## Energy Delivered by Power Supply Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor)
EDD = int(VDD*iD[t]*x,x,0,Tc)
This formula uses 1 Functions, 4 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
Energy Delivered by Power Supply - (Measured in Joule) - Energy Delivered by Power Supply charge the capacitor.
Supply Voltage - (Measured in Volt) - Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS.
Instantaneous Drain Current - (Measured in Ampere) - Instantaneous Drain Current during charging or discharging can be calculated using the capacitor charging or discharging equations, respectively.
Charging Interval of Capacitor - (Measured in Second) - Charging Interval of Capacitor is the time taken by the capacitor to charge.
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 3.3 Volt --> 3.3 Volt No Conversion Required
Instantaneous Drain Current: 4 Ampere --> 4 Ampere No Conversion Required
Charging Interval of Capacitor: 3 Second --> 3 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EDD = int(VDD*iD[t]*x,x,0,Tc) --> int(3.3*4*x,x,0,3)
Evaluating ... ...
EDD = 59.4
STEP 3: Convert Result to Output's Unit
59.4 Joule --> No Conversion Required
59.4 Joule <-- Energy Delivered by Power Supply
(Calculation completed in 00.004 seconds)
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Created by Zaheer Sheik
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## < 17 CMOS Inverters Calculators

Propagation Delay for Low to High Output Transition CMOS
Time for Low to High Transition of Output = (Load Capacitance/(Transconductance of PMOS*(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias))))*(((2*abs(Threshold Voltage of PMOS with Body Bias))/(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias)))+ln((4*(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias))/Supply Voltage)-1))
Propagation Delay for High to Low Output Transition CMOS
Time for High to Low Transition of Output = (Load Capacitance/(Transconductance of NMOS*(Supply Voltage-Threshold Voltage of NMOS with Body Bias)))*((2*Threshold Voltage of NMOS with Body Bias/(Supply Voltage-Threshold Voltage of NMOS with Body Bias))+ln((4*(Supply Voltage-Threshold Voltage of NMOS with Body Bias)/Supply Voltage)-1))
Resistive Load Minimum Output Voltage CMOS
Resistive Load Minimum Output Voltage = Supply Voltage-Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))-sqrt((Supply Voltage-Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance)))^2-(2*Supply Voltage/(Transconductance of NMOS*Load Resistance)))
Threshold Voltage CMOS
Threshold Voltage = (Threshold Voltage of NMOS Without Body Bias+sqrt(1/Transconductance Ratio)*(Supply Voltage+(Threshold Voltage of PMOS Without Body Bias)))/(1+sqrt(1/Transconductance Ratio))
Maximum Input Voltage CMOS
Maximum Input Voltage CMOS = (2*Output Voltage for Max Input+(Threshold Voltage of PMOS Without Body Bias)-Supply Voltage+Transconductance Ratio*Threshold Voltage of NMOS Without Body Bias)/(1+Transconductance Ratio)
Resistive Load Minimum Input Voltage CMOS
Resistive Load Minimum Input Voltage = Zero Bias Threshold Voltage+sqrt((8*Supply Voltage)/(3*Transconductance of NMOS*Load Resistance))-(1/(Transconductance of NMOS*Load Resistance))
Minimum Input Voltage CMOS
Minimum Input Voltage = (Supply Voltage+(Threshold Voltage of PMOS Without Body Bias)+Transconductance Ratio*(2*Output Voltage+Threshold Voltage of NMOS Without Body Bias))/(1+Transconductance Ratio)
Load Capacitance = Gate Drain Capacitance of PMOS+Gate Drain Capacitance of NMOS+Drain Bulk Capacitance of PMOS+Drain Bulk Capacitance of NMOS+Internal Capacitance+Gate Capacitance
Energy Delivered by Power Supply
Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor)
Resistive Load Maximum Input Voltage CMOS
Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))
Average Propagation Delay CMOS
Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2
Average Power Dissipation CMOS
Average Power Dissipation = Load Capacitance*(Supply Voltage)^2*Frequency
Maximum Input Voltage for Symmetric CMOS
Maximum Input Voltage = (3*Supply Voltage+2*Threshold Voltage of NMOS Without Body Bias)/8
Minimum Input Voltage for Symmetric CMOS
Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8
Oscillation Period Ring Oscillator CMOS
Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay
Noise Margin for High Signal CMOS
Noise Margin for High Signal = Maximum Output Voltage-Minimum Input Voltage
Transconductance Ratio CMOS
Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS

## Energy Delivered by Power Supply Formula

Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor)
EDD = int(VDD*iD[t]*x,x,0,Tc)

## Why Energy Delivered by Power Supply is calculated?

Calculating the energy delivered by the power supply provides valuable insights into the power requirements, efficiency, thermal management, and overall performance of the CMOS circuit with a capacitor connected at the output. It enables designers to make informed decisions during the design, optimization, and operation of the circuit, leading to more robust and efficient systems.

## How to Calculate Energy Delivered by Power Supply?

Energy Delivered by Power Supply calculator uses Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor) to calculate the Energy Delivered by Power Supply, The Energy Delivered by Power Supply formula is defined as the energy delivered by the power supply to charge the capacitor can be determined by integrating power over the charging interval Tc. Energy Delivered by Power Supply is denoted by EDD symbol.

How to calculate Energy Delivered by Power Supply using this online calculator? To use this online calculator for Energy Delivered by Power Supply, enter Supply Voltage (VDD), Instantaneous Drain Current (iD[t]) & Charging Interval of Capacitor (Tc) and hit the calculate button. Here is how the Energy Delivered by Power Supply calculation can be explained with given input values -> 59.4 = int(3.3*4*x,x,0,3).

### FAQ

What is Energy Delivered by Power Supply?
The Energy Delivered by Power Supply formula is defined as the energy delivered by the power supply to charge the capacitor can be determined by integrating power over the charging interval Tc and is represented as EDD = int(VDD*iD[t]*x,x,0,Tc) or Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor). Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS, Instantaneous Drain Current during charging or discharging can be calculated using the capacitor charging or discharging equations, respectively & Charging Interval of Capacitor is the time taken by the capacitor to charge.
How to calculate Energy Delivered by Power Supply?
The Energy Delivered by Power Supply formula is defined as the energy delivered by the power supply to charge the capacitor can be determined by integrating power over the charging interval Tc is calculated using Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor). To calculate Energy Delivered by Power Supply, you need Supply Voltage (VDD), Instantaneous Drain Current (iD[t]) & Charging Interval of Capacitor (Tc). With our tool, you need to enter the respective value for Supply Voltage, Instantaneous Drain Current & Charging Interval of Capacitor 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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