula also uses Definite Integral (int) function(s).

Can the Equivalent Large Signal Capacitance be negative?

Yes, the Equivalent Large Signal Capacitance, measured in Capacitance can be negative.

Which unit is used to measure Equivalent Large Signal Capacitance?

Equivalent Large Signal Capacitance is usually measured using the Farad[F] for Capacitance. Kilofarad[F], Millifarad[F], Microfarad[F] are the few other units in which Equivalent Large Signal Capacitance can be measured.

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