Transconductance Ratio CMOS Calculator

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✖Transconductance of NMOS in CMOS is defined as the multiplication of mobility of electrons, width to length ratio of NMOS and oxide capacitance.ⓘ Transconductance of NMOS [K_n]			+10% -10%
✖Transconductance of PMOS in CMOS is defined as the multiplication of mobility of electrons, width to length ratio of PMOS and oxide capacitance.ⓘ Transconductance of PMOS [K_p]			+10% -10%

✖Transconductance Ratio CMOS is defined as the ratio of transconductance of NMOS to the PMOS.ⓘ Transconductance Ratio CMOS [K_r]

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Transconductance Ratio CMOS

Formula

`"K"_{"r"} = "K"_{"n"}/"K"_{"p"}`

Example

`"2.5"="200µA/V²"/"80µA/V²"`

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Transconductance Ratio CMOS Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS
K_r = K_n/K_p
This formula uses 3 Variables

Variables Used

Transconductance Ratio - Transconductance Ratio CMOS is defined as the ratio of transconductance of NMOS to the PMOS.
Transconductance of NMOS - (Measured in Ampere per Square Volt) - Transconductance of NMOS in CMOS is defined as the multiplication of mobility of electrons, width to length ratio of NMOS and oxide capacitance.
Transconductance of PMOS - (Measured in Ampere per Square Volt) - Transconductance of PMOS in CMOS is defined as the multiplication of mobility of electrons, width to length ratio of PMOS and oxide capacitance.

STEP 1: Convert Input(s) to Base Unit

Transconductance of NMOS: 200 Microampere per Square Volt --> 0.0002 Ampere per Square Volt (Check conversion here)
Transconductance of PMOS: 80 Microampere per Square Volt --> 8E-05 Ampere per Square Volt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_r = K_n/K_p --> 0.0002/8E-05

Evaluating ... ...

K_r = 2.5

STEP 3: Convert Result to Output's Unit

2.5 --> No Conversion Required

FINAL ANSWER

2.5 <-- Transconductance Ratio

(Calculation completed in 00.004 seconds)

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Created by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

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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

Transconductance Ratio CMOS Formula

Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS
K_r = K_n/K_p

What is the ratio of mobility of electrons to holes?

The mobilty of electrons is approximately 2.5 times higher than the mobility of holes because electrons have a smaller effective mass than holes.

How to Calculate Transconductance Ratio CMOS?

Transconductance Ratio CMOS calculator uses Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS to calculate the Transconductance Ratio, The Transconductance Ratio CMOS formula is defined as the ratio of transconductance parameter of NMOS to PMOS. Transconductance Ratio is denoted by K_r symbol.

How to calculate Transconductance Ratio CMOS using this online calculator? To use this online calculator for Transconductance Ratio CMOS, enter Transconductance of NMOS (K_n) & Transconductance of PMOS (K_p) and hit the calculate button. Here is how the Transconductance Ratio CMOS calculation can be explained with given input values -> 2.5 = 0.0002/8E-05.

FAQ

What is Transconductance Ratio CMOS?

The Transconductance Ratio CMOS formula is defined as the ratio of transconductance parameter of NMOS to PMOS and is represented as K_r = K_n/K_p or Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS. Transconductance of NMOS in CMOS is defined as the multiplication of mobility of electrons, width to length ratio of NMOS and oxide capacitance & Transconductance of PMOS in CMOS is defined as the multiplication of mobility of electrons, width to length ratio of PMOS and oxide capacitance.

How to calculate Transconductance Ratio CMOS?

The Transconductance Ratio CMOS formula is defined as the ratio of transconductance parameter of NMOS to PMOS is calculated using Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS. To calculate Transconductance Ratio CMOS, you need Transconductance of NMOS (K_n) & Transconductance of PMOS (K_p). With our tool, you need to enter the respective value for Transconductance of NMOS & Transconductance of PMOS 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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