Transconductance Ratio CMOS Calculator

✖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.ⓘ Transconductance of NMOS [K_n]			+10% -10%
✖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.ⓘ Transconductance of PMOS [K_p]			+10% -10%

✖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.ⓘ Transconductance Ratio CMOS [K_r]

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Formula

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Transconductance Ratio CMOS

Formula

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

Example

2.5 = \frac{200 µA/V²}{80 µA/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 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.
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.
Transconductance of PMOS - (Measured in Ampere per Square Volt) - 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.

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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< CMOS Inverters Calculators

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)

Maximum Input Voltage for Symmetric CMOS

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

Noise Margin for High Signal CMOS

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

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, 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 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?

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 and is represented as K_r = K_n/K_p or Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS. 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 & 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.

How to calculate Transconductance Ratio CMOS?

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 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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