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Resistive Load Minimum Input Voltage CMOS Formula

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Resistive Load Minimum Input Voltage is defined as the Minimum input voltage which can be interpreted as logic "1" when the load type is resistance. Check FAQs

V IH(RL) = V T0 + \sqrt{\frac{8 \cdot V DD}{3 \cdot K n \cdot R L}} - (\frac{1}{K n \cdot R L})

V_IH(RL) - Resistive Load Minimum Input Voltage?V_T0 - Zero Bias Threshold Voltage?V_DD - Supply Voltage?K_n - Transconductance of NMOS?R_L - Load Resistance?

Resistive Load Minimum Input Voltage CMOS Example

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Here is how the Resistive Load Minimum Input Voltage CMOS equation looks like with Values.

Here is how the Resistive Load Minimum Input Voltage CMOS equation looks like with Units.

Here is how the Resistive Load Minimum Input Voltage CMOS equation looks like.

1.5458 = 1.4 + \sqrt{\frac{8 \cdot 3.3}{3 \cdot 200 \cdot 2}} - (\frac{1}{200 \cdot 2})

1.5458V = 1.4V + \sqrt{\frac{8 \cdot 3.3V}{3 \cdot 200µA/V² \cdot 2MΩ}} - (\frac{1}{200µA/V² \cdot 2MΩ})

1.5458 = 1.4 + \sqrt{\frac{8 \cdot 3.3}{3 \cdot 200 \cdot 2}} - (\frac{1}{200 \cdot 2})

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Resistive Load Minimum Input Voltage CMOS Solution

Follow our step by step solution on how to calculate Resistive Load Minimum Input Voltage CMOS?

FIRST Step Consider the formula

V IH(RL) = V T0 + \sqrt{\frac{8 \cdot V DD}{3 \cdot K n \cdot R L}} - (\frac{1}{K n \cdot R L})

Next Step Substitute values of Variables

∴

V IH(RL) = 1.4V + \sqrt{\frac{8 \cdot 3.3V}{3 \cdot 200µA/V² \cdot 2MΩ}} - (\frac{1}{200µA/V² \cdot 2MΩ})

Next Step Convert Units

∴

V IH(RL) = 1.4V + \sqrt{\frac{8 \cdot 3.3V}{3 \cdot 0.0002A/V² \cdot 2E+6Ω}} - (\frac{1}{0.0002A/V² \cdot 2E+6Ω})

Next Step Prepare to Evaluate

∴

V IH(RL) = 1.4 + \sqrt{\frac{8 \cdot 3.3}{3 \cdot 0.0002 \cdot 2E+6}} - (\frac{1}{0.0002 \cdot 2E+6})

Next Step Evaluate

∴

V IH(RL) = 1.54582396974191V

LAST Step Rounding Answer

∴

V IH(RL) = 1.5458V

Resistive Load Minimum Input Voltage CMOS Formula Elements

Variables

Functions

Resistive Load Minimum Input Voltage

Resistive Load Minimum Input Voltage is defined as the Minimum input voltage which can be interpreted as logic "1" when the load type is resistance.

Symbol: V_IH(RL)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Resistive Load Minimum Input Voltage

Zero Bias Threshold Voltage

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.

Symbol: V_T0

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Zero Bias Threshold Voltage

Supply Voltage

Supply voltage refers to the voltage level provided by a power source to an electrical circuit or device, serving as the potential difference for current flow and operation.

Symbol: V_DD

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

Transconductance of NMOS

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.

Symbol: K_n

Measurement: Transconductance ParameterUnit: µA/V²

Note: Value should be greater than 0.

Formulas to find Transconductance of NMOS

Load Resistance

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.

Symbol: R_L

Measurement: Electric ResistanceUnit: MΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in CMOS Inverters category

Go Noise Margin for High Signal CMOS

N MH = V OH - V IH

Go Maximum Input Voltage for Symmetric CMOS

V IL(sym) = \frac{3 \cdot V DD + 2 \cdot V T0,n}{8}

Go Threshold Voltage CMOS

V th = \frac{V T0,n + \sqrt{\frac{1}{K r}} \cdot (V DD + (V T0,p))}{1 + \sqrt{\frac{1}{K r}}}

Go Maximum Input Voltage CMOS

V IL = \frac{2 \cdot V output + (V T0,p) - V DD + K r \cdot V T0,n}{1 + K r}

How to Evaluate Resistive Load Minimum Input Voltage CMOS?

Resistive Load Minimum Input Voltage CMOS evaluator uses 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)) to evaluate the Resistive Load Minimum Input Voltage, Resistive Load Minimum Input Voltage CMOS is the lowest voltage level that can be applied to the input terminal of a CMOS device when it is driving a resistive load, ensuring proper functionality and reliable operation without triggering unintended circuit states or causing errors. Resistive Load Minimum Input Voltage is denoted by V_IH(RL) symbol.

How to evaluate Resistive Load Minimum Input Voltage CMOS using this online evaluator? To use this online evaluator for Resistive Load Minimum Input Voltage CMOS, enter Zero Bias Threshold Voltage (V_T0), Supply Voltage (V_DD), Transconductance of NMOS (K_n) & Load Resistance (R_L) and hit the calculate button.

FAQs on Resistive Load Minimum Input Voltage CMOS

What is the formula to find Resistive Load Minimum Input Voltage CMOS?

The formula of Resistive Load Minimum Input Voltage CMOS is expressed as 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)). Here is an example- 1.545824 = 1.4+sqrt((8*3.3)/(3*0.0002*2000000))-(1/(0.0002*2000000)).

How to calculate Resistive Load Minimum Input Voltage CMOS?

With Zero Bias Threshold Voltage (V_T0), Supply Voltage (V_DD), Transconductance of NMOS (K_n) & Load Resistance (R_L) we can find Resistive Load Minimum Input Voltage CMOS using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

Can the Resistive Load Minimum Input Voltage CMOS be negative?

No, the Resistive Load Minimum Input Voltage CMOS, measured in Electric Potential cannot be negative.

Which unit is used to measure Resistive Load Minimum Input Voltage CMOS?

Resistive Load Minimum Input Voltage CMOS is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Resistive Load Minimum Input Voltage CMOS can be measured.

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Resistive Load Minimum Input Voltage CMOS Formula

Resistive Load Minimum Input Voltage CMOS Example

Resistive Load Minimum Input Voltage CMOS Solution

Resistive Load Minimum Input Voltage CMOS Formula Elements

Other formulas in CMOS Inverters category

How to Evaluate Resistive Load Minimum Input Voltage CMOS?

FAQs on Resistive Load Minimum Input Voltage CMOS

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