Capacitance Offpath Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath
Coffpath = Ct-Conpath
This formula uses 3 Variables
Variables Used
Capacitance Offpath - (Measured in Farad) - Capacitance Offpath is defined as the capacitance of the off-path capacitance of the logic gate.
Total Capacitance in Stage - (Measured in Farad) - Total capacitance in stage is defined as the total capacitance of the stage of on and off.
Capacitance Onpath - (Measured in Farad) - Capacitance Onpath is defined as the capacitance along the analyzing path.
STEP 1: Convert Input(s) to Base Unit
Total Capacitance in Stage: 12.2 Picofarad --> 1.22E-11 Farad (Check conversion ​here)
Capacitance Onpath: 3.2 Picofarad --> 3.2E-12 Farad (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Coffpath = Ct-Conpath --> 1.22E-11-3.2E-12
Evaluating ... ...
Coffpath = 9E-12
STEP 3: Convert Result to Output's Unit
9E-12 Farad -->9 Picofarad (Check conversion ​here)
FINAL ANSWER
9 Picofarad <-- Capacitance Offpath
(Calculation completed in 00.004 seconds)

Credits

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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

Capacitance Offpath Formula

Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath
Coffpath = Ct-Conpath

What is branching effort?

Branching effort is a kind of effort to account for branching between stages of a path. This branching effort b is the ratio of the total capacitance seen by a stage to the capacitance on the path. Also it is the product of the branching efforts between stages.

How to Calculate Capacitance Offpath?

Capacitance Offpath calculator uses Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath to calculate the Capacitance Offpath, The Capacitance Offpath formula is defined as the capacitance of the off-path capacitance of the logic gate. Capacitance Offpath is denoted by Coffpath symbol.

How to calculate Capacitance Offpath using this online calculator? To use this online calculator for Capacitance Offpath, enter Total Capacitance in Stage (Ct) & Capacitance Onpath (Conpath) and hit the calculate button. Here is how the Capacitance Offpath calculation can be explained with given input values -> 8.8E+12 = 1.22E-11-3.2E-12.

FAQ

What is Capacitance Offpath?
The Capacitance Offpath formula is defined as the capacitance of the off-path capacitance of the logic gate and is represented as Coffpath = Ct-Conpath or Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath. Total capacitance in stage is defined as the total capacitance of the stage of on and off & Capacitance Onpath is defined as the capacitance along the analyzing path.
How to calculate Capacitance Offpath?
The Capacitance Offpath formula is defined as the capacitance of the off-path capacitance of the logic gate is calculated using Capacitance Offpath = Total Capacitance in Stage-Capacitance Onpath. To calculate Capacitance Offpath, you need Total Capacitance in Stage (Ct) & Capacitance Onpath (Conpath). With our tool, you need to enter the respective value for Total Capacitance in Stage & Capacitance Onpath 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 Capacitance Offpath?
In this formula, Capacitance Offpath uses Total Capacitance in Stage & Capacitance Onpath. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Capacitance Offpath = Capacitance Onpath*(Branching Effort-1)
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