Ground to Agression Capacitance Calculator

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CMOS Design Characteristics

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✖Victim Driver refers to a type of electronic component that acts as an amplifier or attenuator to amplify or reduce the input signal.ⓘ Victim Driver [R_vi]			+10% -10%
✖Time Constant Ratio is defined as the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system.ⓘ Time Constant Ratio [k]			+10% -10%
✖Ground Capacitance is the capacitance at the ground of the CMOS Circuit.ⓘ Ground Capacitance [C_gnd]			+10% -10%
✖Agression Driver is defined as the resistance experienced by the voltage around the agression driver.ⓘ Agression Driver [R_agr]			+10% -10%
✖Ground A Capacitance is a measure of the ability of a grounding system to dissipate charge. It is defined as the ratio of the charge stored in the ground to the resulting voltage change.ⓘ Ground A Capacitance [C_ga]			+10% -10%

✖Adjacent capacitance is the capacitance at adjacent point.ⓘ Ground to Agression Capacitance [C_adj]

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Formula

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Ground to Agression Capacitance

Formula

`"C"_{"adj"} = (("R"_{"vi"}*"k"*"C"_{"gnd"})-("R"_{"agr"}*"C"_{"ga"}))/("R"_{"agr"}-"R"_{"vi"}*"k")`

Example

`"8.829426pF"=(("1.98"*"0.62"*"2.98pF")-("1.13"*"4pF"))/("1.13"-"1.98"*"0.62")`

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Download CMOS Design Characteristics Formulas PDF

Ground to Agression Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Adjacent Capacitance = ((Victim Driver*Time Constant Ratio*Ground Capacitance)-(Agression Driver*Ground A Capacitance))/(Agression Driver-Victim Driver*Time Constant Ratio)
C_adj = ((R_vi*k*C_gnd)-(R_agr*C_ga))/(R_agr-R_vi*k)
This formula uses 6 Variables

Variables Used

Adjacent Capacitance - (Measured in Farad) - Adjacent capacitance is the capacitance at adjacent point.
Victim Driver - Victim Driver refers to a type of electronic component that acts as an amplifier or attenuator to amplify or reduce the input signal.
Time Constant Ratio - Time Constant Ratio is defined as the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system.
Ground Capacitance - (Measured in Farad) - Ground Capacitance is the capacitance at the ground of the CMOS Circuit.
Agression Driver - Agression Driver is defined as the resistance experienced by the voltage around the agression driver.
Ground A Capacitance - (Measured in Farad) - Ground A Capacitance is a measure of the ability of a grounding system to dissipate charge. It is defined as the ratio of the charge stored in the ground to the resulting voltage change.

STEP 1: Convert Input(s) to Base Unit

Victim Driver: 1.98 --> No Conversion Required
Time Constant Ratio: 0.62 --> No Conversion Required
Ground Capacitance: 2.98 Picofarad --> 2.98E-12 Farad (Check conversion here)
Agression Driver: 1.13 --> No Conversion Required
Ground A Capacitance: 4 Picofarad --> 4E-12 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_adj = ((R_vi*k*C_gnd)-(R_agr*C_ga))/(R_agr-R_vi*k) --> ((1.98*0.62*2.98E-12)-(1.13*4E-12))/(1.13-1.98*0.62)

Evaluating ... ...

C_adj = 8.82942622950818E-12

STEP 3: Convert Result to Output's Unit

8.82942622950818E-12 Farad -->8.82942622950818 Picofarad (Check conversion here)

FINAL ANSWER

8.82942622950818 ≈ 8.829426 Picofarad <-- Adjacent Capacitance

(Calculation completed in 00.004 seconds)

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< 24 CMOS Design Characteristics Calculators

Ground to Agression Capacitance

Go Adjacent Capacitance = ((Victim Driver*Time Constant Ratio*Ground Capacitance)-(Agression Driver*Ground A Capacitance))/(Agression Driver-Victim Driver*Time Constant Ratio)

Victim Driver

Go Victim Driver = (Agression Driver*(Ground A Capacitance+Adjacent Capacitance))/(Time Constant Ratio*(Adjacent Capacitance+Ground Capacitance))

Agression Driver

Go Agression Driver = (Victim Driver*Time Constant Ratio*(Adjacent Capacitance+Ground Capacitance))/(Ground A Capacitance+Adjacent Capacitance)

Thermal Voltage of CMOS

Go Thermal Voltage = Built-in Potential/ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Electron Concentration^2))

Built-in Potential

Go Built-in Potential = Thermal Voltage*ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Electron Concentration^2))

Agressor Voltage

Go Agressor Voltage = (Victim Voltage*(Ground Capacitance+Adjacent Capacitance))/Adjacent Capacitance

Victim Voltage

Go Victim Voltage = (Agressor Voltage*Adjacent Capacitance)/(Ground Capacitance+Adjacent Capacitance)

Adjacent Capacitance

Go Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage)

Branching Effort

Go Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath

Output Clock Phase

Go Output Clock Phase = 2*pi*VCO Control Voltage*VCO Gain

Total Capacitance Seen by Stage

Go Total Capacitance in Stage = Capacitance Onpath+Capacitance Offpath

Capacitance Offpath

Go Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath

Capacitance Onpath

Go Capacitance Onpath = Total Capacitance in Stage-Capacitance Offpath

Time Constant Ratio of Agression to Victim

Go Time Constant Ratio = Agression Time Constant/Victim Time Constant

Agression Time Constant

Go Agression Time Constant = Time Constant Ratio*Victim Time Constant

Victim Time Constant

Go Victim Time Constant = Agression Time Constant/Time Constant Ratio

Off-Path Capacitance of CMOS

Go Capacitance Offpath = Capacitance Onpath*(Branching Effort-1)

Change in Frequency Clock

Go Change in Frequency of Clock = VCO Gain*VCO Control Voltage

VCO Single Gain Factor

Go VCO Gain = Change in Frequency of Clock/VCO Control Voltage

VCO Control Voltage

Go VCO Control Voltage = Lock Voltage+VCO Offset Voltage

VCO Offset Voltage

Go VCO Offset Voltage = VCO Control Voltage-Lock Voltage

Lock Voltage

Go Lock Voltage = VCO Control Voltage-VCO Offset Voltage

Static Power Dissipation

Go Static Power = Static Current*Base Collector Voltage

Static Current

Go Static Current = Static Power/Base Collector Voltage

Ground to Agression Capacitance Formula

What are the applications of Agression Capacitance?

Applications of aggression capacitance in CMOS include power-gated logic, leakage-tolerant designs, and low-power memory. By using aggression capacitance, designers can create more power-efficient electronic systems that require less energy to perform their intended functions.

How to Calculate Ground to Agression Capacitance?

Ground to Agression Capacitance calculator uses Adjacent Capacitance = ((Victim Driver*Time Constant Ratio*Ground Capacitance)-(Agression Driver*Ground A Capacitance))/(Agression Driver-Victim Driver*Time Constant Ratio) to calculate the Adjacent Capacitance, The Ground to Agression capacitance formula is defined as the capacitance experienced by agression driver. Adjacent Capacitance is denoted by C_adj symbol.

How to calculate Ground to Agression Capacitance using this online calculator? To use this online calculator for Ground to Agression Capacitance, enter Victim Driver (R_vi), Time Constant Ratio (k), Ground Capacitance (C_gnd), Agression Driver (R_agr) & Ground A Capacitance (C_ga) and hit the calculate button. Here is how the Ground to Agression Capacitance calculation can be explained with given input values -> 8.6E+12 = ((1.98*0.62*2.98E-12)-(1.13*4E-12))/(1.13-1.98*0.62).

FAQ

What is Ground to Agression Capacitance?

The Ground to Agression capacitance formula is defined as the capacitance experienced by agression driver and is represented as C_adj = ((R_vi*k*C_gnd)-(R_agr*C_ga))/(R_agr-R_vi*k) or Adjacent Capacitance = ((Victim Driver*Time Constant Ratio*Ground Capacitance)-(Agression Driver*Ground A Capacitance))/(Agression Driver-Victim Driver*Time Constant Ratio). Victim Driver refers to a type of electronic component that acts as an amplifier or attenuator to amplify or reduce the input signal, Time Constant Ratio is defined as the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system, Ground Capacitance is the capacitance at the ground of the CMOS Circuit, Agression Driver is defined as the resistance experienced by the voltage around the agression driver & Ground A Capacitance is a measure of the ability of a grounding system to dissipate charge. It is defined as the ratio of the charge stored in the ground to the resulting voltage change.

How to calculate Ground to Agression Capacitance?

The Ground to Agression capacitance formula is defined as the capacitance experienced by agression driver is calculated using Adjacent Capacitance = ((Victim Driver*Time Constant Ratio*Ground Capacitance)-(Agression Driver*Ground A Capacitance))/(Agression Driver-Victim Driver*Time Constant Ratio). To calculate Ground to Agression Capacitance, you need Victim Driver (R_vi), Time Constant Ratio (k), Ground Capacitance (C_gnd), Agression Driver (R_agr) & Ground A Capacitance (C_ga). With our tool, you need to enter the respective value for Victim Driver, Time Constant Ratio, Ground Capacitance, Agression Driver & Ground A Capacitance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Adjacent Capacitance?

In this formula, Adjacent Capacitance uses Victim Driver, Time Constant Ratio, Ground Capacitance, Agression Driver & Ground A Capacitance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage)

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