Branching Effort Solution

STEP 0: Pre-Calculation Summary
Formula Used
Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath
b = (Conpath+Coffpath)/Conpath
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 = (Conpath+Coffpath)/Conpath --> (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)

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
Capacitance Onpath
Go Capacitance Onpath = Total Capacitance in Stage-Capacitance Offpath
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
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
Time Constant Ratio of Agression to Victim
Go Time Constant Ratio = Agression Time Constant/Victim Time Constant
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
Static Current
Go Static Current = Static Power/Base Collector 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

Branching Effort Formula

Branching Effort = (Capacitance Onpath+Capacitance Offpath)/Capacitance Onpath
b = (Conpath+Coffpath)/Conpath

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 (Conpath) & Capacitance Offpath (Coffpath) 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 = (Conpath+Coffpath)/Conpath 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 (Conpath) & Capacitance Offpath (Coffpath). 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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