Activity Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency)
α = Ps/(C*Vbc^2*f)
This formula uses 5 Variables
Variables Used
Activity Factor - The Activity factor is defined as the load capacitance which is charged and stores energy during 3/16 of all input transitions. This fraction is called the activity factor or alpha.
Switching Power - (Measured in Watt) - Switching Power is called the dynamic power because it arises from the switching of the load.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Base Collector Voltage - (Measured in Volt) - Base Collector Voltage is a crucial parameter in transistor biasing. It refers to the voltage difference between the base and collector terminals of the transistor when it is in its active state.
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
STEP 1: Convert Input(s) to Base Unit
Switching Power: 0.13 Milliwatt --> 0.00013 Watt (Check conversion here)
Capacitance: 4.9 Microfarad --> 4.9E-06 Farad (Check conversion here)
Base Collector Voltage: 2.02 Volt --> 2.02 Volt No Conversion Required
Frequency: 4 Hertz --> 4 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = Ps/(C*Vbc^2*f) --> 0.00013/(4.9E-06*2.02^2*4)
Evaluating ... ...
α = 1.62549089825127
STEP 3: Convert Result to Output's Unit
1.62549089825127 --> No Conversion Required
FINAL ANSWER
1.62549089825127 1.625491 <-- Activity Factor
(Calculation completed in 00.020 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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17 CMOS Power Metrics Calculators

Gates on Critical Path
Go Gates on Critical Path = Duty Cycle*(Off Current*(10^Base Collector Voltage))/(Capacitance of Gate to Channel*[BoltZ]*Base Collector Voltage)
Subthreshold Leakage through OFF Transistors
Go Subthreshold Current = (CMOS Static Power/Base Collector Voltage)-(Gate Current+Contention Current+Junction Current)
Contention Current in Ratioed Circuits
Go Contention Current = (CMOS Static Power/Base Collector Voltage)-(Subthreshold Current+Gate Current+Junction Current)
Gate Leakage through Gate Dielectric
Go Gate Current = (CMOS Static Power/Base Collector Voltage)-(Subthreshold Current+Contention Current+Junction Current)
Output Switching at Load Power Consumption
Go Output Switching = Capacitive Load Power Consumption/(External Load Capacitance*Supply Voltage^2*Output Signal Frequency)
Capacitive Load Power Consumption
Go Capacitive Load Power Consumption = External Load Capacitance*Supply Voltage^2*Output Signal Frequency*Output Switching
Activity Factor
Go Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency)
Switching Power
Go Switching Power = Activity Factor*(Capacitance*Base Collector Voltage^2*Frequency)
Power Supply Rejection Ratio
Go Power Supply Rejection Ratio = 20*log10(Input Voltage Ripple/Output Voltage Ripple)
Switching Power in CMOS
Go Switching Power = (Positive Voltage^2)*Frequency*Capacitance
Switching Energy in CMOS
Go Switching Energy in CMOS = Total Energy in CMOS-Leakage Energy in CMOS
Leakage Energy in CMOS
Go Leakage Energy in CMOS = Total Energy in CMOS-Switching Energy in CMOS
Total Energy in CMOS
Go Total Energy in CMOS = Switching Energy in CMOS+Leakage Energy in CMOS
Short-Circuit Power in CMOS
Go Short-Circuit Power = Dynamic Power-Switching Power
Dynamic Power in CMOS
Go Dynamic Power = Short-Circuit Power+Switching Power
Total Power in CMOS
Go Total Power = CMOS Static Power+Dynamic Power
Static Power in CMOS
Go CMOS Static Power = Total Power-Dynamic Power

Activity Factor Formula

Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency)
α = Ps/(C*Vbc^2*f)

What is the range of activity factor?

The activity factor is the probability that the circuit node transitions from 0 to 1, because that is the only time the circuit consumes power. A clock has an activity factor of F = 1 because it rises and falls every cycle. Most data has a maximum activity factor of 0.5
because it transitions only once each cycle. Truly random data has an activity factor of 0.25 because it transitions every other cycle.

How to Calculate Activity Factor?

Activity Factor calculator uses Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency) to calculate the Activity Factor, The Activity factor formula is defined as the load capacitance which is charged and stores energy during 3/16 of all input transitions. This fraction is called the activity factor or alpha. Activity Factor is denoted by α symbol.

How to calculate Activity Factor using this online calculator? To use this online calculator for Activity Factor, enter Switching Power (Ps), Capacitance (C), Base Collector Voltage (Vbc) & Frequency (f) and hit the calculate button. Here is how the Activity Factor calculation can be explained with given input values -> 623.9384 = 0.00013/(4.9E-06*2.02^2*4).

FAQ

What is Activity Factor?
The Activity factor formula is defined as the load capacitance which is charged and stores energy during 3/16 of all input transitions. This fraction is called the activity factor or alpha and is represented as α = Ps/(C*Vbc^2*f) or Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency). Switching Power is called the dynamic power because it arises from the switching of the load, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Base Collector Voltage is a crucial parameter in transistor biasing. It refers to the voltage difference between the base and collector terminals of the transistor when it is in its active state & Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
How to calculate Activity Factor?
The Activity factor formula is defined as the load capacitance which is charged and stores energy during 3/16 of all input transitions. This fraction is called the activity factor or alpha is calculated using Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency). To calculate Activity Factor, you need Switching Power (Ps), Capacitance (C), Base Collector Voltage (Vbc) & Frequency (f). With our tool, you need to enter the respective value for Switching Power, Capacitance, Base Collector Voltage & Frequency 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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