Switching Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Switching Power = Activity Factor*(Capacitance*Base Collector Voltage^2*Frequency)
Ps = α*(C*Vbc^2*f)
This formula uses 5 Variables
Variables Used
Switching Power - (Measured in Watt) - Switching Power is called the dynamic power because it arises from the switching of the load.
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.
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
Activity Factor: 1.65 --> No Conversion Required
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
Ps = α*(C*Vbc^2*f) --> 1.65*(4.9E-06*2.02^2*4)
Evaluating ... ...
Ps = 0.000131960136
STEP 3: Convert Result to Output's Unit
0.000131960136 Watt -->0.131960136 Milliwatt (Check conversion here)
FINAL ANSWER
0.131960136 0.13196 Milliwatt <-- Switching Power
(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

Switching Power Formula

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

Explain 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. Static CMOS logic has been empirically determined to have activity factors closer to 0.1 because some gates maintain one output state more often than another and because real data inputs to some portions of a system often remain constant from one cycle to the next.

How to Calculate Switching Power?

Switching Power calculator uses Switching Power = Activity Factor*(Capacitance*Base Collector Voltage^2*Frequency) to calculate the Switching Power, The Switching Power formula is defined as the dynamic power that arises from the switching of the load. Switching Power is denoted by Ps symbol.

How to calculate Switching Power using this online calculator? To use this online calculator for Switching Power, enter Activity Factor (α), Capacitance (C), Base Collector Voltage (Vbc) & Frequency (f) and hit the calculate button. Here is how the Switching Power calculation can be explained with given input values -> 131.9601 = 1.65*(4.9E-06*2.02^2*4).

FAQ

What is Switching Power?
The Switching Power formula is defined as the dynamic power that arises from the switching of the load and is represented as Ps = α*(C*Vbc^2*f) or Switching Power = Activity Factor*(Capacitance*Base Collector Voltage^2*Frequency). 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, 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 Switching Power?
The Switching Power formula is defined as the dynamic power that arises from the switching of the load is calculated using Switching Power = Activity Factor*(Capacitance*Base Collector Voltage^2*Frequency). To calculate Switching Power, you need Activity Factor (α), Capacitance (C), Base Collector Voltage (Vbc) & Frequency (f). With our tool, you need to enter the respective value for Activity Factor, 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.
How many ways are there to calculate Switching Power?
In this formula, Switching Power uses Activity Factor, Capacitance, Base Collector Voltage & Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Switching Power = (Positive Voltage^2)*Frequency*Capacitance
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