Adjacent Capacitance Calculator

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✖Victim Voltage is calculated when the victim being actively driven, then the driver will supply current to oppose to reduce the victim's noise.ⓘ Victim Voltage [V_tm]			+10% -10%
✖Ground Capacitance is the capacitance at the ground of the CMOS Circuit.ⓘ Ground Capacitance [C_gnd]			+10% -10%
✖Agressor Voltage refers to the avoided voltage in a CMOS circuit, which is typically a small positive voltage added to the input signal to avoid unwanted triggering of the circuit.ⓘ Agressor Voltage [V_agr]			+10% -10%

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

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Formula

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Adjacent Capacitance

Formula

`"C"_{"adj"} = ("V"_{"tm"}*"C"_{"gnd"})/("V"_{"agr"}-"V"_{"tm"})`

Example

`"7.998947pF"=("12.75V"*"2.98pF")/("17.5V"-"12.75V")`

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Adjacent Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage)
C_adj = (V_tm*C_gnd)/(V_agr-V_tm)
This formula uses 4 Variables

Variables Used

Adjacent Capacitance - (Measured in Farad) - Adjacent capacitance is the capacitance at adjacent point.
Victim Voltage - (Measured in Volt) - Victim Voltage is calculated when the victim being actively driven, then the driver will supply current to oppose to reduce the victim's noise.
Ground Capacitance - (Measured in Farad) - Ground Capacitance is the capacitance at the ground of the CMOS Circuit.
Agressor Voltage - (Measured in Volt) - Agressor Voltage refers to the avoided voltage in a CMOS circuit, which is typically a small positive voltage added to the input signal to avoid unwanted triggering of the circuit.

STEP 1: Convert Input(s) to Base Unit

Victim Voltage: 12.75 Volt --> 12.75 Volt No Conversion Required
Ground Capacitance: 2.98 Picofarad --> 2.98E-12 Farad (Check conversion here)
Agressor Voltage: 17.5 Volt --> 17.5 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_adj = (V_tm*C_gnd)/(V_agr-V_tm) --> (12.75*2.98E-12)/(17.5-12.75)

Evaluating ... ...

C_adj = 7.99894736842105E-12

STEP 3: Convert Result to Output's Unit

7.99894736842105E-12 Farad -->7.99894736842105 Picofarad (Check conversion here)

FINAL ANSWER

7.99894736842105 ≈ 7.998947 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

Adjacent Capacitance Formula

Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage)
C_adj = (V_tm*C_gnd)/(V_agr-V_tm)

How does noise vary with victim and the aggressor?

Suppose wire A switches while B is supposed to remain constant. This introduces noise as B partially switches. We call A the aggressor or perpetrator and B the victim. t when the victim is floating, the noise remains indefinitely. When the victim is driven, the driver restores the victim. Larger (faster) drivers oppose the coupling sooner and result in noise that is a smaller percentage of the supply voltage. Note that during the noise event the victim transistor is in its linear region while the aggressor is in saturation. For equal-sized drivers, this means Raggressor is two to four times Rvictim, with greater ratios arising from more velocity saturation.

How to Calculate Adjacent Capacitance?

Adjacent Capacitance calculator uses Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage) to calculate the Adjacent Capacitance, The Adjacent capacitance formula is defined as the capacitance that is adjacent to the node Ae wire A switches while B is supposed to remain constant. Adjacent Capacitance is denoted by C_adj symbol.

How to calculate Adjacent Capacitance using this online calculator? To use this online calculator for Adjacent Capacitance, enter Victim Voltage (V_tm), Ground Capacitance (C_gnd) & Agressor Voltage (V_agr) and hit the calculate button. Here is how the Adjacent Capacitance calculation can be explained with given input values -> 8.1E+12 = (12.75*2.98E-12)/(17.5-12.75).

FAQ

What is Adjacent Capacitance?

The Adjacent capacitance formula is defined as the capacitance that is adjacent to the node Ae wire A switches while B is supposed to remain constant and is represented as C_adj = (V_tm*C_gnd)/(V_agr-V_tm) or Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage). Victim Voltage is calculated when the victim being actively driven, then the driver will supply current to oppose to reduce the victim's noise, Ground Capacitance is the capacitance at the ground of the CMOS Circuit & Agressor Voltage refers to the avoided voltage in a CMOS circuit, which is typically a small positive voltage added to the input signal to avoid unwanted triggering of the circuit.

How to calculate Adjacent Capacitance?

The Adjacent capacitance formula is defined as the capacitance that is adjacent to the node Ae wire A switches while B is supposed to remain constant is calculated using Adjacent Capacitance = (Victim Voltage*Ground Capacitance)/(Agressor Voltage-Victim Voltage). To calculate Adjacent Capacitance, you need Victim Voltage (V_tm), Ground Capacitance (C_gnd) & Agressor Voltage (V_agr). With our tool, you need to enter the respective value for Victim Voltage, Ground Capacitance & Agressor Voltage 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 Voltage, Ground Capacitance & Agressor Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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