Branching Effort Calculator

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✖Capacitance Onpath is defined as the capacitance along the analyzing path.ⓘ Capacitance Onpath [C_onpath]			+10% -10%
✖Capacitance Offpath is defined as the capacitance of the off-path capacitance of the logic gate.ⓘ Capacitance Offpath [C_offpath]			+10% -10%

✖Branching Effort current is directed along the path we are analyzing, and some is directed off that path.ⓘ Branching Effort [b]

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Branching Effort

Formula

`"b" = ("C"_{"onpath"}+"C"_{"offpath"})/"C"_{"onpath"}`

Example

`"3.8125"=("3.2pF"+"9pF")/"3.2pF"`

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Branching Effort Solution

STEP 0: Pre-Calculation Summary

Formula Used

Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath
b = (C_onpath+C_offpath)/C_onpath
This formula uses 3 Variables

Variables Used

Branching Effort - Branching Effort current is directed along the path we are analyzing, and some is directed off that path.
Capacitance Onpath - (Measured in Picofarad) - Capacitance Onpath is defined as the capacitance along the analyzing path.
Capacitance Offpath - (Measured in Picofarad) - Capacitance Offpath is defined as the capacitance of the off-path capacitance of the logic gate.

STEP 1: Convert Input(s) to Base Unit

Capacitance Onpath: 3.2 Picofarad --> 3.2 Picofarad No Conversion Required
Capacitance Offpath: 9 Picofarad --> 9 Picofarad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (C_onpath+C_offpath)/C_onpath --> (3.2+9)/3.2

Evaluating ... ...

b = 3.8125

STEP 3: Convert Result to Output's Unit

3.8125 --> No Conversion Required

FINAL ANSWER

3.8125 <-- Branching Effort

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

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

Branching Effort Formula

Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath
b = (C_onpath+C_offpath)/C_onpath

What is the significance of logical effort?

Logical effort provides a systematic way to analyze and optimize the speed of digital circuits while considering the impact of gate sizing, fanout, and technology scaling. It's a valuable tool for digital circuit designers to achieve the desired balance between performance, area, and power consumption in modern integrated circuits.

How to Calculate Branching Effort?

Branching Effort calculator uses Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath to calculate the Branching Effort, Branching effort refers to the additional challenges and complexities introduced in the design due to branching paths in the circuit. Branching Effort is denoted by b symbol.

How to calculate Branching Effort using this online calculator? To use this online calculator for Branching Effort, enter Capacitance Onpath (C_onpath) & Capacitance Offpath (C_offpath) and hit the calculate button. Here is how the Branching Effort calculation can be explained with given input values -> 3.8125 = (3.2E-12+9E-12)/3.2E-12.

FAQ

What is Branching Effort?

Branching effort refers to the additional challenges and complexities introduced in the design due to branching paths in the circuit and is represented as b = (C_onpath+C_offpath)/C_onpath or Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath. Capacitance Onpath is defined as the capacitance along the analyzing path & Capacitance Offpath is defined as the capacitance of the off-path capacitance of the logic gate.

How to calculate Branching Effort?

Branching effort refers to the additional challenges and complexities introduced in the design due to branching paths in the circuit is calculated using Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath. To calculate Branching Effort, you need Capacitance Onpath (C_onpath) & Capacitance Offpath (C_offpath). With our tool, you need to enter the respective value for Capacitance Onpath & Capacitance Offpath 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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