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Activity Factor Formula

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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. Check FAQs

α = \frac{P s}{C \cdot {V bc}^{2} \cdot f}

α - Activity Factor?P_s - Switching Power?C - Capacitance?V_bc - Base Collector Voltage?f - Frequency?

Activity Factor Example

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Here is how the Activity Factor equation looks like with Values.

Here is how the Activity Factor equation looks like with Units.

Here is how the Activity Factor equation looks like.

1.6255 = \frac{0.13}{4.9 \cdot {2.02}^{2} \cdot 4}

1.6255 = \frac{0.13mW}{4.9μF \cdot {2.02V}^{2} \cdot 4Hz}

1.6255 = \frac{0.13}{4.9 \cdot {2.02}^{2} \cdot 4}

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Activity Factor Solution

Follow our step by step solution on how to calculate Activity Factor?

FIRST Step Consider the formula

α = \frac{P s}{C \cdot {V bc}^{2} \cdot f}

Next Step Substitute values of Variables

∴

α = \frac{0.13mW}{4.9μF \cdot {2.02V}^{2} \cdot 4Hz}

Next Step Convert Units

∴

α = \frac{0.0001W}{4.9E-6F \cdot {2.02V}^{2} \cdot 4Hz}

Next Step Prepare to Evaluate

∴

α = \frac{0.0001}{4.9E-6 \cdot {2.02}^{2} \cdot 4}

Next Step Evaluate

∴

α = 1.62549089825127

LAST Step Rounding Answer

∴

α = 1.6255

Activity Factor Formula Elements

Variables

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.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Activity Factor

Switching Power

Switching Power is called the dynamic power because it arises from the switching of the load.

Symbol: P_s

Measurement: PowerUnit: mW

Note: Value should be greater than 0.

Formulas to find Switching Power

Capacitance

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Capacitance

Base Collector Voltage

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.

Symbol: V_bc

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Base Collector Voltage

Frequency

Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Other formulas in CMOS Power Metrics category

Go Switching Power

P s = α \cdot (C \cdot {V bc}^{2} \cdot f)

Go Dynamic Power in CMOS

P dyn = P sc + P s

Go Short-Circuit Power in CMOS

P sc = P dyn - P s

Go Static Power in CMOS

P st = P t - P dyn

How to Evaluate Activity Factor?

Activity Factor evaluator uses Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency) to evaluate 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 evaluate Activity Factor using this online evaluator? To use this online evaluator for Activity Factor, enter Switching Power (P_s), Capacitance (C), Base Collector Voltage (V_bc) & Frequency (f) and hit the calculate button.

FAQs on Activity Factor

What is the formula to find Activity Factor?

The formula of Activity Factor is expressed as Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency). Here is an example- 623.9384 = 0.00013/(4.9E-06*2.02^2*4).

How to calculate Activity Factor?

With Switching Power (P_s), Capacitance (C), Base Collector Voltage (V_bc) & Frequency (f) we can find Activity Factor using the formula - Activity Factor = Switching Power/(Capacitance*Base Collector Voltage^2*Frequency).

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Activity Factor Formula

Activity Factor Example

Activity Factor Solution

Activity Factor Formula Elements

Other formulas in CMOS Power Metrics category

How to Evaluate Activity Factor?

FAQs on Activity Factor

Variable Name