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## Credits

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

## Energy Delay Product Solution

STEP 0: Pre-Calculation Summary
Formula Used
energy_delay_product = (Boltzmann constant*(Effective Capacitance in CMOS^2)*(Drain Voltage^3))/((Drain Voltage-Threshold voltage)^activity factor CMOS)
EDP = (kB*(Ceff^2)*(vds^3))/((vds-VT)^α)
This formula uses 5 Variables
Variables Used
Boltzmann constant- The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas
Effective Capacitance in CMOS - Effective Capacitance in CMOS (Measured in Farad)
Drain Voltage - Drain Voltage is the voltage that falls across the gate-source terminal of the transistor. (Measured in Volt)
Threshold voltage - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency. (Measured in Volt)
activity factor CMOS- activity factor CMOS the load capacitance is charged and stores energy during 3/16 of all input transitions. This fraction is called the activity factor or alpha
STEP 1: Convert Input(s) to Base Unit
Boltzmann constant: 1.380649 --> No Conversion Required
Effective Capacitance in CMOS: 2 Farad --> 2 Farad No Conversion Required
Drain Voltage: 8 Volt --> 8 Volt No Conversion Required
Threshold voltage: 50 Volt --> 50 Volt No Conversion Required
activity factor CMOS: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EDP = (kB*(Ceff^2)*(vds^3))/((vds-VT)^α) --> (1.380649*(2^2)*(8^3))/((8-50)^1)
Evaluating ... ...
EDP = -67.323075047619
STEP 3: Convert Result to Output's Unit
-67.323075047619 --> No Conversion Required
FINAL ANSWER
-67.323075047619 <-- Energy Delay Product
(Calculation completed in 00.016 seconds)

## < 10+ CMOS-VLSI Design Calculators

Drain Voltage
drain_voltage = sqrt(dynamic power/frequency*Capacitance) Go
Gate to Channel Voltage
gate_to_channel_voltage = (Channel Charge/Gate Capacitance)+Threshold voltage Go
Threshold Voltage
threshold_voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance) Go
Gate Capacitance
channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage) Go
Channel Charge
channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage) Go
Capacitor dynamic power
dynamic_power = Drain Voltage^2*frequency*Capacitance Go
Potential gate to Collector
potential_gate_to_collector = (Potential Gate to Source+Potential Gate to Drain)/2 Go
Potential Gate to Drain
potential_gate_to_drain = 2*potential gate to collector-Potential Gate to Source Go
Static Current
static_current = Static power/Drain Voltage Go
Static Power Dissipation
static_power = static current*Drain Voltage Go

### Energy Delay Product Formula

energy_delay_product = (Boltzmann constant*(Effective Capacitance in CMOS^2)*(Drain Voltage^3))/((Drain Voltage-Threshold voltage)^activity factor CMOS)
EDP = (kB*(Ceff^2)*(vds^3))/((vds-VT)^α)

## What is Minimum Energy Under a Delay Constraint?

The power consumption of the system is limited by battery or cooling considerations and the designer seeks to achieve minimum delay under an Power energy constraint.

## How to Calculate Energy Delay Product?

Energy Delay Product calculator uses energy_delay_product = (Boltzmann constant*(Effective Capacitance in CMOS^2)*(Drain Voltage^3))/((Drain Voltage-Threshold voltage)^activity factor CMOS) to calculate the Energy Delay Product, The Energy Delay Product(EDP) formula is defined as a popular metric that balances the importance of energy and delay. Energy Delay Product and is denoted by EDP symbol.

How to calculate Energy Delay Product using this online calculator? To use this online calculator for Energy Delay Product, enter Boltzmann constant (kB), Effective Capacitance in CMOS (Ceff), Drain Voltage (vds), Threshold voltage (VT) and activity factor CMOS (α) and hit the calculate button. Here is how the Energy Delay Product calculation can be explained with given input values -> -67.323075 = (1.380649*(2^2)*(8^3))/((8-50)^1).

### FAQ

What is Energy Delay Product?
The Energy Delay Product(EDP) formula is defined as a popular metric that balances the importance of energy and delay and is represented as EDP = (kB*(Ceff^2)*(vds^3))/((vds-VT)^α) or energy_delay_product = (Boltzmann constant*(Effective Capacitance in CMOS^2)*(Drain Voltage^3))/((Drain Voltage-Threshold voltage)^activity factor CMOS). The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas, Effective Capacitance in CMOS, Drain Voltage is the voltage that falls across the gate-source terminal of the transistor, Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency and activity factor CMOS the load capacitance is charged and stores energy during 3/16 of all input transitions. This fraction is called the activity factor or alpha.
How to calculate Energy Delay Product?
The Energy Delay Product(EDP) formula is defined as a popular metric that balances the importance of energy and delay is calculated using energy_delay_product = (Boltzmann constant*(Effective Capacitance in CMOS^2)*(Drain Voltage^3))/((Drain Voltage-Threshold voltage)^activity factor CMOS). To calculate Energy Delay Product, you need Boltzmann constant (kB), Effective Capacitance in CMOS (Ceff), Drain Voltage (vds), Threshold voltage (VT) and activity factor CMOS (α). With our tool, you need to enter the respective value for Boltzmann constant, Effective Capacitance in CMOS, Drain Voltage, Threshold voltage and activity factor CMOS 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 Energy Delay Product?
In this formula, Energy Delay Product uses Boltzmann constant, Effective Capacitance in CMOS, Drain Voltage, Threshold voltage and activity factor CMOS. We can use 10 other way(s) to calculate the same, which is/are as follows -
• dynamic_power = Drain Voltage^2*frequency*Capacitance
• drain_voltage = sqrt(dynamic power/frequency*Capacitance)
• static_power = static current*Drain Voltage
• static_current = Static power/Drain Voltage
• channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage)
• channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage)
• gate_to_channel_voltage = (Channel Charge/Gate Capacitance)+Threshold voltage
• threshold_voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)
• potential_gate_to_collector = (Potential Gate to Source+Potential Gate to Drain)/2
• potential_gate_to_drain = 2*potential gate to collector-Potential Gate to Source
Where is the Energy Delay Product calculator used?
Among many, Energy Delay Product calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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