Equivalent Large Signal Capacitance Calculator

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MOS Transistor Amplification Factor or Gain Biasing Common Mode Rejection Ratio (CMRR)Current Internal Capacitive Effects and High Frequency Model MOSFET Characterstics N Channel Enhancement P Channel Enhancement Resistance Small Signal Analysis Transconductance Voltage

✖Final Voltage refers to the voltage level achieved or measured at the conclusion of a particular process or event.ⓘ Final Voltage [V₂]			+10% -10%
✖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.ⓘ Initial Voltage [V₁]			+10% -10%
✖Junction Capacitance refers to the capacitance arising from the depletion region between the source/drain terminals and the substrate.ⓘ Junction Capacitance [C_j]			+10% -10%

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

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Formula

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Equivalent Large Signal Capacitance

Formula

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

Example

0.000549 F = (\frac{1}{6.135 nV - 5.42 nV}) \cdot \int (95009 F \cdot x, x, 5.42 nV, 6.135 nV)

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Equivalent Large Signal Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage)
C_eq = (1/(V₂-V₁))*int(C_j*x,x,V₁,V₂)
This formula uses 1 Functions, 4 Variables

Functions Used

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., int(expr, arg, from, to)

Variables Used

Equivalent Large Signal Capacitance - (Measured in Farad) - Equivalent Large Signal Capacitance is a simplified model used to represent the combined effect of the junction capacitances at low frequencies (large signal regime).
Final Voltage - (Measured in Volt) - Final Voltage refers to the voltage level achieved or measured at the conclusion of a particular process or event.
Initial Voltage - (Measured in Volt) - 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.
Junction Capacitance - (Measured in Farad) - Junction Capacitance refers to the capacitance arising from the depletion region between the source/drain terminals and the substrate.

STEP 1: Convert Input(s) to Base Unit

Final Voltage: 6.135 Nanovolt --> 6.135E-09 Volt (Check conversion here)
Initial Voltage: 5.42 Nanovolt --> 5.42E-09 Volt (Check conversion here)
Junction Capacitance: 95009 Farad --> 95009 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_eq = (1/(V₂-V₁))*int(C_j*x,x,V₁,V₂) --> (1/(6.135E-09-5.42E-09))*int(95009*x,x,5.42E-09,6.135E-09)

Evaluating ... ...

C_eq = 0.0005489144975

STEP 3: Convert Result to Output's Unit

0.0005489144975 Farad --> No Conversion Required

FINAL ANSWER

0.0005489144975 ≈ 0.000549 Farad <-- Equivalent Large Signal Capacitance

(Calculation completed in 00.004 seconds)

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Created by Vignesh Naidu

Vellore Institute of Technology (VIT), Vellore,Tamil Nadu

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Sidewall Voltage Equivalence Factor

Go 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)))

Fermi Potential for P Type

Go Fermi Potential for P Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Intrinsic Carrier Concentration/Doping Concentration of Acceptor)

Fermi Potential for N Type

Go Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration)

Equivalent Large Signal Junction Capacitance

Go Equivalent Large Signal Junction Capacitance = Perimeter of Sidewall*Sidewall Junction Capacitance*Sidewall Voltage Equivalence Factor

Zero Bias Sidewall Junction Capacitance per Unit Length

Go Sidewall Junction Capacitance = Zero Bias Sidewall Junction Potential*Depth of Sidewall

Equivalent Large Signal Capacitance Formula

Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage)
C_eq = (1/(V₂-V₁))*int(C_j*x,x,V₁,V₂)

What are the Applications of Equivalent Large Signal Capacitance ?

1. Circuit analysis and design: It simplifies calculations of charging and discharging times in MOSFET circuits, aiding in predicting switching speeds and transient behavior.

2. SPICE simulations: SPICE (Simulation Program with Integrated Circuit Emphasis) is a widely used software for circuit analysis. SPICE models for MOSFETs often include this as a parameter to represent the low-frequency capacitance.

How to Calculate Equivalent Large Signal Capacitance?

Equivalent Large Signal Capacitance calculator uses Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage) to calculate 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 calculate Equivalent Large Signal Capacitance using this online calculator? To use this online calculator for Equivalent Large Signal Capacitance, enter Final Voltage (V₂), Initial Voltage (V₁) & Junction Capacitance (C_j) and hit the calculate button. Here is how the Equivalent Large Signal Capacitance calculation can be explained with given input values -> 0.000549 = (1/(6.135E-09-5.42E-09))*int(95009*x,x,5.42E-09,6.135E-09).

FAQ

What is 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) and is represented as C_eq = (1/(V₂-V₁))*int(C_j*x,x,V₁,V₂) or Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage). Final Voltage refers to the voltage level achieved or measured at the conclusion of a particular process or event, 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 & Junction Capacitance refers to the capacitance arising from the depletion region between the source/drain terminals and the substrate.

How to calculate 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) is calculated using Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage). To calculate Equivalent Large Signal Capacitance, you need Final Voltage (V₂), Initial Voltage (V₁) & Junction Capacitance (C_j). With our tool, you need to enter the respective value for Final Voltage, Initial Voltage & Junction Capacitance 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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