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Transconductance Ratio CMOS Formula

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Transconductance ratio is the ratio of the transconductance of one device (e.g., transistor) to another, often used to compare or characterize their performance or behavior in circuits. Check FAQs

K r = \frac{K n}{K p}

K_r - Transconductance Ratio?K_n - Transconductance of NMOS?K_p - Transconductance of PMOS?

Transconductance Ratio CMOS Example

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Here is how the Transconductance Ratio CMOS equation looks like with Values.

Here is how the Transconductance Ratio CMOS equation looks like with Units.

Here is how the Transconductance Ratio CMOS equation looks like.

2.5 = \frac{200}{80}

2.5 = \frac{200µA/V²}{80µA/V²}

2.5 = \frac{200}{80}

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Transconductance Ratio CMOS Solution

Follow our step by step solution on how to calculate Transconductance Ratio CMOS?

FIRST Step Consider the formula

K r = \frac{K n}{K p}

Next Step Substitute values of Variables

∴

K r = \frac{200µA/V²}{80µA/V²}

Next Step Convert Units

∴

K r = \frac{0.0002A/V²}{8E-5A/V²}

Next Step Prepare to Evaluate

∴

K r = \frac{0.0002}{8E-5}

LAST Step Evaluate

∴

K r = 2.5

Transconductance Ratio CMOS Formula Elements

Variables

Transconductance Ratio

Transconductance ratio is the ratio of the transconductance of one device (e.g., transistor) to another, often used to compare or characterize their performance or behavior in circuits.

Symbol: K_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transconductance Ratio

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

Transconductance of PMOS

Transconductance of PMOS 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_p

Measurement: Transconductance ParameterUnit: µA/V²

Note: Value should be greater than 0.

Formulas to find Transconductance of PMOS

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 Transconductance Ratio CMOS?

Transconductance Ratio CMOS evaluator uses Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS to evaluate the Transconductance Ratio, Transconductance Ratio CMOS is the ratio of transconductance (change in output current in response to a change in input voltage) of two CMOS devices. It quantifies their relative performance or behavior in amplification or switching applications, providing insight into circuit design and optimization. Transconductance Ratio is denoted by K_r symbol.

How to evaluate Transconductance Ratio CMOS using this online evaluator? To use this online evaluator for Transconductance Ratio CMOS, enter Transconductance of NMOS (K_n) & Transconductance of PMOS (K_p) and hit the calculate button.

FAQs on Transconductance Ratio CMOS

What is the formula to find Transconductance Ratio CMOS?

The formula of Transconductance Ratio CMOS is expressed as Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS. Here is an example- 2.5 = 0.0002/8E-05.

How to calculate Transconductance Ratio CMOS?

With Transconductance of NMOS (K_n) & Transconductance of PMOS (K_p) we can find Transconductance Ratio CMOS using the formula - Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS.

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Transconductance Ratio CMOS Formula

Transconductance Ratio CMOS Example

Transconductance Ratio CMOS Solution

Transconductance Ratio CMOS Formula Elements

Other formulas in CMOS Inverters category

How to Evaluate Transconductance Ratio CMOS?

FAQs on Transconductance Ratio CMOS

Variable Name