## Resistive Load Maximum Input Voltage CMOS Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))
VIL(RL) = VT0+(1/(Kn*RL))
This formula uses 4 Variables
Variables Used
Resistive Load Maximum Input Voltage CMOS - (Measured in Volt) - Resistive load maximum input voltage CMOS for a resistive load in CMOS refers to the highest voltage level that can be applied to the input terminal of a CMOS device without causing damage.
Zero Bias Threshold Voltage - (Measured in Volt) - Zero bias threshold voltage refers to the threshold voltage of a MOSFET when no additional bias voltage is applied to the substrate, typically measured between gate and source.
Transconductance of NMOS - (Measured in Ampere per Square Volt) - Transconductance of NMOS refers to the ratio of the change in the output drain current to the change in the input gate-source voltage when the drain-source voltage is constant.
Load Resistance - (Measured in Ohm) - Load Resistance is the resistance presented by the external load connected to a circuit, determining the amount of current drawn and influencing the circuit's voltage and power distribution.
STEP 1: Convert Input(s) to Base Unit
Zero Bias Threshold Voltage: 1.4 Volt --> 1.4 Volt No Conversion Required
Transconductance of NMOS: 200 Microampere per Square Volt --> 0.0002 Ampere per Square Volt (Check conversion ​here)
Load Resistance: 2 Megohm --> 2000000 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VIL(RL) = VT0+(1/(Kn*RL)) --> 1.4+(1/(0.0002*2000000))
Evaluating ... ...
VIL(RL) = 1.4025
STEP 3: Convert Result to Output's Unit
1.4025 Volt --> No Conversion Required
1.4025 Volt <-- Resistive Load Maximum Input Voltage CMOS
(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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## < 16 CMOS Inverters Calculators

Propagation Delay for Low to High Output Transition CMOS
Time for Low to High Transition of Output = (Inverter CMOS 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 = (Inverter CMOS 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))
Inverter CMOS Load Capacitance = PMOS Gate Drain Capacitance+NMOS Gate Drain Capacitance+PMOS Drain Bulk Capacitance+NMOS Drain Bulk Capacitance+Inverter CMOS Internal Capacitance+Inverter CMOS Gate Capacitance
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)
Resistive Load Maximum Input Voltage CMOS
Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))
Average Power Dissipation CMOS
Average Power Dissipation = Inverter CMOS Load Capacitance*(Supply Voltage)^2*Frequency
Average Propagation Delay CMOS
Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2
Maximum Input Voltage for Symmetric CMOS
Maximum Input Voltage Symmetric CMOS = (3*Supply Voltage+2*Threshold Voltage of NMOS Without Body Bias)/8
Minimum Input Voltage for Symmetric CMOS
Minimum Input Voltage Symmetric CMOS = (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

## Resistive Load Maximum Input Voltage CMOS Formula

Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))
VIL(RL) = VT0+(1/(Kn*RL))

## In which region Resistive load inverter lies at the time of Maximum input voltage?

Resistive load inverter lies in the saturation region at the time of maximum input voltage where Vout > Vin - VT0.

## How to Calculate Resistive Load Maximum Input Voltage CMOS?

Resistive Load Maximum Input Voltage CMOS calculator uses Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance)) to calculate the Resistive Load Maximum Input Voltage CMOS, Resistive Load Maximum Input Voltage CMOS is the highest voltage level that can be safely applied to the input terminal of a CMOS device when it is driving a resistive load, without exceeding the device's specified voltage limits or causing damage. Resistive Load Maximum Input Voltage CMOS is denoted by VIL(RL) symbol.

How to calculate Resistive Load Maximum Input Voltage CMOS using this online calculator? To use this online calculator for Resistive Load Maximum Input Voltage CMOS, enter Zero Bias Threshold Voltage (VT0), Transconductance of NMOS (Kn) & Load Resistance (RL) and hit the calculate button. Here is how the Resistive Load Maximum Input Voltage CMOS calculation can be explained with given input values -> 1.4025 = 1.4+(1/(0.0002*2000000)).

### FAQ

What is Resistive Load Maximum Input Voltage CMOS?
Resistive Load Maximum Input Voltage CMOS is the highest voltage level that can be safely applied to the input terminal of a CMOS device when it is driving a resistive load, without exceeding the device's specified voltage limits or causing damage and is represented as VIL(RL) = VT0+(1/(Kn*RL)) or Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance)). Zero bias threshold voltage refers to the threshold voltage of a MOSFET when no additional bias voltage is applied to the substrate, typically measured between gate and source, Transconductance of NMOS refers to the ratio of the change in the output drain current to the change in the input gate-source voltage when the drain-source voltage is constant & Load Resistance is the resistance presented by the external load connected to a circuit, determining the amount of current drawn and influencing the circuit's voltage and power distribution.
How to calculate Resistive Load Maximum Input Voltage CMOS?
Resistive Load Maximum Input Voltage CMOS is the highest voltage level that can be safely applied to the input terminal of a CMOS device when it is driving a resistive load, without exceeding the device's specified voltage limits or causing damage is calculated using Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance)). To calculate Resistive Load Maximum Input Voltage CMOS, you need Zero Bias Threshold Voltage (VT0), Transconductance of NMOS (Kn) & Load Resistance (RL). With our tool, you need to enter the respective value for Zero Bias Threshold Voltage, Transconductance of NMOS & Load Resistance 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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