Load Capacitance of Cascaded Inverter CMOS Calculator

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✖Gate Drain Capacitance of PMOS in CMOS is defined as the capacitance between the gate and drain terminals of the MOSFET.ⓘ Gate Drain Capacitance of PMOS [C_gd,p]			+10% -10%
✖Gate Drain Capacitance of NMOS in CMOS is defined as the capacitance between the gate and drain terminals of the MOSFET.ⓘ Gate Drain Capacitance of NMOS [C_gd,n]			+10% -10%
✖Drain Bulk Capacitance of PMOS in CMOS is defined as the capacitance between the drain and bulk terminals of the MOSFET.ⓘ Drain Bulk Capacitance of PMOS [C_db,p]			+10% -10%
✖Drain Bulk Capacitance of NMOS in CMOS is defined as the capacitance between the drain and bulk terminals of the MOSFET.ⓘ Drain Bulk Capacitance of NMOS [C_db,n]			+10% -10%
✖Internal Capacitance of Inverter CMOS is defined as the internal capacitance of the inverter.ⓘ Internal Capacitance [C_in]			+10% -10%
✖Gate Capacitance of Inverter CMOS is due to the thin-oxide capacitance over the gate area.ⓘ Gate Capacitance [C_g]			+10% -10%

✖Load Capacitance of Inverter CMOS is defined as combined capacitances into an equivalent lumped linear capacitance.ⓘ Load Capacitance of Cascaded Inverter CMOS [C_load]

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Formula

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Load Capacitance of Cascaded Inverter CMOS

Formula

`"C"_{"load"} = "C"_{"gd,p"}+"C"_{"gd,n"}+"C"_{"db,p"}+"C"_{"db,n"}+"C"_{"in"}+"C"_{"g"}`

Example

`"0.85fF"="0.15fF"+"0.1fF"+"0.25fF"+"0.2fF"+"0.05fF"+"0.1fF"`

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Load Capacitance of Cascaded Inverter CMOS Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
C_load = C_gd,p+C_gd,n+C_db,p+C_db,n+C_in+C_g
This formula uses 7 Variables

Variables Used

Load Capacitance - (Measured in Farad) - Load Capacitance of Inverter CMOS is defined as combined capacitances into an equivalent lumped linear capacitance.
Gate Drain Capacitance of PMOS - (Measured in Farad) - Gate Drain Capacitance of PMOS in CMOS is defined as the capacitance between the gate and drain terminals of the MOSFET.
Gate Drain Capacitance of NMOS - (Measured in Farad) - Gate Drain Capacitance of NMOS in CMOS is defined as the capacitance between the gate and drain terminals of the MOSFET.
Drain Bulk Capacitance of PMOS - (Measured in Farad) - Drain Bulk Capacitance of PMOS in CMOS is defined as the capacitance between the drain and bulk terminals of the MOSFET.
Drain Bulk Capacitance of NMOS - (Measured in Farad) - Drain Bulk Capacitance of NMOS in CMOS is defined as the capacitance between the drain and bulk terminals of the MOSFET.
Internal Capacitance - (Measured in Farad) - Internal Capacitance of Inverter CMOS is defined as the internal capacitance of the inverter.
Gate Capacitance - (Measured in Farad) - Gate Capacitance of Inverter CMOS is due to the thin-oxide capacitance over the gate area.

STEP 1: Convert Input(s) to Base Unit

Gate Drain Capacitance of PMOS: 0.15 Femtofarad --> 1.5E-16 Farad (Check conversion here)
Gate Drain Capacitance of NMOS: 0.1 Femtofarad --> 1E-16 Farad (Check conversion here)
Drain Bulk Capacitance of PMOS: 0.25 Femtofarad --> 2.5E-16 Farad (Check conversion here)
Drain Bulk Capacitance of NMOS: 0.2 Femtofarad --> 2E-16 Farad (Check conversion here)
Internal Capacitance: 0.05 Femtofarad --> 5E-17 Farad (Check conversion here)
Gate Capacitance: 0.1 Femtofarad --> 1E-16 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_load = C_gd,p+C_gd,n+C_db,p+C_db,n+C_in+C_g --> 1.5E-16+1E-16+2.5E-16+2E-16+5E-17+1E-16

Evaluating ... ...

C_load = 8.5E-16

STEP 3: Convert Result to Output's Unit

8.5E-16 Farad -->0.85 Femtofarad (Check conversion here)

FINAL ANSWER

0.85 Femtofarad <-- Load Capacitance

(Calculation completed in 00.004 seconds)

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< 17 CMOS Inverters Calculators

Propagation Delay for Low to High Output Transition CMOS

Go 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

Go 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

Go 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

Go 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

Go 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

Go 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

Go 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 of Cascaded Inverter CMOS

Go 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

Go Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor)

Resistive Load Maximum Input Voltage CMOS

Go Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))

Average Propagation Delay CMOS

Go Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2

Average Power Dissipation CMOS

Go Average Power Dissipation = Load Capacitance*(Supply Voltage)^2*Frequency

Maximum Input Voltage for Symmetric CMOS

Go Maximum Input Voltage = (3*Supply Voltage+2*Threshold Voltage of NMOS Without Body Bias)/8

Minimum Input Voltage for Symmetric CMOS

Go Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8

Oscillation Period Ring Oscillator CMOS

Go Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay

Noise Margin for High Signal CMOS

Go Noise Margin for High Signal = Maximum Output Voltage-Minimum Input Voltage

Transconductance Ratio CMOS

Go Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS

Load Capacitance of Cascaded Inverter CMOS Formula

Why Csb,p and Csb,n is not considered in this formula?

C_sb,p and C_sb,n have no effect on the transient behavior of the circuit since the source-to-substrate voltages of both transistors are always equal to zero.

How to Calculate Load Capacitance of Cascaded Inverter CMOS?

Load Capacitance of Cascaded Inverter CMOS calculator uses 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 to calculate the Load Capacitance, The Load Capacitance of Cascaded Inverter CMOS formula is defined as combined capacitances into an equivalent lumped linear capacitance without miller effect. Load Capacitance is denoted by C_load symbol.

How to calculate Load Capacitance of Cascaded Inverter CMOS using this online calculator? To use this online calculator for Load Capacitance of Cascaded Inverter CMOS, enter Gate Drain Capacitance of PMOS (C_gd,p), Gate Drain Capacitance of NMOS (C_gd,n), Drain Bulk Capacitance of PMOS (C_db,p), Drain Bulk Capacitance of NMOS (C_db,n), Internal Capacitance (C_in) & Gate Capacitance (C_g) and hit the calculate button. Here is how the Load Capacitance of Cascaded Inverter CMOS calculation can be explained with given input values -> 8.5E+14 = 1.5E-16+1E-16+2.5E-16+2E-16+5E-17+1E-16.

FAQ

What is Load Capacitance of Cascaded Inverter CMOS?

The Load Capacitance of Cascaded Inverter CMOS formula is defined as combined capacitances into an equivalent lumped linear capacitance without miller effect and is represented as C_load = C_gd,p+C_gd,n+C_db,p+C_db,n+C_in+C_g or 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. Gate Drain Capacitance of PMOS in CMOS is defined as the capacitance between the gate and drain terminals of the MOSFET, Gate Drain Capacitance of NMOS in CMOS is defined as the capacitance between the gate and drain terminals of the MOSFET, Drain Bulk Capacitance of PMOS in CMOS is defined as the capacitance between the drain and bulk terminals of the MOSFET, Drain Bulk Capacitance of NMOS in CMOS is defined as the capacitance between the drain and bulk terminals of the MOSFET, Internal Capacitance of Inverter CMOS is defined as the internal capacitance of the inverter & Gate Capacitance of Inverter CMOS is due to the thin-oxide capacitance over the gate area.

How to calculate Load Capacitance of Cascaded Inverter CMOS?

The Load Capacitance of Cascaded Inverter CMOS formula is defined as combined capacitances into an equivalent lumped linear capacitance without miller effect is calculated using 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. To calculate Load Capacitance of Cascaded Inverter CMOS, you need Gate Drain Capacitance of PMOS (C_gd,p), Gate Drain Capacitance of NMOS (C_gd,n), Drain Bulk Capacitance of PMOS (C_db,p), Drain Bulk Capacitance of NMOS (C_db,n), Internal Capacitance (C_in) & Gate Capacitance (C_g). With our tool, you need to enter the respective value for Gate Drain Capacitance of PMOS, Gate Drain Capacitance of NMOS, Drain Bulk Capacitance of PMOS, Drain Bulk Capacitance of NMOS, Internal Capacitance & Gate Capacitance 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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