## Average Power Dissipated over Period of Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken)
Pavg = (1/ttotal)*int(Vt*it,x,0,ttotal)
This formula uses 1 Functions, 5 Variables
Functions Used
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)
Variables Used
Average Power - (Measured in Watt) - Average Power refers to the rate at which energy is transferred or work is done, on average, over a certain period of time.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Voltage - (Measured in Volt) - Voltage represents the electrical pressure that pushes electric current through a conductor.
Current - (Measured in Ampere) - Current signifies the rate of flow of electric charge through a conductor.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
STEP 1: Convert Input(s) to Base Unit
Total Time Taken: 80 Second --> 80 Second No Conversion Required
Voltage: 4.565 Volt --> 4.565 Volt No Conversion Required
Current: 4.123 Ampere --> 4.123 Ampere No Conversion Required
Total Time Taken: 80 Second --> 80 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pavg = (1/ttotal)*int(Vt*it,x,0,ttotal) --> (1/80)*int(4.565*4.123,x,0,80)
Evaluating ... ...
Pavg = 18.821495
STEP 3: Convert Result to Output's Unit
18.821495 Watt --> No Conversion Required
18.821495 โ 18.8215 Watt <-- Average Power
(Calculation completed in 00.004 seconds)
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Created by Vignesh Naidu
Vellore Institute of Technology (VIT), Vellore,Tamil Nadu
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## < 20 MOS Transistor Calculators

Sidewall Voltage Equivalence Factor
Sidewall Voltage Equivalence Factor = -(2*sqrt(Built in Potential of Sidewall Junctions)/(Final Voltage-Initial Voltage)*(sqrt(Built in Potential of Sidewall Junctions-Final Voltage)-sqrt(Built in Potential of Sidewall Junctions-Initial Voltage)))
Pull down Current in Linear Region
Linear Region Pull Down Current = sum(x,0,Number of Parallel Driver Transistors,(Electron Mobility*Oxide Capacitance/2)*(Channel Width/Channel Length)*(2*(Gate Source Voltage-Threshold Voltage)*Output Voltage-Output Voltage^2))
Pull down Current in Saturation Region
Saturation Region Pull Down Current = sum(x,0,Number of Parallel Driver Transistors,(Electron Mobility*Oxide Capacitance/2)*(Channel Width/Channel Length)*(Gate Source Voltage-Threshold Voltage)^2)
Saturation Time
Saturation Time = -2*Load Capacitance/(Transconductance Process Parameter*(High Output Voltage-Threshold Voltage)^2)*int(1,x,High Output Voltage,High Output Voltage-Threshold Voltage)
Drain Current Flowing through MOS Transistor
Drain Current = (Channel Width/Channel Length)*Electron Mobility*Oxide Capacitance*int((Gate Source Voltage-x-Threshold Voltage),x,0,Drain Source Voltage)
Time Delay when NMOS Operates in Linear Region
Linear Region in Time Delay = -2*Junction Capacitance*int(1/(Transconductance Process Parameter*(2*(Input Voltage-Threshold Voltage)*x-x^2)),x,Initial Voltage,Final Voltage)
Depletion Region Charge Density
Density of Depletion Layer Charge = (sqrt(2*[Charge-e]*[Permitivity-silicon]*Doping Concentration of Acceptor*modulus(Surface Potential-Bulk Fermi Potential)))
Depth of Depletion Region Associated with Drain
Drain's Depth of Depletion Region = sqrt((2*[Permitivity-silicon]*(Built in Junction Potential+Drain Source Voltage)) /([Charge-e]*Doping Concentration of Acceptor))
Drain Current in Saturation Region in MOS Transistor
Saturation Region Drain Current = Channel Width*Saturation Electron Drift Velocity*int(Charge*Short Channel Parameter,x,0,Effective Channel Length)
Fermi Potential for P Type
Fermi Potential for P Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Intrinsic Carrier Concentration/Doping Concentration of Acceptor)
Maximum Depletion Depth
Maximum Depletion Depth = sqrt((2*[Permitivity-silicon]*modulus(2*Bulk Fermi Potential))/([Charge-e]*Doping Concentration of Acceptor))
Fermi Potential for N Type
Fermi Potential for N Type = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln(Donor Dopant Concentration/Intrinsic Carrier Concentration)
Equivalent Large Signal Capacitance
Equivalent Large Signal Capacitance = (1/(Final Voltage-Initial Voltage))*int(Junction Capacitance*x,x,Initial Voltage,Final Voltage)
Built in Potential at Depletion Region
Built in Voltage = -(sqrt(2*[Charge-e]*[Permitivity-silicon]*Doping Concentration of Acceptor*modulus(-2*Bulk Fermi Potential)))
Depth of Depletion Region Associated with Source
Source's Depth of Depletion Region = sqrt((2*[Permitivity-silicon]*Built in Junction Potential)/([Charge-e]*Doping Concentration of Acceptor))
Substrate Bias Coefficient
Substrate Bias Coefficient = sqrt(2*[Charge-e]*[Permitivity-silicon]*Doping Concentration of Acceptor)/Oxide Capacitance
Average Power Dissipated over Period of Time
Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken)
Equivalent Large Signal Junction Capacitance
Equivalent Large Signal Junction Capacitance = Perimeter of Sidewall*Sidewall Junction Capacitance*Sidewall Voltage Equivalence Factor
Work Function in MOSFET
Work Function = Vaccum Level+(Conduction Band Energy Level-Fermi Level)
Zero Bias Sidewall Junction Capacitance per Unit Length
Sidewall Junction Capacitance = Zero Bias Sidewall Junction Potential*Depth of Sidewall

## Average Power Dissipated over Period of Time Formula

Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken)
Pavg = (1/ttotal)*int(Vt*it,x,0,ttotal)

## What are the Applications of Average Power Dissipated over Period of Time ?

1. Component Selection: By calculating the average power dissipated in a component (like a resistor or transistor) within a circuit, engineers can choose components with appropriate power ratings. This ensures the components can handle the heat generated without overheating or failing.

2. Circuit Efficiency: Average power dissipation helps analyze how efficiently a circuit operates. Lower average power dissipation indicates less energy wasted as heat, leading to a more efficient design.

## How to Calculate Average Power Dissipated over Period of Time?

Average Power Dissipated over Period of Time calculator uses Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken) to calculate the Average Power, The Average Power Dissipated over Period of Time formula refers to the rate at which energy is transferred or work is done, on average, over a certain period of time. In simpler terms, it's the amount of energy used per unit of time. Average Power is denoted by Pavg symbol.

How to calculate Average Power Dissipated over Period of Time using this online calculator? To use this online calculator for Average Power Dissipated over Period of Time, enter Total Time Taken (ttotal), Voltage (Vt), Current (it) & Total Time Taken (ttotal) and hit the calculate button. Here is how the Average Power Dissipated over Period of Time calculation can be explained with given input values -> 18.8215 = (1/80)*int(4.565*4.123,x,0,80).

### FAQ

What is Average Power Dissipated over Period of Time?
The Average Power Dissipated over Period of Time formula refers to the rate at which energy is transferred or work is done, on average, over a certain period of time. In simpler terms, it's the amount of energy used per unit of time and is represented as Pavg = (1/ttotal)*int(Vt*it,x,0,ttotal) or Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken). Total Time Taken is the total time taken by the body to cover that space, Voltage represents the electrical pressure that pushes electric current through a conductor, Current signifies the rate of flow of electric charge through a conductor & Total Time Taken is the total time taken by the body to cover that space.
How to calculate Average Power Dissipated over Period of Time?
The Average Power Dissipated over Period of Time formula refers to the rate at which energy is transferred or work is done, on average, over a certain period of time. In simpler terms, it's the amount of energy used per unit of time is calculated using Average Power = (1/Total Time Taken)*int(Voltage*Current,x,0,Total Time Taken). To calculate Average Power Dissipated over Period of Time, you need Total Time Taken (ttotal), Voltage (Vt), Current (it) & Total Time Taken (ttotal). With our tool, you need to enter the respective value for Total Time Taken, Voltage, Current & Total Time Taken 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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